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 21 sequences in this Wiki:

k	Index	Count	Nash	Max n
15	1	65	2873	9000000
45	2	57	2581	9000000
165	6	109	5158	5200000
255	9	67	2629	5200000
345	12	92	4308	5000000
435	15	95	4603	4500000
555	19	102	4497	4500000
615	21	64	2908	4000000
765	26	87	4734	3640000
915	31	54	2802	3640000
1065	36	80	4065	3640000
1575	53	72	4003	2000000
3375	113	48	2702	3486000
4665	156	55	2280	2000000
5505	184	57	3173	2000000
15735	525	35	2954	50000
48495	1617	51	3088	1200000
67275	2243	25	3481	1000
2441205	81374	106	6132	500000
314159265	10471976	57	466	314159
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

Sierpiński numbers Missing ranges Low weight Count 0

Other bases

3 4 5 6 7 11 999