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 4 sequences in this Wiki:

k	Count	100th n	Nash	Max n
555	101	3502765	4497	3070000
2441205	106	321116	6132	500000
30562993973479965532402725	180	6560	7833	340000
32268186233370440249391495	177	5990	7953	340000

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

Low weight