Proth numbers of the form k•2n+1 with 100 and more primes

Proth numbers k•2ⁿ+1 with 100 or more prime values n.

Table

There are 7 sequences in this Wiki:

k	Count	100th n	Nash	Max n
165	109	1703392	5158	5200000
555	102	3502765	4497	4500000
2441205	106	321116	6132	500000
577294575	144	13398	6655	50000
30562993973479965532402725	180	6560	7833	340000
32268186233370440249391495	177	5990	7953	340000
945561887392230553579269135	169	6356	8431	600000

Proth primes

Miscellaneous

Proth prime Sierpiński problem Least n (k≤12)

Tables

1-300 300-2000 2000-4000 4000-6000 6000-8000 8000-10000 104-105 105-106 106-107 107-108 108-109 109-1010 1010-∞

Categories

1-300 300-2000 2000-4000 4000-6000 6000-8000 8000-10000 104-105 105-106 106-107 107-108 108-109 109-1010 1010-∞

Others

3k 15k 2145k 2805k 0 primes 100+ primes Sierpiński numbers Missing ranges

Other categories

Sierpiński numbers Missing ranges Low weight Count 0

Other bases

3 4 5 6 7 11 999