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 39 sequences in this Wiki:

k	Date	max n	max prime	Nash	#
7	2021-04-01	9000000	18233956	2144	42
9	2021-04-01	4000000	13334487	2297	66
11	2021-04-01	9000000	15502315	1387	37
27	2021-07-26 PrimeGrid 27121 Prime Search	8850000	12184319	2142	49
177	2021-08-15 PrimeGrid Proth Prime Search	3070000	3411847	3473	75
207	2021-08-15 PrimeGrid Proth Prime Search	3070000	3095391	3570	69
255	2021-08-15 PrimeGrid Proth Prime Search	3070000	3395661	2629	66
259	2021-08-15 PrimeGrid Proth Prime Search	3070000	3094582	431	7
297	2021-08-15 PrimeGrid Proth Prime Search	3070000	3087543	1682	34
345	2021-08-15 PrimeGrid Proth Prime Search	3070000	3532957	4308	89
373	2021-08-15 PrimeGrid Proth Prime Search	3070000	3404702	868	25
403	2021-08-15 PrimeGrid Proth Prime Search	3070000	3334410	2276	60
453	2021-08-15 PrimeGrid Proth Prime Search	3070000	3461688	2586	54
513	2021-08-15 PrimeGrid Proth Prime Search	3070000	3092705	2665	62
553	2021-08-15 PrimeGrid Proth Prime Search	3070000	3532758	3105	79
555	2021-08-15 PrimeGrid Proth Prime Search	3070000	3563328	4497	101
639	2021-08-15 PrimeGrid Proth Prime Search	3070000	3635707	3560	85
643	2021-08-15 PrimeGrid Proth Prime Search	3070000	3501974	1556	34
677	2021-08-15 PrimeGrid Proth Prime Search	3070000	3369115	759	13
699	2021-08-15 PrimeGrid Proth Prime Search	3070000	3487253	1894	48
745	2021-08-15 PrimeGrid Proth Prime Search	3070000	3087428	1430	31
791	2021-08-15 PrimeGrid Proth Prime Search	3070000	3323995	1586	37
933	2021-08-15 PrimeGrid Proth Prime Search	3070000	3091825	3148	74
1065	2021-08-15 PrimeGrid Proth Prime Search	3070000	3447906	4065	79
1139	2021-08-15 PrimeGrid Proth Prime Search	3070000	3079783	682	12
1149	2021-08-15 PrimeGrid Proth Prime Search	3070000	3481694	2261	38
1461	2021-08-09 PrimeGrid Proth Prime Search Extended	1640000	3373383	1347	31
1601	2021-08-09 PrimeGrid Proth Prime Search Extended	1640000	1644421	1503	35
3207	2021-08-09 PrimeGrid Proth Prime Search Extended	1640000	3375314	2518	57
3777	2021-08-09 PrimeGrid Proth Prime Search Extended	1640000	3374072	3246	61
3943	2021-08-09 PrimeGrid Proth Prime Search Extended	1640000	1642638	1934	45
4665	2021-08-09 PrimeGrid Proth Prime Search Extended	1640000	1642514	2280	54
5307	2021-08-09 PrimeGrid Proth Prime Search Extended	1640000	3374939	3348	58
5505	2021-08-09 PrimeGrid Proth Prime Search Extended	1640000	3375777	3173	55
6219	2021-08-09 PrimeGrid Proth Prime Search Extended	1640000	3374198	1826	39
6395	2021-08-09 PrimeGrid Proth Prime Search Extended	1640000	3373135	2048	40
9347	2021-08-09 PrimeGrid Proth Prime Search Extended	1640000	3374055	989	15
32247	2022-11-05 CRUS Liskovets-Gallot	100000 (9000000)	75780	1736	23
53133	2022-11-05 CRUS Liskovets-Gallot	50000 (9000000)	42542	1475	18

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