Primes congruent to 5 mod 11
Open in the 3-D viewerA141852 on the OEIS
| Terms | 100,000 (n = 1 … 100,000) |
|---|---|
| Decomposable (a > 2d) | 99,998 |
| Level class, k > L | 41,960 · 41.96 % |
| Weight class, k ≤ L | 58,038 · 58.04 % |
| Ties, k = L | 5 |
| On the level line L = 1 | 7,068 |
| Forced level, l ≤ d² | 191 |
| Range of a(n) | 5 … 15,484,771 |
| Range of the jump d | 22 … 1,430 |
| Largest weight k, level L | 15,484,243, 671,379 |
58 different gaps occur, from 22 to 1,430; the level share is 41.96 %.
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.