Proth primes of the form 869•2ⁿ+1

Current data

`k` , `b` :	869 , 2
Count :	38
Nash :	1804
Max `n` :	3,640,000
Date :	2023-10-21

5, 9^[1], 15, 25, 29, 31, 41, 45, 61, 183, 257, 265, 481, 583, 713, 841^[2], 933, 1095, 1143, 1709, 2383, 2559, 4397, 6233, 12013^[3], 31793, 39679, 53671, 59997, 67165, 73845, 338197, 487791, 1000725^[4], 1062609, 1364737, 1389895, 3030655

Notes

History

2023-10-21: Checked to n = 3640000, PrimeGrid Proth Mega Prime Search
2022-07-31: Checked to n = 3322000, PrimeGrid Proth Prime Search
2021-05-09: Found n = 3030655, Krzysztof Ostaszewski, PrimeGrid Proth Prime Search
2012-01-26: Found n = 1389895, Ross Goudie, PrimeGrid Proth Prime Search
2012-01-25: Found n = 1364737, Alexey Derkach, PrimeGrid Proth Prime Search
2011-09-23: Found n = 1062609, Fabrício Aguirre, PrimeGrid Proth Prime Search
2008-03-05: Found n = 338197, Steven Harvey
2005-04-06: Found n = 487791, Payam Samidoost
2005-02-08: Found n = 1000725, Payam Samidoost
1998-07-24: Found n = 31793, Tadashi Taura

[1] Is GF Divisor of xGF(7,11,8)

[2] Is GF Divisor of xGF(839,7,6)

[3] Is GF Divisor of xGF(12012,6,5) [+1]

[4] Is GF Divisor of xGF(1000721,11,8)

[1]

[2]

[3]

[4]

Proth primes of the form 869•2ⁿ+1

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Proth primes of the form 869•2n+1

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Proth primes of the form 869•2ⁿ+1