Proth primes of the form k•2n+1 with missing ranges

Proth k-values with missing ranges below the largest known prime for that k.

Table

There are 43 sequences in this Wiki:

k	Date	max n	max prime	Nash	#
7	2022-07-21	9000000	20267500	2144	43
9	2024-07-25 PrimeGrid Proth Prime Search	5200000	13334487	2297	66
11	2023-01-08	9000000	15502315	1387	37
13	2023-10-11	9000000	16828072	920	28
15	2024-09-02	9000000	9830108	2873	65
25	2022-09-21	9000000	13719266	2198	46
27	2024-05-23	10000000	12184319	2142	49
37	2022-11-08	9000000	15474010	2532	57
41	2022-06-20	9000000	11676439	893	18
49	2022-09-11	9000000	9187790	1209	26
51	2024-07-25 PrimeGrid Proth Prime Search	5200000	6945567	3076	63
63	2024-07-25 PrimeGrid Proth Prime Search	5200000	8741225	3116	71
93	2024-07-25 PrimeGrid Proth Prime Search	5200000	8898285	3116	67
127	2024-07-25 PrimeGrid Proth Prime Search	5200000	5391378	1773	33
129	2024-07-25 PrimeGrid Proth Prime Search	5200000	5453363	2357	39
165	2024-07-25 PrimeGrid Proth Prime Search	5200000	5416628	5158	109
1323	2024-10-15 PrimeGrid Proth Prime Search Extended	2000000	2764024	3226	73
1461	2024-10-15 PrimeGrid Proth Prime Search Extended	2000000	3448423	1347	32
1479	2024-10-15 PrimeGrid Proth Prime Search Extended	2000000	3356275	3237	55
2187	2024-10-15 PrimeGrid Proth Prime Search Extended	2000000	2786802	2141	41
3207	2024-10-15 PrimeGrid Proth Prime Search Extended	2000000	3412108	2518	59
3267	2024-10-15 PrimeGrid Proth Prime Search Extended	2000000	2305266	2071	40
3777	2024-10-15 PrimeGrid Proth Prime Search Extended	2000000	3374072	3246	61
4665	2024-10-15 PrimeGrid Proth Prime Search Extended	2000000	3400922	2280	55
5307	2024-10-15 PrimeGrid Proth Prime Search Extended	2000000	3374939	3348	58
5505	2024-10-15 PrimeGrid Proth Prime Search Extended	2000000	3375777	3173	57
6219	2024-10-15 PrimeGrid Proth Prime Search Extended	2000000	3374198	1826	39
6395	2024-10-15 PrimeGrid Proth Prime Search Extended	2000000	3373135	2048	41
8139	2024-10-15 PrimeGrid Proth Prime Search Extended	2000000	3447967	1062	29
9347	2024-10-15 PrimeGrid Proth Prime Search Extended	2000000	3374055	989	16
9609	2024-10-15 PrimeGrid Proth Prime Search Extended	2000000	3367351	2106	34
9777	2024-10-15 PrimeGrid Proth Prime Search Extended	2000000	3462742	1485	22
10001	2018-04-05	1000000	2172615	1114	30
10003	2019-07-21	400000	1468292	2157	45
23451	2024-06-22	100000	3739388	1223	17
33505	2024-10-29 (Blue8thNote)	110000	174002	843	16
42717	2024-06-22	100000	905792	893	7
60357	2024-06-22	100000	1676907	2209	34
60849	2024-06-22	100000	3067914	1368	22
84363	2024-06-22	100000	2222321	1624	28
85287	2024-06-22	100000	1890011	1630	20
577294575	2023-04-10 (Alex_soldier)	50000	546677	6655	144
945561887392230553579269135	2024-04-22 (Alex_soldier)	600000	832899	8431	169

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