Primes congruent to 12 mod 29
Open in the 3-D viewerA141988 on the OEIS
| Terms | 100,000 (n = 1 … 100,000) |
|---|---|
| Decomposable (a > 2d) | 99,997 |
| Level class, k > L | 47,732 · 47.73 % |
| Weight class, k ≤ L | 52,265 · 52.27 % |
| Ties, k = L | 0 |
| On the level line L = 1 | 6,219 |
| Forced level, l ≤ d² | 689 |
| Range of a(n) | 41 … 46,453,633 |
| Range of the jump d | 58 … 4,292 |
| Largest weight k, level L | 46,435,073, 787,275 |
65 different gaps occur, from 58 to 4,292; the level share is 47.73 %; 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.