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A074966
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NextPrime(n^n) - n^n.
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5
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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; internal format)
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OFFSET
| 1,3
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COMMENTS
| Or, least k such that n^n + k is prime.
"Are there any n except 1, 2 and 4 that make n^n + 1 a prime? He [Sierpinski] has shown that if such a prime exists it is greater than 10^30000." - Ogilvy and Anderson.
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REFERENCES
| C. Stanley Ogilvy and John T. Anderson, Excursions in Number Theory. Dover. New York: 1988. Page 82.
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MATHEMATICA
| PrimeNextDelta[n_]:=Module[{k}, k=n+1; While[ !PrimeQ[k], k++ ]; k=k-n]; lst={}; Do[AppendTo[lst, PrimeNextDelta[n^n]], {n, 5!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Jun 11 2009]
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CROSSREFS
| Cf. A055385, A074967.
Sequence in context: A050139 A010255 A085752 * A128413 A058843 A130559
Adjacent sequences: A074963 A074964 A074965 * A074967 A074968 A074969
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KEYWORD
| nonn
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AUTHOR
| Zak Seidov (zakseidov(AT)yahoo.com), Oct 03 2002
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EXTENSIONS
| More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Oct 04 2002
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