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A075469 Maximal m such that n^n-m and n^n+m are both primes, or -1 if there is no such m. 2
1, 20, 253, 3122, 46651, 823540, 16777155, 387420478, 9999999939, 285311670528, 8916100448227, 302875106592216, 11112006825558003, 437893890380859368, 18446744073709551537, 827240261886336764070, 39346408075296537575383 (list; graph; refs; listen; history; text; internal format)
OFFSET
2,2
COMMENTS
Are there any negative terms?
Of course the Goldbach conjecture implies that the answer is "no"; further, the first thousand terms are positive. - Charles R Greathouse IV, Mar 16 2016
LINKS
Charles R Greathouse IV, Table of n, a(n) for n = 2..386
FORMULA
a(n) = A047949(n^n). - Michel Marcus, Jun 09 2013
EXAMPLE
a(4) = 253 since 4^4-253 = 3 and 4^4+253 = 509 are both prime.
PROG
(PARI) a(n)=my(N=n^n); forprime(p=2, N, if(isprime(2*N-p), return(N-p))); -1 \\ Charles R Greathouse IV, Mar 16 2016
CROSSREFS
Cf. A075468.
Sequence in context: A218101 A241228 A306290 * A028032 A348055 A025986
KEYWORD
nonn
AUTHOR
Lior Manor, Sep 18 2002
STATUS
approved

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Last modified March 28 14:33 EDT 2024. Contains 371254 sequences. (Running on oeis4.)