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Search: id:A107426
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| A107426 |
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Prime numbers n such that sum of terms of continued fraction for prime(n)/n is prime. |
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+0
1
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| 2, 5, 7, 13, 17, 23, 31, 37, 41, 47, 71, 73, 89, 101, 109, 131, 197, 211, 271, 283, 367, 379, 443, 457, 461, 599, 661, 743, 773, 821, 823, 827, 911, 929, 941, 971, 977, 983, 991, 1013, 1033, 1051, 1093, 1163, 1181, 1237, 1259, 1289, 1291, 1307, 1321, 1409
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Prime numbers appearing in A107898.
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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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bb={}; Do[n=Prime[m]; If[PrimeQ[Plus@@ContinuedFraction[Prime[n]/n]], bb=Append[bb, n]], {m, 300}]; bb
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CROSSREFS
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Cf. A107898, A107899, A107900, A107901.
Sequence in context: A023240 A023204 A045352 this_sequence A144256 A082555 A160794
Adjacent sequences: A107423 A107424 A107425 this_sequence A107427 A107428 A107429
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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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