A167236 Larger prime power associated with gaps in A121492.

2, 7, 16, 23, 37, 59, 97, 149, 211, 307, 907, 1151, 1361, 5623, 8501, 9587, 15727, 19661, 31469, 156007, 360749, 370373, 492227, 1349651, 1357333, 2010881, 4652507, 17051887, 20831533, 47326913, 122164969, 189695893, 191913031, 387096383, 436273291, 1294268779

Offset

1,1

Links

Jan Kristian Haugland, Table of n, a(n) for n = 1..87. The extra terms after a(33) are copied from A000101 as the associated prime gaps do not contain any prime powers.

Example

59 is in the sequence since 53 and 59 are consecutive prime powers with a difference of 6 and no smaller pair of consecutive prime powers differ by 6 or more.

Prog

(PARI) isA000961(n) = (omega(n) == 1 || n == 1)
d_max=0; n_prev=1; for(n=2, 1e6, if(isA000961(n), d=n-n_prev; if(d>d_max, print(n); d_max=d); n_prev=n))

Crossrefs

Size of gap: A121492

Smaller prime power (start of gap): A002540

Gaps between prime powers: A057820

List of prime powers: A000961

Sequence in context: A135781 A233580 A225323 * A041573 A211053 A041341

Adjacent sequences: A167233 A167234 A167235 * A167237 A167238 A167239

Keyword

nonn

Author

Michael B. Porter, Nov 01 2009, Nov 03 2009

Extensions

a(34) onwards from Jan Kristian Haugland, Oct 18 2024

Status

approved