Primes congruent to 9 mod 20
Open in the 3-D viewerA141883 on the OEIS
| Terms | 100,000 (n = 1 … 100,000) |
|---|---|
| Decomposable (a > 2d) | 99,998 |
| Level class, k > L | 42,042 · 42.04 % |
| Weight class, k ≤ L | 57,956 · 57.96 % |
| Ties, k = L | 46 |
| On the level line L = 1 | 9,576 |
| Forced level, l ≤ d² | 155 |
| Range of a(n) | 29 … 12,208,069 |
| Range of the jump d | 20 … 1,340 |
| Largest weight k, level L | 12,207,269, 581,229 |
50 different gaps occur, from 20 to 1,340; the level share is 42.04 %.
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.