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

1,1

Comments

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

Links

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

Example

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

Mathematica

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

Prog

(Python)
from sympy import isprime, nextprime
for i in range(3, 1500001, 2):
..if isprime(i) and nextprime(i) == i+72: print(i, end=', ')
(PARI) is(n)=isprime(n) && nextprime(n+1)-n==72 \\ Charles R Greathouse IV, Jun 19 2016

Crossrefs

Cf. A000040, A204792.

Sequence in context: A236891 A177217 A351852 * A277171 A258577 A303531

Adjacent sequences: A274042 A274043 A274044 * A274046 A274047 A274048

Keyword

nonn

Author

Karl V. Keller, Jr., Jun 07 2016

Status

approved