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A059800 Smallest prime p such that the quotient-cycle length in continued fraction expansion of sqrt(p) is n: smallest prime p(m) for which A054269(m)=n. 2
2, 3, 41, 7, 13, 19, 73, 31, 113, 43, 61, 103, 193, 179, 109, 191, 157, 139, 337, 151, 181, 491, 853, 271, 457, 211, 1109, 487, 821, 379, 601, 463, 613, 331, 1061, 1439, 421, 619, 541, 1399, 1117, 571, 1153, 823, 1249, 739, 1069, 631, 1021, 1051, 1201 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

T. D. Noe, Table of n, a(n) for n = 1..2000

FORMULA

a(n) = Min{p|A054269(sequence number of p)=n; p is prime}.

EXAMPLE

The quotient-cycle length L=9=A054269(m) first appears for p(30)=113, so a(9)=113 namely, at first A054269(30)=9; a(A054269(30)) = p(30) = 113 = a(9). The quotient cycle with L=16 first emerges for sqrt(191) and it is: cfrac(sqrt(191), 'periodic', 'quotients')= [[13],[1,4,1,1,3,2,2,13,2 2,3,1,1,4,1,26]].

CROSSREFS

Cf. A054269.

Cf. A013646, A130272

Sequence in context: A288519 A240588 A013646 * A330293 A302687 A280893

Adjacent sequences:  A059797 A059798 A059799 * A059801 A059802 A059803

KEYWORD

nonn

AUTHOR

Labos Elemer, Feb 23 2001

STATUS

approved

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Last modified August 8 02:45 EDT 2020. Contains 336290 sequences. (Running on oeis4.)