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A118612 Denominator if the numerator and denominator of the continued fraction rational approximation of sqrt(2) are both prime. 3
2, 5, 29, 44560482149, 13558774610046711780701 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Next term, if it exists, is bigger than 489 digits (the 1279th convergent to sqrt(2)).
LINKS
Andrej Dujella, Mirela Jukić Bokun, Ivan Soldo, A Pellian equation with primes and applications to D(-1)-quadruples, arXiv:1706.01959 [math.NT], 2017.
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, May 09 2006 *)
CROSSREFS
A086397 has the numerators. This sequence is a subsequence of A000129, A086383 and A101411.
Sequence in context: A229918 A179554 A086383 * A187628 A158866 A101078
KEYWORD
frac,nonn
AUTHOR
Joshua Zucker, May 08 2006
STATUS
approved

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Last modified March 28 05:39 EDT 2024. Contains 371235 sequences. (Running on oeis4.)