A049497 -id:A049497 - cp's OEIS frontend

A049496 a(n) and a(n)+4^k are primes at least for k=1,2,3,4,5,6.

37, 163, 15667, 53593, 142543, 305407, 607093, 671353, 904663, 1172803, 1233523, 1351837, 1378843, 1389217, 1457857, 1686133, 1842523, 1867783, 2451793, 2668213, 2694157, 2979043, 3095227, 4228723, 4890307, 5535853, 5772097, 5859613, 6404773, 6827503, 6933067

Offset: 1

Labos Elemer

nonn

			37, 37+4=41, 37+16=53, 37+64=101, 37+256=293, 37+1024=1061, 37+4096=4133 are all primes; the smallest such a 7-chain is {37,41,53,101,293,1061,4133}.

Cf. A023200, A049492-A049495, A049497-A049500.

isok(n) = isprime(n) && isprime(n+4) && isprime(n+16) && isprime(n+64) && isprime(n+256) && isprime(n+1024) && isprime(n+4096); \\ Michel Marcus, Dec 22 2013

A023200 INTERSECT A269259. - R. J. Mathar, Mar 26 2024

More terms from Michel Marcus, Dec 22 2013

A049498 a(n) and a(n)+4^k are primes at least for k=1,2,3,4,5,6,7,8.

Original entry on oeis.org

163, 15667, 607093, 671353, 1457857, 5772097, 9139453, 11170933, 13243063, 18116473, 19433863, 21960577, 32380177, 52896517, 115831753, 154146133, 165609217, 191489677, 361241743, 394845313, 518774953, 613615423, 705676717, 742403797, 786242293, 945170293

Offset: 1

Labos Elemer

nonn

			163, 163+4 = 167, 163+16 = 179, 163+64 = 227, 163+256 = 419, 163+1024 = 1187, 163+4096 = 4259, 163+16384 = 16547, 163+65536 = 65699 are all primes; the smallest such a 9-chain of primes is {163, 167, 178, 227, 419, 1187, 4259, 16547, 65699}

Cf. A023200, A049492-A049497, A049499-A049500.

  With[{c=4^Range[8]},Select[Prime[Range[500000]],And@@PrimeQ[#+c]&]] (* Harvey P. Dale, May 22 2012 *)

More terms from Michel Marcus, Dec 22 2013

cp's OEIS Frontend

A049496 a(n) and a(n)+4^k are primes at least for k=1,2,3,4,5,6.

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