Proth 2 8000-10000

Overview

Automatically generated table from available Proth primes 8000 < k < 10000.

Explanations

The colors used in the table are defined as:

 

 : k-value is reserved

 

 : k-value is not reserved

Primes table

There are 4 sequences:

k	Type	Date	max n	Nash	#	Primes for n
8139	3	2024-10-15 PrimeGrid Proth Prime Search Extended (MR25)	2,000,000	1062	29	7, 27, 43, 63, 79, 85, 133, 139, 207, 475, 679, 1393, 5289, 17115, 19719, 24381, 25954, 49659, 59047, 87613, 128085, 198655, 211563, 251295, 287745, 415467, 1165417, 1733467, 3447967
9347	Low	2024-10-15 PrimeGrid Proth Prime Search Extended (MR25)	2,000,000	989	16	15, 195, 351, 1135, 1223, 2591, 3163, 3583, 4435, 35599, 36695, 43051, 262879, 355087, 1645911, 3374055
9609	3	2024-10-15 PrimeGrid Proth Prime Search Extended (MR25)	2,000,000	2106	34	1, 3, 13, 49, 63, 79, 121, 139, 297, 613, 901, 1059, 1623, 1753, 1917, 2197, 3861, 5422, 8662, 9723, 12441, 26149, 47113, 49659, 50751, 59319, 80151, 173101, 196039, 198283, 397459, 439537, 1420651, 3367351
9777	3	2024-10-15 PrimeGrid Proth Prime Search Extended (MR25)	2,000,000	1485	22	22, 46, 240, 396, 478, 910, 1540, 2968, 7968, 18975, 25804, 30748, 52186, 164004, 175270, 231988, 296296, 676480, 1028487, 1061506, 1104087, 3462742

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