A092110 Primes p such that 2p+3 and 2p-3 are both prime.

5, 7, 13, 17, 43, 53, 67, 97, 113, 127, 137, 157, 167, 193, 223, 283, 487, 547, 563, 613, 617, 643, 647, 743, 773, 937, 1033, 1187, 1193, 1277, 1427, 1453, 1483, 1543, 1583, 1627, 1663, 1733, 1847, 2027, 2143, 2297, 2393, 2437, 2467, 2477, 2503, 2617, 2843

Offset

1,1

Comments

Intersection of A023204 and A063908.

All numbers in this sequence end with 3 or 7 (except the first one, which is 5). See A136191 or A136192. - Carlos Alves, Dec 20 2007

Links

K. D. Bajpai, Table of n, a(n) for n = 1..10000

Example

From K. D. Bajpai, Sep 08 2020: (Start)
7 is a term because 2*7 + 3 = 17 and 2*7 - 3 = 11 are both prime.
13 is a term because 2*13 + 3 = 29 and 2*13 - 3 = 23 are both prime.
(End)

Maple

select(p -> isprime(p) and isprime(2*p+3) and isprime(2*p-3), [seq(2*k+1, k=1..1000)]); # K. D. Bajpai, Sep 08 2020

Mathematica

Select[Prime@Range@1000, PrimeQ[2#-3]&&PrimeQ[2#+3]&] (* Vladimir Joseph Stephan Orlovsky, Apr 25 2011 *)

Prog

(Magma) [p: p in PrimesUpTo(10000)|IsPrime(2*p-3) and IsPrime(2*p+3)] // Vincenzo Librandi, Nov 16 2010

Crossrefs

Cf. A023204, A089531, A063908, A092109.

Cf. A136191, A136192.

Sequence in context: A339691 A076294 A073574 * A171518 A336581 A248920

Adjacent sequences: A092107 A092108 A092109 * A092111 A092112 A092113

Keyword

easy,nonn

Author

Zak Seidov, Feb 21 2004

Status

approved