Proth primes of the form 48•7ⁿ+1

Current data

`k` , `b` :	48 , 7
Type :	3
Count :	23
Nash :	3005
Max `n` :	100,000
Date :	2020-07-24

1, 4^[1], 5, 8^[2], 17, 18^[3], 22^[4], 52^[5], 117, 126^[6], 150^[7], 270^[8], 328^[9], 898^[10], 1324^[11], 2752^[12], 3366^[13], 13288^[14], 30258^[15], 30582^[16], 43522^[17], 70276^[18], 86382^[19]

Remarks :

For additional even n history, see Williams 48•49ⁿ+1.

Notes

History

2020-07-24: Checked n = 1 - 100000, Karsten Bonath, double-check n = 1 - 20000 only even n
2005-04-21: Found n = 86382, Peter Benson
2004-08-05: Found n = 70276, Peter Benson

[1] Jump up ↑ Williams 48•49²+1

[2] Jump up ↑ Williams 48•49⁴+1

[3] Jump up ↑ Williams 48•49⁹+1

[4] Jump up ↑ Williams 48•49¹¹+1

[5] Jump up ↑ Williams 48•49²⁶+1

[6] Jump up ↑ Williams 48•49⁶³+1

[7] Jump up ↑ Williams 48•49⁷⁵+1

[8] Jump up ↑ Williams 48•49¹³⁵+1

[9] Jump up ↑ Williams 48•49¹⁶⁴+1

[10] Jump up ↑ Williams 48•49⁴⁴⁹+1

[11] Jump up ↑ Williams 48•49⁶⁶²+1

[12] Jump up ↑ Williams 48•49¹³⁷⁶+1

[13] Jump up ↑ Williams 48•49¹⁶⁸³+1

[14] Jump up ↑ Williams 48•49⁶⁶⁴⁴+1

[15] Jump up ↑ Williams 48•49¹⁵¹²⁹+1

[16] Jump up ↑ Williams 48•49¹⁵²⁹¹+1

[17] Jump up ↑ Williams 48•49²¹⁷⁶¹+1

[18] Jump up ↑ Williams 48•49³⁵¹³⁸+1

[19] Jump up ↑ Williams 48•49⁴³¹⁹¹+1

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Proth primes of the form 48•7ⁿ+1

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Proth primes of the form 48•7n+1

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Proth primes of the form 48•7ⁿ+1