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A121492
Gaps associated with A002540(n).
5
1, 2, 3, 4, 5, 6, 8, 10, 12, 14, 20, 22, 30, 32, 34, 36, 44, 52, 72, 86, 96, 112, 114, 118, 132, 148, 154, 180, 210, 220, 222, 234, 248, 250, 282, 288, 292, 320, 336, 354, 382, 384, 394, 456, 464, 468, 474, 486, 490, 500, 514, 516, 532, 534, 540, 582, 588, 602
OFFSET
1,2
COMMENTS
Record gaps between prime powers (A000961) [Michael B. Porter, Nov 01 2009].
LINKS
Jan Kristian Haugland, Table of n, a(n) for n = 1..87 (terms 1..79 from Donovan Johnson). The extra terms are copied from A005250 as the associated prime gaps do not contain any prime powers.
EXAMPLE
6 is in the sequence since 53 and 59 are consecutive prime powers and no smaller pair of consecutive prime powers differ by 6 or more. [From Michael B. Porter, Nov 03 2009]
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(d); d_max=d); n_prev=n)) /* Michael B. Porter, Nov 01 2009 */
CROSSREFS
start of gap: A002540, end of gap: A167236, gaps: A057820 [From Michael B. Porter, Nov 03 2009]
Sequence in context: A218906 A059809 A327634 * A182418 A204580 A347831
KEYWORD
nonn,changed
AUTHOR
Lekraj Beedassy, Aug 03 2006
EXTENSIONS
Second term corrected. a(20)-a(79) and b-file from Donovan Johnson, Nov 14 2008
STATUS
approved