id:A130272 - OEIS Search Results

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Primes p for which the period of the continued fraction of sqrt(p) increases.

+0
3

2, 3, 7, 13, 19, 31, 43, 61, 103, 109, 139, 151, 181, 211, 331, 421, 541, 571, 631, 751, 919, 1291, 1381, 1549, 1579, 1621, 1759, 1831, 2011, 2311, 2671, 3019, 3469, 3691, 3931, 4909, 4951, 4999, 5119, 6211, 6451, 6679, 8269, 8719, 8779, 8941, 9739, 9949 (list; graph; listen)

	OFFSET	`1,1`
	LINKS	`T. D. Noe, Table of n, a(n) for n=1..200`
	FORMULA	`Where records occur in A054269.`
	MATHEMATICA	`mx=0; n=0; t=Table[n++; While[p=Prime[n]; len=Length[Last[ContinuedFraction[Sqrt[p]]]]; len<=mx, n++ ]; mx=len; p, {50}]`
	CROSSREFS	`Cf. A003285, A013645.` `Sequence in context: A045331 A053613 A013645 this_sequence A038940 A019383 A156300` `Adjacent sequences: A130269 A130270 A130271 this_sequence A130273 A130274 A130275`
	KEYWORD	`nonn`
	AUTHOR	`T. D. Noe (noe(AT)sspectra.com), May 19 2007`

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Last modified December 10 12:37 EST 2009. Contains 170569 sequences.

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