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Search: id:A107899
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| A107899 |
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Numbers n such that sum of terms of continued fraction for prime(n)/n is prime. |
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+0
5
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| 1, 2, 4, 5, 7, 8, 13, 14, 16, 17, 20, 22, 23, 24, 31, 32, 37, 41, 44, 47, 49, 50, 63, 68, 69, 71, 73, 78, 81, 82, 84, 86, 89, 93, 98, 101, 109, 111, 119, 121, 126, 130, 131, 132, 135, 138, 142, 143, 145, 150, 164, 169, 175, 176, 189, 190, 197, 201, 202, 205, 211, 214
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Indices of primes occurring in A107900.
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LINKS
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Eric Weisstein's World of Mathematics, Continued Fraction.
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EXAMPLE
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17 is OK because 17th prime is 59, 59/17 = 3 +1/(2+1/8), terms of continued fraction is {3, 2, 8) and sum of terms is prime number 13.
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MATHEMATICA
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s={}; Do[If[PrimeQ[Plus@@ContinuedFraction[Prime[n]/n]], s=Append[s, n]], {n, 300}]; A107899=s
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CROSSREFS
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Cf. A107898, A107899, A107901.
Sequence in context: A114147 A025516 A072920 this_sequence A032924 A005125 A082672
Adjacent sequences: A107896 A107897 A107898 this_sequence A107900 A107901 A107902
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KEYWORD
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nonn
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AUTHOR
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Zak Seidov (zakseidov(AT)yahoo.com), May 26 2005
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