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

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

Crossrefs

Cf. A246547, A007917, A007918, A013632, A013633, A049711.

Sequence in context: A258573 A060271 A073806 * A130819 A307097 A050829

Adjacent sequences: A060846 A060847 A060848 * A060850 A060851 A060852

Keyword

nonn

Author

Labos Elemer, May 03 2001

Status

approved