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 A202129 Numbers n such that 90n + 71 is prime. 1
 0, 2, 4, 5, 7, 9, 10, 11, 12, 16, 17, 20, 23, 26, 28, 31, 33, 35, 38, 39, 40, 41, 42, 46, 48, 49, 52, 54, 55, 59, 60, 62, 63, 66, 67, 72, 76, 77, 82, 83, 87, 89, 90, 101, 103, 104, 105, 108, 111, 112, 114, 117, 118, 119, 125, 126, 129, 133, 137, 138, 140 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS This sequence was generated by adding 12 Fibonacci-like sequences [See: PROG?]. Looking at the format 90n+71 modulo 9 and modulo 10 we see that all entries of A142325 have digital root 8 and last digit 1. (Reverting the process is an application of the Chinese remainder theorem.) The 12 Fibonacci-like sequences are generated (via the p and q "seed" values entered into the Perl program) from the base p,q pairs 71*91, 19*89, 37*53, 73*13, 11*31, 29*49, 47*13, 83*67, 23*7, 41*61, 59*79, 77*43. LINKS Table of n, a(n) for n=1..61. MATHEMATICA Select[Range[0, 200], PrimeQ[90 # + 71] &] PROG (PARI) is(n)=isprime(90*n+71) \\ Charles R Greathouse IV, Jun 13 2017 CROSSREFS Cf. A181732, A198382, A195993, A196000, A196007, A201739, A201734, A201804, A201816, A201817, A201818, A201820, A201822, A202101, A202104, A202105, A202110, A202112, A202113, A202114, A202115, A202116. Sequence in context: A140204 A353926 A084577 * A288217 A026457 A185598 Adjacent sequences: A202126 A202127 A202128 * A202130 A202131 A202132 KEYWORD nonn,easy AUTHOR J. W. Helkenberg, Dec 11 2011 STATUS approved

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Last modified July 15 12:56 EDT 2024. Contains 374332 sequences. (Running on oeis4.)