A082496 Numbers of the form 2p+1, where p and p+2 are a pair of twin primes.

7, 11, 23, 35, 59, 83, 119, 143, 203, 215, 275, 299, 359, 383, 395, 455, 479, 539, 563, 623, 695, 839, 863, 923, 1043, 1139, 1199, 1235, 1283, 1319, 1619, 1643, 1655, 1715, 1763, 2039, 2063, 2099, 2123, 2183, 2303, 2459, 2555, 2579, 2603, 2639, 2855, 2903

Offset

1,1

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Eric Weisstein's World of Mathematics, Twin Primes

Formula

a(n) = 2*A001359(n) + 1 = 2*A006512(n) - 3 = A001359(n) + A006512(n) - 1

Mathematica

2Select[ Prime/@Range[ 250 ], PrimeQ[ #+2 ]& ]+1
2#[[1]]+1&/@Select[Partition[Prime[Range[300]], 2, 1], #[[2]]-#[[1]]==2&] (* Harvey P. Dale, Feb 21 2026 *)

Crossrefs

Cf. A001359, A006512.

Equals A054735 - 1.

Sequence in context: A255769 A175625 A395590 * A239733 A265768 A210001

Adjacent sequences: A082493 A082494 A082495 * A082497 A082498 A082499

Keyword

nonn

Author

Vincenzo Origlio (vincenzo.origlio(AT)itc.cnr.it), Apr 29 2003

Extensions

Edited by Dean Hickerson, Jun 20 2003

Status

approved