Proth numbers of the form k•2n+1 with k mod 15 = 0

Proth numbers k•2ⁿ+1 where k-value is a multiple of 15.

The column "Index" contains the index of the k-value: [math]\displaystyle{ Index\ =\ {k\ +\ 15 \over 30} }[/math]

Table

There are 17 sequences in this Wiki:

k	Index	Count	Nash	Max n
15	1	63	2873	9000000
45	2	57	2581	9000000
255	9	66	2629	3977000
345	12	89	4308	3977000
435	15	93	4603	3977000
555	19	101	4497	3977000
615	21	62	2908	3977000
765	26	87	4734	3977000
915	31	53	2802	3977000
1065	36	79	4065	3977000
4665	156	54	2280	1640000
5505	184	55	3173	1640000
15735	525	35	2954	50000
48495	1617	40	3088	100000
67275	2243	25	3481	1000
2441205	81374	106	6132	500000
577294575	19243153	144	6655	50000

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