A060849 - OEIS

A060849

Difference between 2 consecutive primes between which a nontrivial power of prime is found.

2, 4, 4, 4, 6, 6, 6, 6, 6, 4, 14, 14, 4, 6, 10, 6, 10, 10, 8, 12, 18, 12, 6, 14, 14, 10, 34, 6, 24, 14, 14, 24, 24, 6, 12, 16, 16, 22, 8, 6, 10, 10, 12, 10, 18, 10, 6, 16, 8, 18, 10, 18, 6, 20, 20, 34, 18, 14, 10, 12, 30, 24, 8, 16, 14, 6, 36, 20, 12, 28, 12, 10, 12, 14, 20, 22, 22

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

LINKS

Michel Marcus, Table of n, a(n) for n = 1..10000

FORMULA

a(n) = nextprime(A246547(n)) - prevprime(A246547(n)) = A013633(A246547(n)). [corrected by Michel Marcus, Mar 23 2020]

EXAMPLE

59049=3^10 is between 59029 and 59051, so the corresponding term is 59051-59029=22.

PROG

(PARI) ispp(n) = isprimepower(n) >= 2; \\ A246547

lista(nn) = {for (n=1, nn, if (ispp(n), print1(nextprime(n) - precprime(n), ", ")); ); } \\ Michel Marcus, Mar 23 2020