A118753 First prime after 4n. Smallest prime >= 4*n. Bisection of A060264.

2, 5, 11, 13, 17, 23, 29, 29, 37, 37, 41, 47, 53, 53, 59, 61, 67, 71, 73, 79, 83, 89, 89, 97, 97, 101, 107, 109, 113, 127, 127, 127, 131, 137, 137, 149, 149, 149, 157, 157, 163, 167, 173, 173, 179, 181, 191, 191, 193, 197, 211, 211, 211, 223, 223, 223, 227, 229, 233

Offset: 0

Author

Jonathan Vos Post, Apr 29 2006

Keywords

• easy
• nonn

Comments

Analogous to A060264 First prime after 2n; A118751 First prime after 3n.

Links

• Robert Israel, Table of n, a(n) for n = 0..10000

Crossrefs

Cf. A000040, A008586, A060308, A060264, A118747-56.

Programs

Maple

seq(nextprime(4*k),k=0..100); # Robert Israel, Dec 25 2017

Mathematica

NextPrime/@(4Range[0,60]) (* Harvey P. Dale, Nov 14 2021 *)

Formula

a(n) = min{A008586(n)+k such that k>0 and A008586(n)+k in A000040}.