Proth primes of the form 8•3ⁿ+1

Current data

`k` , `b` :	8 , 3
Count :	23
Nash :	2226
Max `n` :	1,250,000
Date :	2020-08-08

2^[1], 7^[2], 8^[3], 10^[4], 22^[5], 52^[6], 58^[7], 76^[8], 130^[9], 143, 331, 332^[10], 980^[11], 1282^[12], 1655, 4031, 4600^[13], 18880^[14], 89482^[15], 130592^[16], 323860^[17], 872171, 1172480^[18]

Remarks :

The sequence A005538 in OEIS
For additional even n history, see Williams 8•9ⁿ+1

Notes

History

2020-08-08: Checked n = 1200000 - 1250000, Paul Vanderveen
2020-07-08: Checked n = 850000 - 1200000, Paul Vanderveen
2020-06-12: Found n = 872171, Paul Vanderveen
2020-06-08: Checked n = 800000 - 850000, Paul Vanderveen
2020-05-29: Checked n = 700000 - 800000, Paul Vanderveen
2020-05-25: Checked n = 1 - 50000, Karsten Bonath
2020-05-17: Found n = 1172480, Paul Vanderveen
2020-05-02: Checked n = 500000 - 700000, Paul Vanderveen
2020-03-01: Checked n = 350000 - 500000, Paul Vanderveen
2020-02-17: Checked n = 200000 - 350000, Paul Vanderveen
2014-03-16: Checked n = 20000 - 200000, Robert Price
2004-09-21: Found n = 130592, Peter Benson
1999-12-11?: Checked to n = 20000?, Douglas Burke
1998-11-08: Found n = 18880, Chris Caldwell

[1] Twin n=2, Williams 8•9¹+1

[2] Near Cullen 8•3⁷+1

[3] Cullen 8•3⁸+1, Williams 8•9⁴+1

[4] Twin n=10, Williams 8•9⁵+1

[5] Williams 8•9¹¹+1

[6] Williams 8•9²⁶+1

[7] Williams 8•9²⁹+1

[8] Williams 8•9³⁸+1

[9] Williams 8•9⁶⁵+1

[10] Williams 8•9¹⁶⁶+1

[11] Williams 8•9⁴⁹⁰+1

[12] Williams 8•9⁶⁴¹+1

[13] Williams 8•9²³⁰⁰+1

[14] Williams 8•9⁹⁴⁴⁰+1

[15] Williams 8•9⁴⁴⁷⁴¹+1

[16] Williams 8•9⁶⁵²⁹⁶+1

[17] Williams 8•9¹⁶¹⁹³⁰+1

[18] Williams 8•9⁵⁸⁶²⁴⁰+1

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Proth primes of the form 8•3ⁿ+1

Current data

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Proth primes of the form 8•3n+1

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History

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Proth primes of the form 8•3ⁿ+1