A029709 Numbers k such that k-th and (k+1)st primes differ by 4.

4, 6, 8, 12, 14, 19, 22, 25, 27, 29, 31, 38, 44, 48, 50, 59, 63, 65, 70, 75, 78, 85, 88, 90, 93, 95, 112, 117, 122, 131, 134, 136, 143, 147, 149, 151, 153, 155, 159, 163, 169, 181, 183, 198, 207, 211, 213, 224, 226, 229, 235, 237, 244, 247, 249, 251

Offset: 1

Author

N. J. A. Sloane

Keywords

• nonn

Comments

Positions of 4 in A001223. - Zak Seidov, Apr 28 2015

Links

• N. J. A. Sloane and K. D. Bajpai, Table of n, a(n) for n = 1..10213 (first 56 terms from N. J. A. Sloane)

Crossrefs

Cf. A023200, A029710, A001223.

Programs

Magma

[n: n in [0..300] | NthPrime(n+1) - NthPrime(n) eq 4]; // Vincenzo Librandi, Apr 28 2015

Mathematica

Select[Range[2, 300], 4 == (Prime[# + 1] - Prime[#]) &] (* Vincenzo Librandi, Apr 28 2015 *)

Formula

A029710(n) = prime(a(n)). - R. J. Mathar, Apr 30 2024