A000788: Total number of 1's in binary expansions of 0, ..., n
A000788 ➡️ https://oeis.org/A000788

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A000788.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A000788.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A000788.html

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

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A000469: 1 together with products of 2 or more distinct primes
A000469 ➡️ https://oeis.org/A000469

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A000469.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A000469.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A000469.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #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

new video from Numberphile

Awkward Primes

https://www.youtube.com/watch?v=VFoIPlUalRY

#numbertheory #maths #numberphile

From #DEVONthink To Go’s update notice today:

"We’re naming this release after the mathematician Joseph-Louis #Lagrange (1736-1813) who made significant contributions to the fields of #analysis, #NumberTheory, and both classical and celestial #mechanics. Lagrange’s work has had a profound impact on our understanding of #celestial mechanics and has practical applications in #SpaceExploration."

That is exactly the kind of detail that makes me love this tool ❤️

@devontechnologies #PKM #DTTG

A000452: The greedy sequence of integers which avoids 3-term geometric progressions
A000452 ➡️ https://oeis.org/A000452

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A000452.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A000452.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A000452.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #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

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 #natural #numbers #primes #PrimeNumbers #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieveOfEratosthenes #Eratosthenes #sieve #fundamental #theorem #arithmetic #research

A000415: Numbers that are the sum of 2 but no fewer nonzero squares
A000415 ➡️ https://oeis.org/A000415

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A000415.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A000415.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A000415.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #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

believe it or not, it's true

https://en.wikipedia.org/wiki/Erdos_number

#mathematics #numbertheory #erdosnumber

A000408: Numbers that are the sum of three nonzero squares
A000408 ➡️ https://oeis.org/A000408

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A000408.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A000408.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A000408.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #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