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

Author

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

Keywords

• nonn

Links

• Eric Weisstein's World of Mathematics, Twin Primes

Crossrefs

Cf. A001359, A006512.

Equals A054735 - 1.

Programs

Mathematica

2Select[ Prime/@Range[ 250 ], PrimeQ[ #+2 ]& ]+1

Formula

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

Extensions

Edited by Dean Hickerson, Jun 20 2003