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 A262207 a(n) = prime(n)^n mod n^n. 1
 0, 1, 17, 97, 1676, 21241, 214259, 5020449, 34808102, 7233300201, 46070142226, 7806783217105, 165239209697109, 1608006723911113, 48560388990668468, 4867006141797699265, 530779430908845468654, 18442832496573633213385 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS Inspired by A002380, A067602, A138654. a(3), a(4), a(7) and a(48) are prime numbers. LINKS Table of n, a(n) for n=1..18. FORMULA a(n) = A062457(n) mod A000312(n). - Michel Marcus, Sep 15 2015 EXAMPLE For n = 1, a(n) = prime(1)^1 mod 1^1 = 2^1 mod 1 = 2 mod 1 = 0. For n = 2, a(n) = prime(2)^2 mod 2^2 = 3^2 mod 4 = 9 mod 4 = 1. For n = 3, a(n) = prime(3)^3 mod 3^3 = 5^3 mod 27 = 125 mod 27 = 17. MATHEMATICA Table[Mod[Prime[n]^n, n^n], {n, 18}] (* Michael De Vlieger, Sep 15 2015 *) PROG (PARI) a(n) = (prime(n)^n) % (n^n); vector(18, n, a(n)) CROSSREFS Cf. A002380, A067602, A138654, A000312, A062457, A121623. Sequence in context: A184327 A331877 A358572 * A282997 A231667 A044268 Adjacent sequences: A262204 A262205 A262206 * A262208 A262209 A262210 KEYWORD nonn,easy AUTHOR Altug Alkan, Sep 15 2015 STATUS approved

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Last modified August 9 08:03 EDT 2024. Contains 375034 sequences. (Running on oeis4.)