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A262207
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a(n) = prime(n)^n mod n^n.
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1
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0, 1, 17, 97, 1676, 21241, 214259, 5020449, 34808102, 7233300201, 46070142226, 7806783217105, 165239209697109, 1608006723911113, 48560388990668468, 4867006141797699265, 530779430908845468654, 18442832496573633213385
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OFFSET
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1,3
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COMMENTS
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a(3), a(4), a(7) and a(48) are prime numbers.
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LINKS
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FORMULA
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EXAMPLE
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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.
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MATHEMATICA
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PROG
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(PARI) a(n) = (prime(n)^n) % (n^n);
vector(18, n, a(n))
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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