A274045 Primes p such that p + 72 is the next prime.

31397, 360091, 507217, 517639, 633667, 650107, 705317, 749471, 753859, 770669, 809629, 818021, 828277, 1001839, 1025957, 1087159, 1133387, 1145899, 1152421, 1164101, 1206869, 1207769, 1210639, 1241087, 1278911, 1290719, 1351997

Offset: 1

Author

Karl V. Keller, Jr., Jun 07 2016

Keywords

• nonn

Comments

This sequence is a subsequence of A156105 (p and p + 72 are primes).

Examples

			For 31397, the next prime is 31397 + 72 = 31469.
For 360091, the next prime is 360091 + 72 = 360163.
		

Links

• Karl V. Keller, Jr., Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A000040, A204792.

Programs

Mathematica

Select[Partition[Prime[Range[105000]],2,1],#[[2]]-#[[1]]==72&][[All,1]] (* Harvey P. Dale, Dec 19 2021 *)

PARI

is(n)=isprime(n) && nextprime(n+1)-n==72 \\ Charles R Greathouse IV, Jun 19 2016

Python

from sympy import isprime,nextprime
for i in range(3,1500001,2):
  if isprime(i) and nextprime(i) == i+72: print(i,end=', ')