A187023 a(n) is the smallest prime factor of n^n-1 having the form k*n+1.

3, 13, 5, 11, 7, 29, 17, 19, 11, 15797, 13, 53, 7027567, 61, 17, 10949, 19, 109912203092239643840221, 41, 43, 23, 461, 73, 101, 937, 109, 29, 59, 31, 568972471024107865287021434301977158534824481, 257, 67, 103, 281, 37, 149, 191, 157, 41

Offset

2,1

Comments

The values of k are in A187025.

Links

Amiram Eldar, Table of n, a(n) for n = 2..138

Example

7^7-1 = 2*3*29*4733; the smallest prime divisor of the form k*n+1 is 29 = 4*7+1, hence a(7) = 29.

Mathematica

Table[p=First/@FactorInteger[n^n-1]; Select[p, Mod[#1, n] == 1 &, 1][[1]], {n, 2, 40}]

Prog

(Magma) A187023:=function(n); for d in PrimeDivisors(n^n-1) do if d mod n eq 1 then return d; end if; end for; return 0; end function; [ A187023(n): n in [2..50] ]; // Klaus Brockhaus, Mar 02 2011

Crossrefs

Cf. A187022, A187025.

Sequence in context: A050089 A282174 A125571 * A331806 A331807 A084738

Adjacent sequences: A187020 A187021 A187022 * A187024 A187025 A187026

Keyword

nonn

Author

Michel Lagneau, Mar 02 2011

Status

approved