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

Author

Arkadiusz Wesolowski, Feb 24 2013

Keywords

• nonn

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.

Examples

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

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.

Crossrefs

Cf. A076336, A187716, A213529, A364413.

Extensions

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

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