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Proth primes of the form 9•2n+1
Current data
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Remarks : |
The sequence A002256 in OEIS For all even n-values 9•2n+1 is a Generalized Fermat number. |
Notes
- ↑ Twin n=1
- ↑ Is GF Divisor of xGF(1,11,8)
- ↑ Is GF Divisor of xGF(2,7,3) [+3], Twin n=3
- ↑ Is GF Divisor of xGF(5,6,5) [+4]
- ↑ Is GF Divisor of xGF(5,3,2) [+5], Twin n=7
- ↑ Is GF Divisor of xGF(10,5,4) [+1]
- ↑ Is GF Divisor of xGF(10,4,3) [+6]
- ↑ Is GF Divisor of xGF(11,5,4) [+3]
- ↑ Is GF Divisor of GF(29,3) [+5]
- ↑ Is GF Divisor of xGF(41,5,4) [+6]
- ↑ Is GF Divisor of xGF(38,3,2) [+6], Twin n=43
- ↑ Is GF Divisor of GF(61,3) [+10], Twin n=63
- ↑ Is GF Divisor of GF(63,6) [+2]
- ↑ Is GF Divisor of F(63) [+19]
- ↑ Is GF Divisor of GF(79,3) [+9]
- ↑ Is GF Divisor of xGF(132,8,7) [+2]
- ↑ Is GF Divisor of GF(158,3) [+7]
- ↑ Is GF Divisor of GF(205,5) [+5]
- ↑ Is GF Divisor of xGF(210,5,4) [+3], Twin n=211
- ↑ Is GF Divisor of xGF(365,7,4) [+4]
- ↑ Is GF Divisor of xGF(662,5,3) [+3]
- ↑ Is GF Divisor of xGF(781,6,5) [+4]
- ↑ Is GF Divisor of GF(1303,3) [+2]
- ↑ Is GF Divisor of xGF(1409,3,2) [+1]
- ↑ Is GF Divisor of GF(1488,3) [+1]
- ↑ Is GF Divisor of GF(2294,6) [+3]
- ↑ Is GF Divisor of GF(2822,3) [+7]
- ↑ Is GF Divisor of xGF(3229,7,5) [+4]
- ↑ Is GF Divisor of GF(3353,7) [+4]
- ↑ Is GF Divisor of xGF(3408,5,3) [+5]
- ↑ Is GF Divisor of GF(3684,3) [+5]
- ↑ Is GF Divisor of GF(4838,3) [+7]
- ↑ Is GF Divisor of xGF(5801,8,7) [+6]
- ↑ Is GF Divisor of xGF(6935,3,2) [+3]
- ↑ Is GF Divisor of xGF(7966,5,3) [+4]
- ↑ Is GF Divisor of F(9428) [+8]
- ↑ Is GF Divisor of xGF(13900,3,2) [+5]
- ↑ Is GF Divisor of xGF(22602,5,3) [+2]
- ↑ Is GF Divisor of xGF(24417,4,3) [+5]
- ↑ Is GF Divisor of GF(39177,3) [+4]
- ↑ Is GF Divisor of xGF(43960,3,2) [+1]
- ↑ Is GF Divisor of xGF(47001,4,3) [+6]
- ↑ Is GF Divisor of xGF(49901,5,3) [+4]
- ↑ Is GF Divisor of xGF(67941,4,3) [+5]
- ↑ Is GF Divisor of xGF(114850,4,3) [+4]
- ↑ Is GF Divisor of xGF(127002,5,3) [+3]
- ↑ Is GF Divisor of xGF(145245,4,3) [+7]
- ↑ Is GF Divisor of xGF(147069,5,2) [+4]
- ↑ Is GF Divisor of xGF(149142,5,2) [+2]
- ↑ Is GF Divisor of xGF(304604,4,3) [+3]
- ↑ Is GF Divisor of xGF(384989,5,3) [+2]
- ↑ Is GF Divisor of xGF(412030,4,3) [+9]
- ↑ Is GF Divisor of xGF(435741,7,6) [+4]
- ↑ Is GF Divisor of F(461076) [+16]
- ↑ Is GF Divisor of xGF(834809,5,4) [+4]
- ↑ Is GF Divisor of xGF(1051025,8,7) [+4]
- ↑ Is GF Divisor of xGF(1807570,4,3) [+2]
- ↑ Is GF Divisor of F(2543548) [+16]
- ↑ Is GF Divisor of GF(3497441,7) [+5]
- ↑ Is GF Divisor of xGF(5642511,5,3) [+3]
- ↑ Is GF Divisor of xGF(9778262,6,5) [+4]
- ↑ Is GF Divisor of xGF(11158961,3,2) [+5]
- ↑ Is GF Divisor of xGF(11366285,7,4) [+6]
- ↑ Is GF Divisor of xGF(11500842,5,3) [+4]
- ↑ Is GF Divisor of GF(12406885,3) [+3]
- ↑ Is GF Divisor of GF(13334485,3) [+6]
History
- 2024-04-30: Checked to n = 5000000, PrimeGrid Proth Prime Search
- 2021-04-01: Checked n = 4000000 - 9000000, PrimeGrid Fermat Divisor Search, odd n-values only
- 2020-08-06: Found n = 9778263, Ryan Propper
- 2020-03-31: Found n = 13334487, Ryan Propper
- 2020-03-29: Found n = 12406887, Ryan Propper
- 2020-03-26: Found n = 11366286, Ryan Propper
- 2020-03-13: Found n = 11500843, Ryan Propper
- 2020-03-13: Found n = 11158963, Ryan Propper
- 2019-07: Checked n = 3322000 - 3640000, PrimeGrid Proth Mega Prime Search
- 2013-11-29: Found n = 5642513, Serge Batalov
- ?: Checked to n = 4000000, PrimeGrid Proth Prime Search
- 2012-10-24: Found n = 3497442, Heinz Ming, PrimeGrid Proth Mega Prime Search (Official announcement)
- 2011-06-22: Found n = 2543551, James Scott Brown, PrimeGrid Proth Prime Search (Official announcement)
- 2011-06-22: Found n = 1807574, Reuben Gathright, PrimeGrid Proth Prime Search
- 2004-12-14: Found n = 1051026, Souichi Murata, Satoshi Noda, Takahiro Nohara
- 2004-09-22: Found n = 834810, Senji Yamashita, Satoshi Noda, Takahiro Nohara
- 2003-08-05: Found n = 461081, Takahiro Nohara
- 2003-07-09: Found n = 435743, Takahiro Nohara
- 2003-05-19: Found n = 412034, Takahiro Nohara
- 2002-02-26: Found n = 384990, Takahiro Nohara
- 1998-07-04: Found n = 304607, Ray Ballinger
- 1995-08: Found n = 149143, Jeffrey Young
- 1995-08: Found n = 147073, Jeffrey Young
- 1995-08: Found n = 145247, Jeffrey Young
- 1995-08: Found n = 127003, Jeffrey Young
- 1995-08: Found n = 114854, Jeffrey Young
- 1995-08: Found n = 67943, Jeffrey Young
- 1994-07-01: Found n = 43963, Jeffrey Young
- 1993-10-01: Found n = 49902, Jeffrey Young
- 1993-10-01: Found n = 47003, Jeffrey Young
- 1992-12: Found n = 39186, Harvey Dubner
- 1992-10: Found n = 24422, Harvey Dubner
- 1992: Found n = 22603, Harvey Dubner
- 1991: Found n = 13903, Wilfrid Keller
- 1983: Found n = 9431, Wilfrid Keller
- 1983: Found n = 6937, Wilfrid Keller
- 1983: Found n = 4842, Wilfrid Keller
- 1979: Found n = 7967, A. Oliver L. Atkin, Neil W. Rickert
- 1979: Found n = 5802, A. Oliver L. Atkin, Neil W. Rickert
- 1979: Checked n = 1500 - 4000, Gordon V. Cormack, Hugh C. Williams
- 1979: Found n = 3690, Gordon V. Cormack, Hugh C. Williams
- 1979: Found n = 3417, Gordon V. Cormack, Hugh C. Williams
- 1978: Found n = 3354, Gordon V. Cormack, Hugh C. Williams
- 1978: Found n = 3230, Gordon V. Cormack, Hugh C. Williams
- 1978: Found n = 2826, Gordon V. Cormack, Hugh C. Williams
- 1978: Found n = 2297, Gordon V. Cormack, Hugh C. Williams