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A102343
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Numbers n such that n*10^3+777 is prime.
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0
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1, 2, 11, 19, 22, 26, 41, 43, 44, 47, 50, 53, 65, 67, 68, 71, 76, 79, 80, 83, 94, 97, 107, 110, 113, 115, 122, 124, 125, 131, 134, 136, 137, 145, 146, 152, 155, 158, 167, 169, 170, 173, 176, 181, 184, 199, 202, 211, 212, 226, 229, 232, 233, 250, 253, 254, 268, 272, 274, 281, 284, 286, 292, 295, 298, 299
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OFFSET
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1,2
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COMMENTS
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The sequence is infinite, because by Dirichlet's theorem there are infinitely many primes in the arithmetic sequence A*n+B (n=1,2,...) if A an B are relatively prime. [Ulrich Krug (leuchtfeuer37(AT)gmx.de), Apr 27 2009]
No term of the sequence is of form 3k, because the sum of digits of 10^3*3k+333=3*(10^3+259) is divisible by 3, violating the requirement of the definition. [Ulrich Krug (leuchtfeuer37(AT)gmx.de), Apr 27 2009]
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LINKS
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Table of n, a(n) for n=1..66.
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EXAMPLE
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n=1: 1*10^3+777 = 1777 is prime, hence 1 is in the sequence.
n=50: 50*10^3+777 = 50777 is prime, hence 50 is in the sequence.
n=97: 97*10^3+777 = 97777 is prime, hence 97 is in the sequence.
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PROG
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(MAGMA) [ n: n in [0..300] | IsPrime(n*10^3+777) ];
(PARI) is(n)=isprime(n*10^3+777) \\ Charles R Greathouse IV, Jun 13 2017
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CROSSREFS
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Cf. A157772, A102248, A159942. [Ulrich Krug (leuchtfeuer37(AT)gmx.de), Apr 27 2009]
Sequence in context: A121848 A074926 A066144 * A023173 A018443 A163058
Adjacent sequences: A102340 A102341 A102342 * A102344 A102345 A102346
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KEYWORD
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nonn,base,easy
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AUTHOR
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Parthasarathy Nambi, Feb 20 2005
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EXTENSIONS
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Extended by Ulrich Krug (leuchtfeuer37(AT)gmx.de), Apr 27 2009
Edited by R. J. Mathar, Apr 30 2009
More terms from Vincenzo Librandi, May 01 2009
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STATUS
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approved
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