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A167236 Larger prime power associated with gaps in A121492. 1
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..33.

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

STATUS

approved

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Last modified December 14 14:50 EST 2019. Contains 329979 sequences. (Running on oeis4.)