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 A202116 Numbers n such that 90n + 89 is prime. 2
 0, 1, 2, 3, 4, 7, 8, 13, 15, 17, 18, 20, 21, 22, 25, 28, 29, 30, 31, 32, 36, 41, 44, 45, 46, 48, 51, 55, 58, 59, 62, 64, 65, 66, 69, 70, 72, 73, 77, 78, 83, 84, 86, 87, 88, 92, 97, 99, 105, 106, 107, 111, 112, 113, 116, 118, 119, 120, 121, 122, 123, 127, 129 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS This sequence was generated by adding 12 Fibonacci-like sequences [See: PROG?]. Looking at the format 90n+89 modulo 9 and modulo 10 we see that all entries of A142335 have digital root 8 and last digit 9. (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 89*91, 19*71, 37*17, 73*53, 11*49, 29*31, 47*67, 83*13, 23*43, 41*79, 59*61, 77*7. LINKS MATHEMATICA Select[Range[0, 200], PrimeQ[90 # + 89] &] PROG (PARI) is(n)=isprime(90*n+89) \\ Charles R Greathouse IV, Jun 06 2017 CROSSREFS Cf. A181732, A198382, A195993, A196000, A196007, A201739, A201734, A201804, A201816, A201817, A201818, A201820, A201822, A202101, A202104, A202105, A202110, A202112, A202113, A202114, A202115. Sequence in context: A301806 A066847 A057887 * A215914 A006049 A084541 Adjacent sequences:  A202113 A202114 A202115 * A202117 A202118 A202119 KEYWORD nonn,easy AUTHOR J. W. Helkenberg, Dec 11 2011 STATUS approved

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Last modified August 14 19:45 EDT 2020. Contains 336483 sequences. (Running on oeis4.)