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A087372 Smallest k such that 3^k + 2n is a prime, or 0 if no such k exists. Index of the smallest power of 3 which when increased by the n-th even number yields a prime. +0
1
1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 3, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 3, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 3, 0, 4, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 3, 1, 0, 2, 1, 0, 1, 3, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 3, 2, 0, 3, 1, 0 (list; graph; listen)
OFFSET

1,11

COMMENT

Most of the terms are 0, 1 or 2. Subsidiary sequence: Index of the first occurrence of n. Conjecture: There exists a finite M such that a(n) < M for all n.

EXAMPLE

a(10) = 1 as 3^1 + 20 = 23 is a prime.

a(23) = 3 as 3^3 +46 = 73 is a prime but 46+3 and 46+9 are not.

CROSSREFS

Cf. A087371.

Adjacent sequences: A087369 A087370 A087371 this_sequence A087373 A087374 A087375

Sequence in context: A086966 A140080 A065359 this_sequence A036431 A029407 A099544

KEYWORD

nonn

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Sep 09 2003

EXTENSIONS

More terms from David Wasserman (wasserma(AT)spawar.navy.mil), May 24 2005

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Last modified October 10 20:39 EDT 2008. Contains 144831 sequences.


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