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A156658 Primes p such that also 2*p+1 or (p-1)/2 is prime. 3
2, 3, 5, 7, 11, 23, 29, 41, 47, 53, 59, 83, 89, 107, 113, 131, 167, 173, 179, 191, 227, 233, 239, 251, 263, 281, 293, 347, 359, 383, 419, 431, 443, 467, 479, 491, 503, 509, 563, 587, 593, 641, 653, 659, 683, 719, 743, 761, 809, 839, 863, 887, 911, 953, 983, 1013 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Union of A005384 and A005385;
The intersection of A005384 and A005385 is given by A059455.
A156660(a(n)) + A156659(a(n)) > 0;
primes occurring in Cunningham chains of the first kind.
A156876 gives the number of these numbers <= n. [Reinhard Zumkeller, Feb 18 2009]
LINKS
Wikipedia, Safe prime
Wikipedia, Cunningham chain
MAPLE
select(t -> isprime(t) and (isprime(2*t+1) or isprime((t-1)/2)), [2, seq(p, p=3..10000, 2)]); # Robert Israel, May 03 2016
MATHEMATICA
Select[Prime@ Range@ 180, PrimeQ[2 # + 1] || PrimeQ[(# - 1)/2] &] (* Michael De Vlieger, Apr 06 2016 *)
PROG
(PARI) lista(nn) = {forprime(p=2, nn, if (isprime(2*p+1) || isprime((p-1)/2), print1(p, ", ")); ); } \\ Michel Marcus, Apr 06 2016
CROSSREFS
Sequence in context: A089695 A070027 A207294 * A118723 A118721 A094318
KEYWORD
nonn
AUTHOR
Reinhard Zumkeller, Feb 13 2009
STATUS
approved

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Last modified September 3 01:29 EDT 2024. Contains 375635 sequences. (Running on oeis4.)