Primes congruent to 8 mod 47
Open in the 3-D viewerA142359 on the OEIS
| Terms | 100,000 (n = 1 … 100,000) |
|---|---|
| Decomposable (a > 2d) | 99,998 |
| Level class, k > L | 50,829 · 50.83 % |
| Weight class, k ≤ L | 49,169 · 49.17 % |
| Ties, k = L | 6 |
| On the level line L = 1 | 6,088 |
| Forced level, l ≤ d² | 1,236 |
| Range of a(n) | 149 … 78,803,639 |
| Range of the jump d | 94 … 6,862 |
| Largest weight k, level L | 78,798,469, 822,555 |
65 different gaps occur, from 94 to 6,862; the level share is 50.83 %; 1.2 % of terms are forced level (l <= d^2).
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.