A118612 - OEIS

This site is supported by donations to The OEIS Foundation.

A118612

Denominator if the numerator and denominator of the continued fraction rational approximation of sqrt(2) are both prime.

2, 5, 29, 44560482149, 13558774610046711780701 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,1`
	COMMENTS	`Next term, if it exists, is bigger than 489 digits (the 1279th convergent to sqrt(2)).`
	MATHEMATICA	`For[n = 2, n < 1500, n++, a := Join[{1}, Table[2, {i, 2, n}]]; If[PrimeQ[Denominator[FromContinuedFraction[a]]], If[PrimeQ[Numerator[FromContinuedFraction[a]]], Print[Denominator[FromContinuedFraction[a]]]]]] - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), May 09 2006`
	CROSSREFS	`A086397 has the numerators. This sequence is a subsequence of A000129, A086383 and A101411.` `Sequence in context: A073833 A179554 A086383 * A187628 A158866 A101078` `Adjacent sequences: A118609 A118610 A118611 * A118613 A118614 A118615`
	KEYWORD	`frac,nonn`
	AUTHOR	`Joshua Zucker (joshua.zucker(AT)stanfordalumni.org), May 08 2006`

Content is available under The OEIS End-User License Agreement .

Last modified February 17 04:58 EST 2012. Contains 205985 sequences.