decompwlj 3D

Primes whose sum of digits is a multiple of 5

A062340 on the OEIS · family primes

Weight–level plate of Primes whose sum of digits is a multiple of 5
Click the plate to explore it in 3-D. Weight k across, level L up, both on log scales: blue in the weight class (k ≤ L), orange in the level class (k > L). The dashed diagonal is k = L.
Open in the 3-D viewerA062340 on the OEIS
Terms100,000 (n = 1 … 100,000)
Decomposable (a > 2d)99,997
Level class, k > L34,967 · 34.97 %
Weight class, k ≤ L65,030 · 65.03 %
Ties, k = L8
On the level line L = 17,188
Forced level, l ≤ d²87
Range of a(n)5 … 7,378,979
Range of the jump d2 … 764
Largest weight k, level L7,377,493, 2,366,999

250 different gaps occur, from 2 to 764; the level share is 34.97 %.

The decomposition

Every term of a strictly increasing sequence is written a(n) = k(n)·L(n) + d(n): the jump d = a(n+1) − a(n), the weight k the least divisor of a − d greater than d, the level L = (a − d)/k. A term decomposes when a > 2d; it is in the level class when k > L and in the weight class when k ≤ L. See decompwlj.com and arXiv:0711.0865, or how it works, with worked examples and a live one.