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 A102343 Numbers k such that k*10^3 + 777 is prime. 1
 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 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS From Ulrich Krug (leuchtfeuer37(AT)gmx.de), Apr 27 2009: (Start) The sequence is infinite by Dirichlet's theorem about primes in arithmetic progression. 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. (End) LINKS Harvey P. Dale, Table of n, a(n) for n = 1..1000 EXAMPLE k=1: 1*10^3 + 777 = 1777 is prime, hence 1 is in the sequence. k=50: 50*10^3 + 777 = 50777 is prime, hence 50 is in the sequence. k=97: 97*10^3 + 777 = 97777 is prime, hence 97 is in the sequence. MATHEMATICA Select[Range[300], PrimeQ[1000#+777]&] (* Harvey P. Dale, Jun 06 2022 *) PROG (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 CROSSREFS Cf. A157772, A102248, A159942. - Ulrich Krug (leuchtfeuer37(AT)gmx.de), Apr 27 2009 Sequence in context: A074926 A352932 A066144 * A023173 A018443 A163058 Adjacent sequences: A102340 A102341 A102342 * A102344 A102345 A102346 KEYWORD nonn,base,easy AUTHOR Parthasarathy Nambi, Feb 20 2005 EXTENSIONS 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 STATUS approved

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Last modified December 6 07:59 EST 2022. Contains 358605 sequences. (Running on oeis4.)