A222534 Smallest Sierpinski number that is divisible by the n-th prime.

7592506760633776533, 36293948155, 157957457, 603713, 422590909, 78557, 6134663, 1259779, 575041, 7892569, 2931991, 4095859, 2541601, 7892569, 29169451, 271577, 35193889, 12824269, 603713, 9454157, 575041, 7696009, 5455789, 41561687, 7400371, 2191531, 29046541, 2931991

Offset

2,1

Comments

For an odd prime p and odd k, if p divides k, then p does not divide k*2^n + 1 for any n.

Links

Arkadiusz Wesolowski, Table of n, a(n) for n = 2..1000

Chris Caldwell, The Prime Glossary: Sierpinski number

Carlos Rivera, Problem 86. A smaller Sierpinski integer divided by 3, The Prime Puzzles & Problems Connection.

Example

603713 is first Sierpinski number that is divisible by 11, the 5th prime - so a(5) = 603713.

Crossrefs

Cf. A076336, A187716, A213529, A364413.

Sequence in context: A306797 A213529 A187714 * A071759 A364363 A215876

Adjacent sequences: A222531 A222532 A222533 * A222535 A222536 A222537

Keyword

nonn

Author

Arkadiusz Wesolowski, Feb 24 2013

Extensions

Offset changed and initial term added by Arkadiusz Wesolowski, May 11 2017

a(2) corrected by Arkadiusz Wesolowski, Jul 27 2023

Status

approved