One day, one decomposition
A212168: Numbers n such that the maximal exponent in its prime factorization is less than the number of positive exponents (A051903(n) < A001221(n))

3D graph, threejs - webGL https://decompwlj.com/3Dgraph/A212168.html
2D graph, first 500 terms https://decompwlj.com/2Dgraph500terms/A212168.html

One day, one decomposition
A212166: Numbers k such that the maximum exponent in its prime factorization equals the number of positive exponents (A051903(k) = A001221(k))

3D graph, threejs - webGL https://decompwlj.com/3Dgraph/A212166.html
2D graph, first 500 terms https://decompwlj.com/2Dgraph500terms/A212166.html

Math, Optimized: Sweden’s Maximal Multi-Divi - Back in the early 1900s, before calculators lived in our pockets, crunching number... - https://hackaday.com/2025/03/28/math-optimized-swedens-maximal-multi-divi/ #retrocomputing #multiplication #classichacks #calculation #multi-divi #numbers #sweden #book #divi

Arithmetica & Musica 16th Century Roman Greek Goddess⁣
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#16thCentury, #Arithmetic, #Goddess, #Gods, #Greek, #Inspiration, #MarinBonnemere, #Mathematics, #Music, #Musicians, #Numbers, #Roman⁣
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Vintage ◦ Classic ◦ Historical | Art ◦ Design ◦ Inspiration | Restored ◦ Enhanced ◦ Remixed⁣
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Prints, T-Shirts, Stickers, & More by @rocketshipretro via RedBubble → https://bigplanetprints.com/go/bCKnIV

One day, one decomposition
A212165: Numbers k such that the maximum exponent in its prime factorization is not less than the number of positive exponents (A051903(k) >= A001221(k))

3D graph, threejs - webGL https://decompwlj.com/3Dgraph/A212165.html
2D graph, first 500 terms https://decompwlj.com/2Dgraph500terms/A212165.html

The Algebra War

Back then, the letters a=1+2 and b=2+1

This was supposed to mean that a=b, which neither a nor b wanted to allow. This led to the first big war, which resulted in a lot of division and fractions.

After tedious additions, subtractions and other warlike measures, a diplomatic agreement was reached:

-All letters, for all their differences, are equal before the laws of algebra-

Today e and π and many others gain to be unique! Is Algebra War II coming?

One day, one decomposition
A212164: Numbers k such that the maximum exponent in its prime factorization is greater than the number of positive exponents (A051903(k) > A001221(k))

3D graph, threejs - webGL https://decompwlj.com/3Dgraph/A212164.html
2D graph, first 500 terms https://decompwlj.com/2Dgraph500terms/A212164.html

With a two-digit number and a two-letter name, 85 Io has the shortest designation of all minor planets. On the 85th day of 2025, 10 fun facts about the number 85.

https://topicaltens.blogspot.com/2025/03/26-march-85.html

#Numbers #85

One day, one decomposition
A211223: Numbers k for which sigma(k) = sigma(x) + sigma(y), where k = x + y

3D graph, threejs - webGL https://decompwlj.com/3Dgraph/A211223.html
2D graph, first 500 terms https://decompwlj.com/2Dgraph500terms/A211223.html

One day, one decomposition
A210479: Primes p with p-1 and p+1 both practical: "Sandwich of the first kind"

3D graph, threejs - webGL https://decompwlj.com/3Dgraph/A210479.html
2D graph, first 500 terms https://decompwlj.com/2Dgraph500terms/A210479.html

One day, one decomposition
A209203: Values of the difference d for 4 primes in geometric-arithmetic progression with the minimal sequence {5*5^j + j*d}, j = 0 to 3

3D graph, threejs - webGL https://decompwlj.com/3Dgraph/A209203.html
2D graph, first 500 terms https://decompwlj.com/2Dgraph500terms/A209203.html

One day, one decomposition
A209202: Values of the difference d for 3 primes in geometric-arithmetic progression with the minimal sequence {3*3^j + j*d}, j = 0 to 2

3D graph, threejs - webGL https://decompwlj.com/3Dgraph/A209202.html
2D graph, first 500 terms https://decompwlj.com/2Dgraph500terms/A209202.html

Yet another #Numberphile on stupidly big numbers:
https://www.youtube.com/watch?v=Jw_ZPdnHGzg
#maths #mathematics #numbers #Steinhaus #Moser #GrahamsNumber #Knuth
Part 2: https://www.youtube.com/watch?v=ADwK4BgwzP8

One day, one decomposition
A209061: Exponentially squarefree numbers

3D graph, threejs - webGL https://decompwlj.com/3Dgraph/Exponentially_squarefree_numbers.html
2D graph, first 500 terms https://decompwlj.com/2Dgraph500terms/Exponentially_squarefree_numbers.html

Pi design at https://www.goodwholesomefun.biz.

One day, one decomposition
A208178: Primes of the form 256*k + 1

3D graph, threejs - webGL https://decompwlj.com/3Dgraph/A208178.html
2D graph, first 500 terms https://decompwlj.com/2Dgraph500terms/A208178.html