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Search: id:A097349
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| A097349 |
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Numbers n such that (Sum (2k)^k, k=1..n) + 1 is prime. |
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+0
2
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OFFSET
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1,2
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COMMENT
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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 (rshepherd2(AT)hotmail.com), Apr 29 2006
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EXAMPLE
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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).
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PROGRAM
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(PARI) s=1; for(k=1, 700, s=s+(2*k)^k; if(isprime(s), print1(k, ", ")))
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CROSSREFS
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Cf. A073825 (Sum k^k, k=1..n, is prime), A097350 ((Sum (2k)^k, k=1..n) - 1 is prime).
Adjacent sequences: A097346 A097347 A097348 this_sequence A097350 A097351 A097352
Sequence in context: A097977 A136780 A128743 this_sequence A109112 A004027 A007509
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KEYWORD
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more,nonn
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AUTHOR
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Rick L. Shepherd (rshepherd2(AT)hotmail.com), Aug 07 2004
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EXTENSIONS
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One more term from Rick L. Shepherd (rshepherd2(AT)hotmail.com), Apr 29 2006
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