Proth primes of the form 10•3ⁿ+1

Current data

`k` , `b` :	10 , 3
Count :	33
Nash :	2171
Max `n` :	200,000
Date :	2020-09-13

1^[1], 3^[2], 4^[3], 7, 9, 12^[4], 18^[5], 22^[6], 102^[7], 112^[8], 157, 162^[9], 289, 619, 763, 1389, 1783, 1882^[10], 3294^[11], 3567, 13297, 14932^[12], 18954^[13], 19612^[14], 23598^[15], 33882^[16], 66874^[17], 70546^[18], 86568^[19], 187626^[20], 190738^[21], 1153674^[22], 3550446^[23]

Remarks :

The sequence A005539 in OEIS
For additional even n history, see Williams 10•9ⁿ+1

Notes

History

2020-09-13: Found n = 3550446, Ryan Propper
2020-09-11: Found n = 1153674, Ryan Propper
2014-03-16: Checked n = 6810 - 200000, Robert Price
2000-09-07: Checked n = 1 - 6810, Robert G. Wilson
1999-04-16: Found n = 19612, Wilfrid Keller
1999-04-16: Found n = 18954, Wilfrid Keller
1998-10-30: Found n = 13297, Wilfrid Keller

[1] Twin n=1

[2] Twin n=3

[3] Twin n=4, Williams 10•9²+1

[4] Williams 10•9⁶+1

[5] Williams 10•9⁹+1

[6] Twin n=22, Williams 10•9¹¹+1

[7] Twin n=102, Williams 10•9⁵¹+1

[8] Williams 10•9⁵⁶+1

[9] Williams 10•9⁸¹+1

[10] Williams 10•9⁹⁴¹+1

[11] Williams 10•9¹⁶⁴⁷+1

[12] Williams 10•9⁷⁴⁶⁶+1

[13] Williams 10•9⁹⁴⁷⁷+1

[14] Williams 10•9⁹⁸⁰⁶+1

[15] Williams 10•9¹¹⁷⁹⁹+1

[16] Williams 10•9¹⁶⁹⁴¹+1

[17] Williams 10•9³³⁴³⁷+1

[18] Williams 10•9³⁵²⁷³+1

[19] Williams 10•9⁴³²⁸⁴+1

[20] Williams 10•9⁹³⁸¹³+1

[21] Williams 10•9⁹⁵³⁶⁹+1

[22] Williams 10•9⁵⁷⁶⁸³⁷+1

[23] Williams 10•9^1775223+1

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Proth primes of the form 10•3ⁿ+1

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Proth primes of the form 10•3n+1

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Proth primes of the form 10•3ⁿ+1