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Proth primes of the form 15•2n+1
Current data
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Remarks : |
The sequence A002258 in OEIS See also Williams 15•16n+1 |
Notes
- ↑ Twin n=1
- ↑ Twin n=2
- ↑ Is GF Divisor of xGF(3,11,2), Twin n=4, Williams 15•161+1
- ↑ Is GF Divisor of xGF(7,5,3) [+3]
- ↑ Is GF Divisor of xGF(9,7,6) [+3], Twin n=10
- ↑ Is GF Divisor of xGF(11,11,4), Williams 15•163+1
- ↑ Is GF Divisor of xGF(25,9,2) [+2]
- ↑ Is GF Divisor of xGF(36,7,5) [+3]
- ↑ Is GF Divisor of xGF(37,10,7)
- ↑ Is GF Divisor of xGF(43,7,3) [+3], Williams 15•1611+1
- ↑ Is GF Divisor of GF(45,8), Williams 15•1612+1
- ↑ Is GF Divisor of xGF(76,7,5)
- ↑ Is GF Divisor of xGF(110,5,2) [+2], Williams 15•1628+1
- ↑ Is GF Divisor of xGF(165,7,2) [+3], Williams 15•1642+1
- ↑ Is GF Divisor of F(226) [+5]
- ↑ Is GF Divisor of xGF(294,7,4) [+1]
- ↑ Is GF Divisor of xGF(337,7,3) [+2]
- ↑ Is GF Divisor of xGF(514,10,9) [+3]
- ↑ Is GF Divisor of xGF(519,9,5) [+1]
- ↑ Is GF Divisor of xGF(650,9,5)
- ↑ Is GF Divisor of GF(896,3) [+3], Williams 15•16225+1
- ↑ Is GF Divisor of GF(1513,5) [+3]
- ↑ Is GF Divisor of xGF(2804,5,2), Williams 15•16702+1
- ↑ Is GF Divisor of GF(2872,12)
- ↑ Is GF Divisor of xGF(3125,3,2) [+4], Williams 15•16782+1
- ↑ Is GF Divisor of xGF(3886,7,5) [+1], Williams 15•16972+1
- ↑ Is GF Divisor of xGF(4406,9,8) [+1]
- ↑ Is GF Divisor of GF(6801,6), Williams 15•161701+1
- ↑ Is GF Divisor of xGF(7048,4,3) [+2]
- ↑ Is GF Divisor of xGF(7391,11,10), Williams 15•161848+1
- ↑ Is GF Divisor of xGF(19218,9,7) [+3]
- ↑ Is GF Divisor of xGF(21443,10,9) [+1]
- ↑ Is GF Divisor of xGF(21546,11,8)
- ↑ Is GF Divisor of xGF(24103,10,9) [+1]
- ↑ Is GF Divisor of GF(24990,3)
- ↑ Is GF Divisor of xGF(34221,5,3) [+6], Williams 15•168556+1
- ↑ Is GF Divisor of xGF(34255,9,5) [+1], Williams 15•168565+1
- ↑ Is GF Divisor of GF(43379,6) [+9], Williams 15•1610847+1
- ↑ Is GF Divisor of xGF(48443,11,8), Williams 15•1612111+1
- ↑ Is GF Divisor of xGF(61755,9,2) [+1]
- ↑ Is GF Divisor of xGF(184288,5,4) [+5]
- ↑ Is GF Divisor of xGF(294893,11,9)
- ↑ Is GF Divisor of xGF(300485,4,3) [+6], Williams 15•1675122+1
- ↑ Is GF Divisor of xGF(403927,4,3) [+5]
- ↑ Is GF Divisor of xGF(483094,6,5) [+3]
- ↑ Is GF Divisor of xGF(635988,7,2) [+2]
- ↑ Is GF Divisor of xGF(701895,6,5) [+2]
- ↑ Is GF Divisor of xGF(734398,9,5) [+1], Williams 15•16183600+1
- ↑ Is GF Divisor of xGF(1229599,7,5) [+2], Williams 15•16307400+1
- ↑ Is GF Divisor of xGF(1244376,7,4) [+2]
- ↑ Is GF Divisor of GF(1276174,3) [+8]
- ↑ Is GF Divisor of xGF(1368426,8,5) [+3], Williams 15•16342107+1
- ↑ Is GF Divisor of xGF(1418603,4,3) [+11]
- ↑ Is GF Divisor of xGF(1597505,5,3) [+1]
- ↑ Is GF Divisor of xGF(1667743,8,7) [+1], Williams 15•16416936+1
- ↑ Is GF Divisor of xGF(2393362,5,4) [+3]
- ↑ Is GF Divisor of xGF(2785939,7,4) [+2], Williams 15•16696485+1
- ↑ Is GF Divisor of GF(2988832,8) [+1]
- ↑ Is GF Divisor of xGF(3162658,10,7) [+2]
- ↑ Is GF Divisor of GF(4246381,6) [+4], Williams 15•161061596+1
- ↑ Is GF Divisor of GF(4800313,3) [+5]
- ↑ Is GF Divisor of xGF(7300253,11,8)
- ↑ Is GF Divisor of xGF(7619837,11,6) [+1]
- ↑ Is GF Divisor of xGF(9312887,3,2) [+1]
- ↑ Is GF Divisor of xGF(9830107,7,6) [+1], Williams 15•162457527+1
History
- 2024-09-02: Checked n = 8 - 400000 only n ≡ 0 mod 4, Mark Rodenkirch, double-check, released
- 2024-08-22: Reserved by Mark Rodenkirch for n = 8 - 400000 only n ≡ 0 mod 4, double-check
- 2023-08-19: Found n = 9830108, Ryan Propper
- 2023-08-07: Found n = 9312889, Ryan Propper
- 2021-04-01: Checked to n = 9000000, PrimeGrid Fermat Divisor Search
- 2020-12-24: Found n = 7619838, (Anonymous), PrimeGrid Fermat Divisor Search (Official announcement)
- 2020-10-25: Found n = 7300254, Robert Gelhar, PrimeGrid Fermat Divisor Search (Official announcement)
- 2019-10-16: Found n = 4800315, Ricky L. Hubbard, PrimeGrid Fermat Divisor Search
- 2019-07: Checked n = 3322000 - 3640000, PrimeGrid Proth Mega Prime Search
- 2013-05-18: Found n = 4246384, Serge Batalov
- 2012-12-30: Found n = 3162659, Serge Batalov
- 2012-12-15: Found n = 2988834, Serge Batalov
- 2012-11-25: Found n = 2785940, Serge Batalov
- 2010-04-14: Found n = 2393365, Darren Wallace, PrimeGrid Proth Prime Search
- 2007-04-16: Found n = 1667744, Curtis Cooper
- 2006-08-19: Found n = 1597510, Curtis Cooper
- 2006-04-20: Found n = 1418605, Curtis Cooper
- 2006-03-15: Found n = 1229600, Curtis Cooper
- 2006-02-15: Found n = 1276177, Curtis Cooper
- 2006-02-09: Found n = 1368428, Curtis Cooper
- 2006-01-31: Found n = 1244377, Curtis Cooper
- 2004-10-25: Found n = 734400, Payam Samidoost
- 2004-10-18: Found n = 635989, Payam Samidoost
- 2004-10-05: Found n = 701902, Payam Samidoost
- 2004-02-09: Found n = 483098, Payam Samidoost
- 2003-10-06: Found n = 294894, Payam Samidoost
- 2002-10: Found n = 403929, Payam Samidoost
- 2002-02-12: Found n = 300488, Payam Samidoost
- 1998-10-01: Found n = 184290, Jeffrey Young
- 1995-08: Found n = 61758, Jeffrey Young
- 1995-08: Found n = 48444, Jeffrey Young
- 1995-08: Found n = 43388, Jeffrey Young
- 1993-10-01: Found n = 34260, Harvey Dubner
- 1993: Found n = 34224, Harvey Dubner
- 1993-10-01: Found n = 24995, Harvey Dubner
- 1993-10-01: Found n = 24105, Harvey Dubner
- 1993-03: Found n = 21550, Harvey Dubner
- 1992-12-01: Found n = 21445, Harvey Dubner
- 1992-12-01: Found n = 19219, Harvey Dubner
- 1983: Found n = 7392, Wilfrid Keller
- 1983: Found n = 7050, Wilfrid Keller
- 1983: Found n = 6804, Wilfrid Keller
- 1983: Found n = 4410, Wilfrid Keller
- 1979: Checked n = 1500 - 4000, Gordon V. Cormack, Hugh C. Williams, missed n=1518
- 1979: Found n = 3888, Gordon V. Cormack, Hugh C. Williams
- 1979: Found n = 3128, Gordon V. Cormack, Hugh C. Williams
- 1979: Found n = 2875, Gordon V. Cormack, Hugh C. Williams
- 1979: Found n = 2808, Gordon V. Cormack, Hugh C. Williams