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A059452 Safe primes (A005385) which are not Sophie Germain primes. +0
23
7, 47, 59, 107, 167, 227, 263, 347, 383, 467, 479, 503, 563, 587, 839, 863, 887, 983, 1187, 1283, 1307, 1319, 1367, 1487, 1523, 1619, 1823, 1907, 2027, 2099, 2207, 2447, 2579, 2879, 2999, 3119, 3167, 3203, 3467, 3947, 4007, 4079, 4127, 4139, 4259, 4283 (list; graph; listen)
OFFSET

1,1

COMMENT

A156659(a(n))*(1-A156660(a(n))) = 1. [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Feb 18 2009]

LINKS

C. K. Caldwell, Cunningham Chains

W. Roonguthai, Yves Gallot's Proth.exe and Cunningham Chains

EXAMPLE

347 is here because 173 is a prime but 695 is not. Except for 7, these primes are congruent to 11 modulo 12. Terminal primes in complete Cunningham chains of first kind, i.e. the chains cannot be continued from these primes.

MATHEMATICA

lst={}; Do[p=Prime[n]; If[PrimeQ[(p-1)/2], If[ !PrimeQ[2*p+1], AppendTo[lst, p]]], {n, 6!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Jun 24 2009]

CROSSREFS

Cf. A005384, A005385, A053176, A059452-A059456, A007700, A005602, A023272, A023302, A023330.

Sequence in context: A009241 A124837 A122731 this_sequence A141882 A067658 A044490

Adjacent sequences: A059449 A059450 A059451 this_sequence A059453 A059454 A059455

KEYWORD

nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu), Feb 02 2001

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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