A209250 Numbers n such that (2^64 - 189)*10^n + 1 is prime.

38, 214, 425, 557, 713, 1322, 1330, 5061, 19090, 19876, 31954, 41012, 53924, 94455, 124516, 127326, 413500, 476124

Offset

1,1

Comments

The prime (2^64 - 189)*10^476124 + 1 has 476144 digits.

Links

Table of n, a(n) for n=1..18.

Edward A. Trice, Page for a(18) at The Prime Pages

Edward A. Trice, Page for a(17) at The Prime Pages

Example

38 is in the sequence since (2^64 - 189)*10^38 + 1 is prime.
10 is not in the sequence since (2^64 - 189)*10^10 + 1 = 83639*2205519443526291733162759 is composite.

Mathematica

Select[Range[725], PrimeQ[(2^64 - 189)*10^# + 1] &] (* G. C. Greubel, Jan 05 2018 *)

Prog

(PARI) is(n)=ispseudoprime((2^64-189)*10^n+1) \\ Charles R Greathouse IV, Jun 13 2017

Crossrefs

Sequence in context: A020870 A211502 A259518 * A165068 A160281 A186119

Adjacent sequences: A209247 A209248 A209249 * A209251 A209252 A209253

Keyword

nonn,more

Author

Edward A. Trice, Jan 13 2013

Status

approved