A240548 Greatest prime factor of n^5 + 1.

2, 11, 61, 41, 521, 101, 191, 331, 1181, 9091, 13421, 19141, 2411, 101, 1531, 61681, 101, 9041, 2251, 152381, 185641, 224071, 211, 5791, 9161, 1021, 271, 53951, 401, 71261, 21821, 4051, 1151041, 259631, 132631, 6781, 1824841, 2031671, 41011, 20641, 4111, 23201

Offset: 1

Author

T. D. Noe, Apr 07 2014

Keywords

• nonn

Examples

			a(2) = 11 because 2^5 + 1 = 33 = 3 * 11.
a(3) = 61 because 3^5 + 1 = 244 = 2^2 * 61.
a(4) = 41 because 4^5 + 1 = 1025 = 5^2 * 41.
a(2272) = 2273 because 2272^5 + 1 = 11^2 * 311 * 491 * 1171 * 1231 * 2273.
		

Links

• T. D. Noe, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A002561, A014442, A081256, A096172, A240549-A240553.

Programs

Mathematica

Table[FactorInteger[n^5 + 1][[-1, 1]], {n, 100}]