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A059761 Initial primes of Cunningham chains of first type with length exactly 2. Primes in A059453 which survive as primes only one "2p-1 iteration", forming chains of exactly 2 terms. 16
3, 29, 53, 113, 131, 173, 191, 233, 239, 251, 281, 293, 419, 431, 443, 491, 593, 641, 653, 659, 683, 743, 761, 809, 911, 953, 1013, 1049, 1103, 1223, 1289, 1499, 1559, 1583, 1601, 1733, 1973, 2003, 2069, 2129, 2141, 2273, 2339, 2351, 2393, 2399, 2543 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
Chris Caldwell's Prime Glossary, Cunningham chains.
Eric Weisstein's World of Mathematics, Cunningham Chain
FORMULA
{(p-1)/2, p, 2p+1, 4p+3} = {composite, prime, prime, composite}
EXAMPLE
53 is here because 26 and 215 are composites,53 and 107 are primes
MATHEMATICA
ccftQ[p_]:=Boole[PrimeQ[{(p-1)/2, p, 2 p+1, 4 p+3}]]=={0, 1, 1, 0}; Select[ Prime[ Range[400]], ccftQ] (* Harvey P. Dale, Jun 19 2021 *)
CROSSREFS
Sequence in context: A228613 A071150 A107189 * A210360 A049437 A171409
KEYWORD
nonn
AUTHOR
Labos Elemer, Feb 20 2001
STATUS
approved

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Last modified April 21 14:18 EDT 2024. Contains 371870 sequences. (Running on oeis4.)