Primes congruent to 17 mod 60
Open in the 3-D viewerA142788 on the OEIS
| Terms | 100,000 (n = 1 … 100,000) |
|---|---|
| Decomposable (a > 2d) | 99,998 |
| Level class, k > L | 52,805 · 52.81 % |
| Weight class, k ≤ L | 47,193 · 47.19 % |
| Ties, k = L | 0 |
| On the level line L = 1 | 21,386 |
| Forced level, l ≤ d² | 333 |
| Range of a(n) | 17 … 25,565,237 |
| Range of the jump d | 60 … 3,120 |
| Largest weight k, level L | 25,564,397, 418,577 |
36 different gaps occur, from 60 to 3,120; the level share is 52.81 %; L = 1 holds 40 % of the level class; there are no ties.
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.