id:A069586 - OEIS Search Results

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Smallest prime power p^k (k>=2) such that there is a gap of exactly n between p^k and the next prime power q^l (l >= 2); or 0 if no such q^l exists.

+0
2

8, 25, 125, 4, 4, 0, 9, 8, 16, 2187, 16, 4, 243, 0, 49, 9, 8, 9, 8, 0, 4, 27, 4, 8, 0, 0, 0, 4, 0, 6859, 0, 32, 16, 0, 0, 0, 27, 1331, 25, 9, 8, 0, 0, 81, 4, 243, 81, 16, 32, 0, 0, 0, 0, 27, 9, 8, 64, 0, 0, 4, 64, 0, 961, 64, 16, 0, 0, 0, 0, 0, 0, 9, 8, 169, 0, 49, 4, 0, 49, 0, 0, 0, 0, 0, 0 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`Any solution for the terms that are currently zero is > 10^14. Since there are so many 'missing' values, I would recommend leaving the more keyword. - Larry Reeves (larryr(AT)acm.org), Jul 02 2002`
	EXAMPLE	`a(1) = 8 = 2^3 and 8+1 = 9=3^2; a(3) = 125 = 5^3 and 125 +3 =128 = 2^7.`
	CROSSREFS	`First time a gap of n occurs in A025475 (with its initial 1 deleted).` `Sequence in context: A139026 A135942 A068315 this_sequence A042189 A004246 A060718` `Adjacent sequences: A069583 A069584 A069585 this_sequence A069587 A069588 A069589`
	KEYWORD	`nonn`
	AUTHOR	`Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Mar 24 2002`
	EXTENSIONS	`More terms from Larry Reeves (larryr(AT)acm.org), Jul 02 2002`

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Last modified December 7 23:50 EST 2009. Contains 170430 sequences.

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