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A129919
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a(n) is the smallest prime of the form b*prime(n+1) + prime(n) with b > 0.
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1
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5, 13, 19, 29, 37, 47, 131, 157, 139, 277, 179, 283, 127, 137, 577, 643, 181, 463, 919, 509, 389, 577, 439, 283, 1511, 307, 317, 761, 787, 367, 389, 953, 971, 1033, 3169, 1093, 809, 1499, 859, 3037, 541, 563, 577, 587, 1789, 2309, 1103, 677, 1601, 1627
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Dirichlet's theorem ensures that there always exists such a smallest prime because two primes are always coprime.
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EXAMPLE
| a(2) is the smallest prime of the form 5*b+3 and b > 0. Hence a(2) = 13.
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MAPLE
| a[n_] := Module[{k}, k = 1; While[Not[PrimeQ[k*Prime[n + 1] + Prime[n]]], k++ ]; k*Prime[n + 1] + Prime[n]]; Table[a[i], {i, 1, 50}]
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CROSSREFS
| Sequence in context: A084442 A023270 A103804 * A045454 A166575 A002540
Adjacent sequences: A129916 A129917 A129918 * A129920 A129921 A129922
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KEYWORD
| nonn,less
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AUTHOR
| J. M. Bergot (thekingfishb(AT)yahoo.ca), Jun 05 2007
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EXTENSIONS
| Edited and extended by Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Jul 16 2007
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