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A095750 "Degree" of the Sophie Germain primes (A005384). +0
1
0, 0, 1, 2, 3, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 (list; graph; listen)
OFFSET

0,4

COMMENT

This sequence is derived from the special case of Cunningham chains of the first kind where every member of the chain is a Sophie Germain prime.

This sequence can be obtained by subtracting 2 from A074313 and then deleting all negative members. - David Wasserman (dwasserm(AT)earthlink.net), Sep 13 2007

LINKS

C. K. Caldwell, Cunningham Chains.

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

EXAMPLE

Entries 0, 0, 1, 2, 3 correspond to the Sophie Germain primes 2, 3, 5, 11, 23. 5 is degree 1 because 5 = (2 * 2) + 1 and 2 is also a Sophie Germain prime. Similarly, 11 = (5 * 2) + 1, therefore 11 is degree 2. 23 = (11 * 2) + 1, thus 23 is degree 3 and so on.

CROSSREFS

Cf. A005384.

Sequence in context: A045830 A078771 A072771 this_sequence A056966 A037846 A037882

Adjacent sequences: A095747 A095748 A095749 this_sequence A095751 A095752 A095753

KEYWORD

easy,nonn

AUTHOR

Andrew Plewe (aplewe(AT)sbcglobal.net), Jul 09 2004

EXTENSIONS

More terms from David Wasserman (dwasserm(AT)earthlink.net), Sep 13 2007

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Last modified December 15 00:47 EST 2009. Contains 170825 sequences.


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