Proth primes of the form 35•6ⁿ+1

Current data

`k` , `b` :	35 , 6
Count :	31
Nash :	4196
Max `n` :	100,000
Date :	2020-11-15

1, 3^[1], 4^[2], 13, 18^[3], 19, 22^[4], 23, 25, 42^[5], 63, 65, 100^[6], 113, 171, 192^[7], 195, 274^[8], 420^[9], 443, 690^[10], 2564^[11], 3617, 5193, 9841, 14185, 23183, 23613, 24845, 51707, 95875

Remarks :

For additional even n history, see Williams 35•36ⁿ+1.

Notes

History

2020-11-15: Checked n = 1 - 100000, Karsten Bonath, double-check n = 1 - 20000 only even n
2005-06-09: Found n = 95875, Peter Benson

[1] Twin n=3

[2] Williams 35•36²+1

[3] Twin n=18, Williams 35•36⁹+1

[4] Twin n=22, Williams 35•36¹¹+1

[5] Williams 35•36²¹+1

[6] Williams 35•36⁵⁰+1

[7] Williams 35•36⁹⁶+1

[8] Williams 35•36¹³⁷+1

[9] Williams 35•36²¹⁰+1

[10] Williams 35•36³⁴⁵+1

[11] Williams 35•36¹²⁸²+1

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[2]

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[6]

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Proth primes of the form 35•6ⁿ+1

Current data

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Proth primes of the form 35•6n+1

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Proth primes of the form 35•6ⁿ+1