Proth numbers of the form k•2n+1 with k mod 3 = 0

Proth numbers k•2ⁿ+1 where k-value is a multiple of 3.

The column "Index" contains the index of the k-value: [math]\displaystyle{ Index\ =\ {k\ +\ 3 \over 6} }[/math]

Table

There are 23 sequences in this Wiki:

k	Index	Count	Nash	Max n
3	1	50	2132	16270000
9	2	66	2297	9000000
15	3	58	2873	9000000
33	6	40	1960	9000000
63	11	67	3116	1200000
129	22	37	2357	3328805
255	43	60	2629	1020000
513	86	59	2665	940000
1023	171	78	3931	920000
9267	1545	10	498	200000
15735	2623	35	2954	50000
19683	3281	32	1802	4000000
32247	5375	23	1736	100000
48495	8083	21	3088	1000
53133	8856	18	1475	6650000
66741	11124	9	811	50000
67275	11213	25	3481	1000
95283	15881	27	1489	50000
2441205	406868	96	6132	1
84966861	14161144	30	2140	150000
2003663613	333943936	39	2762	195000
1527888802614951	254648133769159	28	2929	10000
32268186233370440249391495	-3.6641581263172E+17	177	7953	340000

Proth primes
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Miscellaneous

Proth prime 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 Missing ranges

Other categories

Low weight Constant n