A213738 a(n) is the smallest prime of the form n*m^q + 1 where m is an integer and q >= 2.

5, 17, 13, 17, 41, 97, 29, 73, 37, 41, 89, 97, 53, 113, 61, 257, 137, 73, 1217, 181, 337, 89, 829, 97, 101, 937, 109, 113, 233, 241, 1117, 257, 2113, 137, 281, 577, 149, 1217, 157, 641, 36901, 337, 173, 353, 181, 1151, 1693, 193, 197, 401, 409, 1301, 1697, 433

Offset

1,1

Links

Michel Marcus, Table of n, a(n) for n = 1..10000

Example

a(11) = 89 = 11*2^3 + 1.

Prog

(PARI) a(n) = {forprime(p=2, , qq = (p-1)/n; if ((denominator(qq) == 1) && ispower(qq), return (p)); ); } \\ Michel Marcus, Feb 25 2018

Crossrefs

Cf. A001597, A213740.

Sequence in context: A178197 A302159 A070848 * A060829 A096896 A056850

Adjacent sequences: A213735 A213736 A213737 * A213739 A213740 A213741

Keyword

nonn

Author

Michel Lagneau, Jun 19 2012

Status

approved