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 A074966 a(n) = least k such that n^n + k is prime. 10
 1, 1, 2, 1, 12, 7, 4, 43, 10, 19, 62, 35, 16, 27, 28, 13, 74, 107, 18, 91, 32, 87, 14, 95, 96, 43, 68, 135, 120, 19, 58, 7, 58, 63, 54, 31, 42, 115, 10, 157, 110, 13, 4, 403, 122, 457, 534, 37, 18, 31, 226, 253, 20, 193, 102, 177, 392, 45, 194, 257, 102, 79, 454, 231, 306 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS "Are there any n except 1, 2 and 4 that make n^n + 1 a prime? He [Sierpiński] has shown that if such a prime exists it is greater than 10^30000." - Ogilvy and Anderson REFERENCES C. Stanley Ogilvy and John T. Anderson, Excursions in Number Theory. Dover. New York: 1988. Page 82. LINKS Hans Havermann and Seiichi Manyama, Table of n, a(n) for n = 1..2500 (Seiichi Manyama to 500) MATHEMATICA Array[Block[{k = 1}, While[! PrimeQ[k + #], k++]; k] &[#^#] &, 65] (* Michael De Vlieger, Jul 06 2018 *) PROG (PARI) a(n)=(x->nextprime(x)-x)(n^n) \\ Charles R Greathouse IV, Nov 25 2014 CROSSREFS Cf. A055385, A074967. Sequence in context: A010255 A257635 A085752 * A128413 A058843 A343861 Adjacent sequences: A074963 A074964 A074965 * A074967 A074968 A074969 KEYWORD nonn AUTHOR Zak Seidov, Oct 03 2002 EXTENSIONS More terms from Robert G. Wilson v, Oct 04 2002 Name taken from Comments section by Jon E. Schoenfield, Jan 14 2015 STATUS approved

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Last modified February 21 09:29 EST 2024. Contains 370228 sequences. (Running on oeis4.)