A073943 a(n) = smallest m such that n-th prime divides m^m + 1.

1, 5, 2, 3, 21, 6, 24, 27, 11, 14, 15, 6, 25, 63, 23, 26, 117, 30, 99, 35, 9, 39, 165, 11, 6, 10, 51, 213, 54, 7, 63, 261, 174, 23, 74, 33, 78, 27, 83, 86, 357, 30, 95, 12, 14, 11, 15, 111, 453, 18, 12, 119, 90, 501, 4, 131, 82, 135, 117, 60, 45, 138, 51, 95, 54, 114, 75

Offset: 1

Author

Jason Earls, Nov 13 2002

Keywords

• easy
• nonn

Examples

			6th prime is 13 and 13 first divides 6^6 + 1 = 46657, so a(6) = 6.
		

Links

• Harvey P. Dale, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A014566.

Programs

Mathematica

smp[n_]:=Module[{m=1},While[PowerMod[m,m,n]!=n-1,m++];m]; smp/@Prime[ Range[ 70]] (* Harvey P. Dale, Jul 21 2018 *)