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A059762 Initial primes of Cunningham chains of first type with length exactly 3. Primes in A059453 which survive as primes just two "2p+1 iterations", forming chains of exactly 3 terms. +0
14
41, 1031, 1451, 1481, 1511, 1811, 1889, 1901, 1931, 3449, 3491, 3821, 3911, 5081, 5441, 5849, 6101, 6131, 7151, 7349, 7901, 8969, 9221, 10691, 10709, 11171, 11471, 11801, 12101, 12821, 12959, 13229, 14009, 14249, 14321, 14669, 14741, 15161 (list; graph; listen)
OFFSET

0,1

LINKS

C. K. Caldwell, Cunningham Chains

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

FORMULA

{(p-1)/2, p, 2p+1, 4p+3, 8p+7} = {composite, prime, prime, prime, composite}

EXAMPLE

41 is here because 20 and 325 are composites,41,83,167 are primes.

CROSSREFS

Cf. A023272, A023302, A023330, A005384, A005385, A059452-A059455, A007700.

Sequence in context: A038397 A104349 A091314 this_sequence A069362 A016093 A130639

Adjacent sequences: A059759 A059760 A059761 this_sequence A059763 A059764 A059765

KEYWORD

nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu), Feb 20 2001

EXTENSIONS

Definition corrected by Alexandre Wajnberg (alexandre.wajnberg(AT)ulb.ac.be), Aug 31 2005

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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