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A097349
Numbers n such that (Sum (2k)^k, k=1..n) + 1 is prime.
1
1, 2, 13, 72, 318, 13583
OFFSET
1,2
COMMENTS
Some of the larger entries may only correspond to probable primes.
The numbers produced by 72 and 318 have now been certified prime by Primo. 13583, found by PrimeForm using recurrence mode, corresponds to a 60228-digit probable prime. - Rick L. Shepherd, Apr 29 2006
EXAMPLE
13 is a term as 2^1 + 4^2 + 6^3 + 8^4 + 10^5 + 12^6 + 14^7 + 16^8 + 18^9 + 20^10 + 22^11 + 24^12 + 26^13 + 1 = 2518267981703965963, which is prime (certified with Primo).
PROG
(PARI) s=1; for(k=1, 700, s=s+(2*k)^k; if(isprime(s), print1(k, ", ")))
CROSSREFS
Cf. A073825 (Sum k^k, k=1..n, is prime), A097350 ((Sum (2k)^k, k=1..n) - 1 is prime).
Sequence in context: A289926 A188676 A330499 * A289790 A109112 A163190
KEYWORD
more,nonn
AUTHOR
Rick L. Shepherd, Aug 07 2004
EXTENSIONS
One more term from Rick L. Shepherd, Apr 29 2006
STATUS
approved