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A248872
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Numbers n such that n^n + n! + 1 is prime.
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0
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OFFSET
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1,2
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COMMENTS
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Note that 28 and 496 are perfect numbers (see A000396).
a(6) > 1500.
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LINKS
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EXAMPLE
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For n = 1, 1^1 + 1! + 1 = 3, which is prime.
For n = 2, 2^2 + 2! + 1 = 4 + 2 + 1 = 7, which is prime.
For n = 4, 4^4 + 4! + 1 = 281, which is prime.
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MATHEMATICA
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Select[Range[1500], PrimeQ[#^# + #! + 1]&]
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PROG
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(PARI) for(n=1, 10^3, if(ispseudoprime(n^n+n!+1), print1(n, ", "))) \\ Derek Orr, Mar 06 2015
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CROSSREFS
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KEYWORD
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nonn,more,hard
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AUTHOR
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STATUS
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approved
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