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A279884
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a(n) = (prime(n)-1)^(prime(n)+1) + 1.
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1
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2, 17, 4097, 1679617, 1000000000001, 1283918464548865, 4722366482869645213697, 12748236216396078174437377, 165251092644282265779977014214657, 25986090120790645892257018950637850957185025, 185302018885184100000000000000000000000000000001
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OFFSET
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1,1
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COMMENTS
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Conjecture: If (n-1)^(n+1) + 1 is a prime, then n = prime.
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LINKS
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EXAMPLE
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For n=3; a(3) = (prime(3)-1)^(prime(3)+1) + 1 = 4^6 + 1 = 4097.
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MATHEMATICA
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PROG
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(Magma) [(NthPrime(n)-1)^(NthPrime(n)+1)+1: n in[1..50]]
(PARI) a(n) = (prime(n)-1)^(prime(n)+1)+1 \\ Felix Fröhlich, Dec 23 2016
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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