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A088732
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First prime in the arithmetic progression n+k*(n+1) with k>0.
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4
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2, 3, 5, 7, 19, 11, 13, 23, 17, 19, 43, 23, 103, 41, 29, 31, 67, 53, 37, 59, 41, 43, 137, 47, 149, 103, 53, 83, 173, 59, 61, 127, 131, 67, 139, 71, 73, 113, 233, 79, 163, 83, 257, 131, 89, 137, 281, 191, 97, 149, 101, 103, 211, 107, 109, 167, 113, 173, 353, 179
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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LINKS
| T. D. Noe, Table of n, a(n) for n = 0..10000
Index entries for sequences related to primes in arithmetic progressions
Eric Weisstein's World of Mathematics, Dirichlet's Theorem
Eric W. Weisstein, MathWorld: Linnik's Theorem
Wikipedia, Linnik's theorem
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EXAMPLE
| n=10, the progression starts: 10, 21, 32, 43, 54, 65, 76, 87, 98,
109, etc., 43 is the first prime: a(10)=43.
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MATHEMATICA
| Table[k = 1; While[p = n + k*(n + 1); ! PrimeQ[p], k++]; p, {n, 0, 100}] (* Frank M. Jackson, Oct 20 2011 *)
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CROSSREFS
| Cf. A088733.
Sequence in context: A071710 A048403 A000519 * A129693 A153590 A025019
Adjacent sequences: A088729 A088730 A088731 * A088733 A088734 A088735
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KEYWORD
| nonn
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AUTHOR
| Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Oct 12 2003
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