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  1. Rémi Eismann @[email protected] ·

    This animation is available for the 1000 sequences decomposed on my website.
    Accessible from the 3Dgraph, 2Dgraph500terms and 2dgraphs pages ➡️ decompwlj.com

    #decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

    #research #arithmetic #theorem #fundamental #sieve #graphs
  2. Rémi Eismann @[email protected] ·

    This animation is available for the 1000 sequences decomposed on my website.
    Accessible from the 3Dgraph, 2Dgraph500terms and 2dgraphs pages ➡️ decompwlj.com

    #decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

    #research #arithmetic #theorem #fundamental #sieve #graphs
  3. Rémi Eismann @[email protected] ·

    4: The palindromes in base 10 (A002113) ➡️ decompwlj.com/3DgraphGen/Palin

    #decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

    #research #arithmetic #theorem #fundamental #sieve #graphs
  4. Rémi Eismann @[email protected] ·

    4: The palindromes in base 10 (A002113) ➡️ decompwlj.com/3DgraphGen/Palin

    #decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

    #research #arithmetic #theorem #fundamental #sieve #graphs
  5. Rémi Eismann @[email protected] ·

    3: The triangular numbers (A000217) ➡️ decompwlj.com/3DgraphGen/Trian

    #decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

    #research #arithmetic #theorem #fundamental #sieve #graphs
  6. Rémi Eismann @[email protected] ·

    3: The triangular numbers (A000217) ➡️ decompwlj.com/3DgraphGen/Trian

    #decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

    #research #arithmetic #theorem #fundamental #sieve #graphs
  7. Rémi Eismann @[email protected] ·

    2: The prime numbers (A000040) ➡️ decompwlj.com/3DgraphGen/Prime

    #decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

    #research #arithmetic #theorem #fundamental #sieve #graphs
  8. Rémi Eismann @[email protected] ·

    2: The prime numbers (A000040) ➡️ decompwlj.com/3DgraphGen/Prime

    #decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

    #research #arithmetic #theorem #fundamental #sieve #graphs
  9. Rémi Eismann @[email protected] ·

    Generation of four sequences decomposed into weight × level + jump (log(weight), log(level), log(jump)) - three.js animation:
    🧵⬇️

    1: The natural numbers (A000027) ➡️ decompwlj.com/3DgraphGen/Natur

    #decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

    #research #arithmetic #theorem #fundamental #sieve #graphs
  10. Rémi Eismann @[email protected] ·

    Generation of four sequences decomposed into weight × level + jump (log(weight), log(level), log(jump)) - three.js animation:
    🧵⬇️

    1: The natural numbers (A000027) ➡️ decompwlj.com/3DgraphGen/Natur

    #decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

    #research #arithmetic #theorem #fundamental #sieve #graphs
  11. Rémi Eismann @[email protected] ·

    A055393: Sum of a square and a nonnegative cube in more than one way
    A055393 ➡️ oeis.org/A055393

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A055393.
    3D graph Gen, threejs animation ➡️ decompwlj.com/3DgraphGen/A0553
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

    #research #arithmetic #theorem #fundamental #sieve #graphs
  12. Rémi Eismann @[email protected] ·

    A055393: Sum of a square and a nonnegative cube in more than one way
    A055393 ➡️ oeis.org/A055393

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A055393.
    3D graph Gen, threejs animation ➡️ decompwlj.com/3DgraphGen/A0553
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

    #research #arithmetic #theorem #fundamental #sieve #graphs
  13. Rémi Eismann @[email protected] ·

    We see the fundamental theorem of arithmetic and the sieve of Eratosthenes in the decomposition into weight × level + jump of natural numbers. Applied to prime numbers this decomposition leads to a new classification of primes.

    #decompwlj #math #mathematics #maths #sequence #OEIS #graph #numbers #primes #PrimeNumbers #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #SieveofEratosthenes #sieve #Eratosthenes #fundamental #theorem #arithmetic #research

    #research #arithmetic #theorem #fundamental #eratosthenes #sieve
  14. Rémi Eismann @[email protected] ·

    We see the fundamental theorem of arithmetic and the sieve of Eratosthenes in the decomposition into weight × level + jump of natural numbers. Applied to prime numbers this decomposition leads to a new classification of primes.

    #decompwlj #math #mathematics #maths #sequence #OEIS #graph #numbers #primes #PrimeNumbers #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #SieveofEratosthenes #sieve #Eratosthenes #fundamental #theorem #arithmetic #research

    #research #arithmetic #theorem #fundamental #eratosthenes #sieve
  15. Rémi Eismann @[email protected] ·

    A055040: Numbers of the form 3^(2i+1)*(3*j+2)
    A055040 ➡️ oeis.org/A055040

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A055040.
    3D graph Gen, threejs animation ➡️ decompwlj.com/3DgraphGen/A0550
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

    #research #arithmetic #theorem #fundamental #sieve #graphs
  16. Rémi Eismann @[email protected] ·

    A055040: Numbers of the form 3^(2i+1)*(3*j+2)
    A055040 ➡️ oeis.org/A055040

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A055040.
    3D graph Gen, threejs animation ➡️ decompwlj.com/3DgraphGen/A0550
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

    #research #arithmetic #theorem #fundamental #sieve #graphs
  17. Rémi Eismann @[email protected] ·

    A054800: First term of balanced prime quartets: p(m+1)-p(m) = p(m+2)-p(m+1) = p(m+3)-p(m+2)
    A054800 ➡️ oeis.org/A054800

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A054800.
    3D graph Gen, threejs animation ➡️ decompwlj.com/3DgraphGen/A0548
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

    #research #arithmetic #theorem #fundamental #sieve #graphs
  18. Rémi Eismann @[email protected] ·

    A054800: First term of balanced prime quartets: p(m+1)-p(m) = p(m+2)-p(m+1) = p(m+3)-p(m+2)
    A054800 ➡️ oeis.org/A054800

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A054800.
    3D graph Gen, threejs animation ➡️ decompwlj.com/3DgraphGen/A0548
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

    #research #arithmetic #theorem #fundamental #sieve #graphs
  19. Rémi Eismann @[email protected] ·

    My first, favorite and most important sequence, the weights of prime numbers: A117078
    We see prime numbers classified by level and by weight on the graph.

    A117078: a(n) is the smallest k such that prime(n+1) = prime(n) + (prime(n) mod k), or 0 if no such k exists ➡️ oeis.org/A117078

    #decompwlj #math #mathematics #maths #sequence #OEIS #graph #numbers #primes #PrimeNumbers #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

    #research #arithmetic #theorem #fundamental #sieve #graphs
  20. Rémi Eismann @[email protected] ·

    My first, favorite and most important sequence, the weights of prime numbers: A117078
    We see prime numbers classified by level and by weight on the graph.

    A117078: a(n) is the smallest k such that prime(n+1) = prime(n) + (prime(n) mod k), or 0 if no such k exists ➡️ oeis.org/A117078

    #decompwlj #math #mathematics #maths #sequence #OEIS #graph #numbers #primes #PrimeNumbers #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

    #research #arithmetic #theorem #fundamental #sieve #graphs
  21. Rémi Eismann @[email protected] ·

    A054741: Numbers m such that totient(m) < cototient(m)
    A054741 ➡️ oeis.org/A054741

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A054741.
    3D graph Gen, threejs animation ➡️ decompwlj.com/3DgraphGen/A0547
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

    #research #arithmetic #theorem #fundamental #sieve #graphs
  22. Rémi Eismann @[email protected] ·

    A054741: Numbers m such that totient(m) < cototient(m)
    A054741 ➡️ oeis.org/A054741

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A054741.
    3D graph Gen, threejs animation ➡️ decompwlj.com/3DgraphGen/A0547
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

    #research #arithmetic #theorem #fundamental #sieve #graphs
  23. Rémi Eismann @[email protected] ·

    A054520: Let S = {1,5,9,13,..., 4n+1, ...} and call p in S an S-prime if p>1 and the only divisors of p in S are 1 and p; sequence gives elements of S that are not S-primes
    A054520 ➡️ oeis.org/A054520

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A054520.
    3D graph Gen, threejs animation ➡️ decompwlj.com/3DgraphGen/A0545
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

    #research #arithmetic #theorem #fundamental #sieve #graphs
  24. Rémi Eismann @[email protected] ·

    A054520: Let S = {1,5,9,13,..., 4n+1, ...} and call p in S an S-prime if p>1 and the only divisors of p in S are 1 and p; sequence gives elements of S that are not S-primes
    A054520 ➡️ oeis.org/A054520

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A054520.
    3D graph Gen, threejs animation ➡️ decompwlj.com/3DgraphGen/A0545
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

    #research #arithmetic #theorem #fundamental #sieve #graphs
  25. Rémi Eismann @[email protected] ·

    Decomposition into weight × level + jump of prime numbers:
    - a new classification of primes ➡️ decompwlj.com/primedecomp.php
    - in 3D - threejs - webGL ➡️ decompwlj.com/3Dgraph/Prime_nu

    #decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #numbers #primes #PrimeNumbers #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

    #research #arithmetic #theorem #fundamental #sieve #graphs
  26. Rémi Eismann @[email protected] ·

    Decomposition into weight × level + jump of prime numbers:
    - a new classification of primes ➡️ decompwlj.com/primedecomp.php
    - in 3D - threejs - webGL ➡️ decompwlj.com/3Dgraph/Prime_nu

    #decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #numbers #primes #PrimeNumbers #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

    #research #arithmetic #theorem #fundamental #sieve #graphs
  27. Rémi Eismann @[email protected] ·

    A054385: Beatty sequence for e/(e-1); complement of A022843
    A054385 ➡️ oeis.org/A054385

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A054385.
    3D graph Gen, threejs animation ➡️ decompwlj.com/3DgraphGen/A0543
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

    #research #arithmetic #theorem #fundamental #sieve #graphs
  28. Rémi Eismann @[email protected] ·

    A054385: Beatty sequence for e/(e-1); complement of A022843
    A054385 ➡️ oeis.org/A054385

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A054385.
    3D graph Gen, threejs animation ➡️ decompwlj.com/3DgraphGen/A0543
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

    #research #arithmetic #theorem #fundamental #sieve #graphs
  29. Rémi Eismann @[email protected] ·

    A054353: Partial sums of Kolakoski sequence A000002
    A054353 ➡️ oeis.org/A054353

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A054353.
    3D graph Gen, threejs animation ➡️ decompwlj.com/3DgraphGen/A0543
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

    #research #arithmetic #theorem #fundamental #sieve #graphs
  30. Rémi Eismann @[email protected] ·

    A054353: Partial sums of Kolakoski sequence A000002
    A054353 ➡️ oeis.org/A054353

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A054353.
    3D graph Gen, threejs animation ➡️ decompwlj.com/3DgraphGen/A0543
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

    #research #arithmetic #theorem #fundamental #sieve #graphs
  31. Rémi Eismann @[email protected] ·

    150 sequences decomposed into weight × level + jump in one GIF (log(weight),log(level)):
    1000 sequences decomposed on decompwlj.com

    #decompwlj #math #mathematics #maths #sequence #OEIS #graph #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

    #research #arithmetic #theorem #fundamental #sieve #graphs
  32. Rémi Eismann @[email protected] ·

    150 sequences decomposed into weight × level + jump in one GIF (log(weight),log(level)):
    1000 sequences decomposed on decompwlj.com

    #decompwlj #math #mathematics #maths #sequence #OEIS #graph #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

    #research #arithmetic #theorem #fundamental #sieve #graphs
  33. Rémi Eismann @[email protected] ·

    A054217: Primes p with property that p concatenated with its emirp p' (prime reversal) forms a palindromic prime of the form 'primemirp' (rightmost digit of p and leftmost digit of p' are blended together - p and p' palindromic allowed)
    A054217 ➡️ oeis.org/A054217

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A054217.
    3D graph Gen, threejs animation ➡️ decompwlj.com/3DgraphGen/A0542
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

    #research #arithmetic #theorem #fundamental #sieve #graphs
  34. Rémi Eismann @[email protected] ·

    A054217: Primes p with property that p concatenated with its emirp p' (prime reversal) forms a palindromic prime of the form 'primemirp' (rightmost digit of p and leftmost digit of p' are blended together - p and p' palindromic allowed)
    A054217 ➡️ oeis.org/A054217

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A054217.
    3D graph Gen, threejs animation ➡️ decompwlj.com/3DgraphGen/A0542
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

    #research #arithmetic #theorem #fundamental #sieve #graphs
  35. Rémi Eismann @[email protected] ·

    A054211: Numbers k such that k concatenated with k-1 is prime
    A054211 ➡️ oeis.org/A054211

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A054211.
    3D graph Gen, threejs animation ➡️ decompwlj.com/3DgraphGen/A0542
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

    #research #arithmetic #theorem #fundamental #sieve #graphs
  36. Rémi Eismann @[email protected] ·

    A054211: Numbers k such that k concatenated with k-1 is prime
    A054211 ➡️ oeis.org/A054211

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A054211.
    3D graph Gen, threejs animation ➡️ decompwlj.com/3DgraphGen/A0542
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

    #research #arithmetic #theorem #fundamental #sieve #graphs
  37. Rémi Eismann @[email protected] ·

    Decomposition into weight × level + jump of prime numbers in 3D, threejs - webGL (log(weight), log(level), log(jump))
    ➡️ decompwlj.com/3Dgraph/Prime_nu

    #decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #numbers #primes #PrimeNumbers #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

    #research #arithmetic #theorem #fundamental #sieve #graphs
  38. Rémi Eismann @[email protected] ·

    Decomposition into weight × level + jump of prime numbers in 3D, threejs - webGL (log(weight), log(level), log(jump))
    ➡️ decompwlj.com/3Dgraph/Prime_nu

    #decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #numbers #primes #PrimeNumbers #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

    #research #arithmetic #theorem #fundamental #sieve #graphs
  39. Rémi Eismann @[email protected] ·

    A054032: Numbers n such that n^2 contains exactly 4 different digits
    A054032 ➡️ oeis.org/A054032

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A054032.
    3D graph Gen, threejs animation ➡️ decompwlj.com/3DgraphGen/A0540
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

    #research #arithmetic #theorem #fundamental #sieve #graphs
  40. Rémi Eismann @[email protected] ·

    A054032: Numbers n such that n^2 contains exactly 4 different digits
    A054032 ➡️ oeis.org/A054032

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A054032.
    3D graph Gen, threejs animation ➡️ decompwlj.com/3DgraphGen/A0540
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

    #research #arithmetic #theorem #fundamental #sieve #graphs
  41. Rémi Eismann @[email protected] ·

    A053868: Numbers whose sum of proper divisors is odd
    A053868 ➡️ oeis.org/A053868

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A053868.
    3D graph Gen, threejs animation ➡️ decompwlj.com/3DgraphGen/A0538
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

    #research #arithmetic #theorem #fundamental #sieve #graphs
  42. Rémi Eismann @[email protected] ·

    A053868: Numbers whose sum of proper divisors is odd
    A053868 ➡️ oeis.org/A053868

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A053868.
    3D graph Gen, threejs animation ➡️ decompwlj.com/3DgraphGen/A0538
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

    #research #arithmetic #theorem #fundamental #sieve #graphs
  43. Rémi Eismann @[email protected] ·

    My data have not been verified but my work is highly reproducible.
    - Downloads (csv, img, dump) ➡️ decompwlj.com/
    - Algorithms ➡️ oeis.org/wiki/Decomposition_in

    #decompwlj #math #mathematics #maths #sequence #OEIS #PARIGP #Downloads #Algorithms #numbers #primes #PrimeNumbers #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

    #research #arithmetic #theorem #fundamental #sieve #graphs
  44. Rémi Eismann @[email protected] ·

    My data have not been verified but my work is highly reproducible.
    - Downloads (csv, img, dump) ➡️ decompwlj.com/
    - Algorithms ➡️ oeis.org/wiki/Decomposition_in

    #decompwlj #math #mathematics #maths #sequence #OEIS #PARIGP #Downloads #Algorithms #numbers #primes #PrimeNumbers #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

    #research #arithmetic #theorem #fundamental #sieve #graphs
  45. Rémi Eismann @[email protected] ·

    A053767: Sum of first n composite numbers
    A053767 ➡️ oeis.org/A053767

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A053767.
    3D graph Gen, threejs animation ➡️ decompwlj.com/3DgraphGen/A0537
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

    #research #arithmetic #theorem #fundamental #sieve #graphs
  46. Rémi Eismann @[email protected] ·

    A053767: Sum of first n composite numbers
    A053767 ➡️ oeis.org/A053767

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A053767.
    3D graph Gen, threejs animation ➡️ decompwlj.com/3DgraphGen/A0537
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

    #research #arithmetic #theorem #fundamental #sieve #graphs
  47. Rémi Eismann @[email protected] ·

    A053726: "Flag numbers": number of dots that can be arranged in successive rows of K, K-1, K, K-1, K, ..., K-1, K (assuming there is a total of L > 1 rows of size K > 1)
    A053726 ➡️ oeis.org/A053726

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/Flag_num
    3D graph Gen, threejs animation ➡️ decompwlj.com/3DgraphGen/Flag_
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

    #research #arithmetic #theorem #fundamental #sieve #graphs
  48. Rémi Eismann @[email protected] ·

    A053726: "Flag numbers": number of dots that can be arranged in successive rows of K, K-1, K, K-1, K, ..., K-1, K (assuming there is a total of L > 1 rows of size K > 1)
    A053726 ➡️ oeis.org/A053726

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/Flag_num
    3D graph Gen, threejs animation ➡️ decompwlj.com/3DgraphGen/Flag_
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

    #research #arithmetic #theorem #fundamental #sieve #graphs
  49. Rémi Eismann @[email protected] ·

    In the decomposition into weight × level + jump, the Twin Prime Conjecture becomes: "The number of prime numbers with a weight of 3 is infinite"

    #decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #numbers #TwinPrimes #twin #primes #conjecture #PrimeNumbers #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

    #research #arithmetic #theorem #fundamental #sieve #graphs
  50. Rémi Eismann @[email protected] ·

    In the decomposition into weight × level + jump, the Twin Prime Conjecture becomes: "The number of prime numbers with a weight of 3 is infinite"

    #decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #numbers #TwinPrimes #twin #primes #conjecture #PrimeNumbers #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

    #research #arithmetic #theorem #fundamental #sieve #graphs
  51. Rémi Eismann @[email protected] ·

    A053696: Numbers that can be represented as a string of three or more 1's in a base >= 2
    A053696 ➡️ oeis.org/A053696

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A053696.
    3D graph Gen, threejs animation ➡️ decompwlj.com/3DgraphGen/A0536
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

    #research #arithmetic #theorem #fundamental #sieve #graphs
  52. Rémi Eismann @[email protected] ·

    A053696: Numbers that can be represented as a string of three or more 1's in a base >= 2
    A053696 ➡️ oeis.org/A053696

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A053696.
    3D graph Gen, threejs animation ➡️ decompwlj.com/3DgraphGen/A0536
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

    #research #arithmetic #theorem #fundamental #sieve #graphs
  53. Rémi Eismann @[email protected] ·

    A053432: Numbers with digits in alphabetical order (in English)
    A053432 ➡️ oeis.org/A053432

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A053432.
    3D graph Gen, threejs animation ➡️ decompwlj.com/3DgraphGen/A0534
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

    #research #arithmetic #theorem #fundamental #sieve #graphs
  54. Rémi Eismann @[email protected] ·

    A053432: Numbers with digits in alphabetical order (in English)
    A053432 ➡️ oeis.org/A053432

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A053432.
    3D graph Gen, threejs animation ➡️ decompwlj.com/3DgraphGen/A0534
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

    #research #arithmetic #theorem #fundamental #sieve #graphs
  55. Rémi Eismann @[email protected] ·

    We see the fundamental theorem of arithmetic and the sieve of Eratosthenes in the decomposition into weight × level + jump of natural numbers. Applied to prime numbers this decomposition leads to a new classification of primes.

    #decompwlj #math #mathematics #maths #sequence #OEIS #graph #numbers #primes #PrimeNumbers #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieveOfEratosthenes #sieve #Eratosthenes #fundamental #theorem #arithmetic #research

    #research #arithmetic #theorem #fundamental #eratosthenes #sieve
  56. Rémi Eismann @[email protected] ·

    We see the fundamental theorem of arithmetic and the sieve of Eratosthenes in the decomposition into weight × level + jump of natural numbers. Applied to prime numbers this decomposition leads to a new classification of primes.

    #decompwlj #math #mathematics #maths #sequence #OEIS #graph #numbers #primes #PrimeNumbers #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieveOfEratosthenes #sieve #Eratosthenes #fundamental #theorem #arithmetic #research

    #research #arithmetic #theorem #fundamental #eratosthenes #sieve
  57. Rémi Eismann @[email protected] ·

    A053224: Numbers k for which sigma(k) < sigma(k+1)
    A053224 ➡️ oeis.org/A053224

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A053224.
    3D graph Gen, threejs animation ➡️ decompwlj.com/3DgraphGen/A0532
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

    #research #arithmetic #theorem #fundamental #sieve #graphs
  58. Rémi Eismann @[email protected] ·

    A053224: Numbers k for which sigma(k) < sigma(k+1)
    A053224 ➡️ oeis.org/A053224

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A053224.
    3D graph Gen, threejs animation ➡️ decompwlj.com/3DgraphGen/A0532
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

    #research #arithmetic #theorem #fundamental #sieve #graphs
  59. Rémi Eismann @[email protected] ·

    A052499: If n is in the sequence then so are 2n and 4n-1
    A052499 ➡️ oeis.org/A052499

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A052499.
    3D graph Gen, threejs animation ➡️ decompwlj.com/3DgraphGen/A0524
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

    #research #arithmetic #theorem #fundamental #sieve #graphs
  60. Rémi Eismann @[email protected] ·

    A052499: If n is in the sequence then so are 2n and 4n-1
    A052499 ➡️ oeis.org/A052499

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A052499.
    3D graph Gen, threejs animation ➡️ decompwlj.com/3DgraphGen/A0524
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

    #research #arithmetic #theorem #fundamental #sieve #graphs