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] Williams 48•49²+1

[2] Williams 48•49⁴+1

[3] Williams 48•49⁹+1

[4] Williams 48•49¹¹+1

[5] Williams 48•49²⁶+1

[6] Williams 48•49⁶³+1

[7] Williams 48•49⁷⁵+1

[8] Williams 48•49¹³⁵+1

[9] Williams 48•49¹⁶⁴+1

[10] Williams 48•49⁴⁴⁹+1

[11] Williams 48•49⁶⁶²+1

[12] Williams 48•49¹³⁷⁶+1

[13] Williams 48•49¹⁶⁸³+1

[14] Williams 48•49⁶⁶⁴⁴+1

[15] Williams 48•49¹⁵¹²⁹+1

[16] Williams 48•49¹⁵²⁹¹+1

[17] Williams 48•49²¹⁷⁶¹+1

[18] Williams 48•49³⁵¹³⁸+1

[19] Williams 48•49⁴³¹⁹¹+1

[1]

[2]

[3]

[4]

[5]

[6]

[7]

[8]

[9]

[10]

[11]

[12]

[13]

[14]

[15]

[16]

[17]

[18]

[19]

Proth primes of the form 48•7ⁿ+1

Current data

Notes

History

Navigation menu

Personal tools

Namespaces

Variants

Views

More

Search

Navigation

Prime (direct)

Prime Wiki

Tools

Proth primes of the form 48•7n+1

Current data

Notes

History

Navigation menu

Search

Proth primes of the form 48•7ⁿ+1