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A063377 Sophie Germain degree of n: number of iterations of n under f(k) = 2k+1 before we reach a composite number. +0
4
5, 2, 0, 4, 0, 1, 0, 0, 0, 3, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 3, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 (list; graph; listen)
OFFSET

2,1

COMMENT

a(n)>=1 means n is prime; a(n)>=2 means n is a Sophie Germain prime. Is the Sophie Germain degree always finite? Is it unbounded?

EXAMPLE

a(2)=5 because 2, 5, 11, 23, 47 are prime but 95 is not.

CROSSREFS

A005384, A063378.

Cf. A093008, A093007.

Sequence in context: A112871 A078110 A093814 this_sequence A147710 A021872 A021196

Adjacent sequences: A063374 A063375 A063376 this_sequence A063378 A063379 A063380

KEYWORD

nonn

AUTHOR

Reiner Martin (reinermartin(AT)hotmail.com), Jul 14 2001

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Last modified November 30 22:12 EST 2008. Contains 150989 sequences.


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