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Search: id:A059800
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| A059800 |
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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. |
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1
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| 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; listen)
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OFFSET
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1,1
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LINKS
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T. D. Noe, Table of n, a(n) for n=1..2000
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FORMULA
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a(n)=Min{p|A054269(sequence number of p)=n; p is prime}
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EXAMPLE
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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]]
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CROSSREFS
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Cf. A054269.
Cf. A013646, A130272
Sequence in context: A157132 A077336 A013646 this_sequence A094714 A042475 A123993
Adjacent sequences: A059797 A059798 A059799 this_sequence A059801 A059802 A059803
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KEYWORD
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nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Feb 23 2001
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