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Search: id:A121492
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| 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
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Record gaps between prime powers (A000961) [Michael Porter (michael_b_porter(AT)yahoo.com), Nov 01 2009].
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LINKS
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Donovan Johnson, Table of n, a(n) for n=1..79 [From Donovan Johnson (donovan.johnson(AT)yahoo.com), Nov 14 2008]
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EXAMPLE
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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 Porter (michael_b_porter(AT)yahoo.com), Nov 03 2009]
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PROGRAM
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(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 Porter (michael_b_porter(AT)yahoo.com), Nov 01 2009 */
Contribution from Michael Porter (michael_b_porter(AT)yahoo.com), Nov 03 2009: (Start)
(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)) (End)
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CROSSREFS
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Cf. A002540, A167236, A057820, A000961 [Michael Porter (michael_b_porter(AT)yahoo.com), Nov 01 2009]
start of gap: A002540, end of gap: A167236, gaps: A057820 [From Michael Porter (michael_b_porter(AT)yahoo.com), Nov 03 2009]
Sequence in context: A029032 A059809 A144043 this_sequence A078931 A003401 A064481
Adjacent sequences: A121489 A121490 A121491 this_sequence A121493 A121494 A121495
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KEYWORD
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nonn,new
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AUTHOR
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Lekraj Beedassy (blekraj(AT)yahoo.com), Aug 03 2006
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EXTENSIONS
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Second term corrected. a(20)-a(79) and b-file from Donovan Johnson (donovan.johnson(AT)yahoo.com), Nov 14 2008
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