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 A257037 Numbers k such that 9*R_(k+2) - 7*10^k is prime, where R_k = 11...1 is the repunit (A002275) of length n. 0
 1, 8, 9, 14, 54, 80, 487, 551, 600, 2502, 2544, 5593, 7949, 8635, 13407, 31128, 45504, 45933, 52303, 65121, 167501, 359354, 1029523 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Also, numbers k such that 93*10^n - 1 is prime. Terms from Kamada. LINKS Makoto Kamada, Near-repdigit numbers of the form ABAA...AA. Makoto Kamada, Prime numbers of the form 9299...99. Predrag Kurtovic, 93*10^1029523 - 1, The 5000 Largest Known Primes. EXAMPLE For k = 8, 9*R_10 - 7*10^8 = 9999999999 - 700000000 = 9299999999 which is prime, so 8 is a term. MATHEMATICA Select[Range[0, 400000], PrimeQ[93*10^#-1 ] &] PROG (MAGMA) [n: n in [0..400] | IsPrime(93*10^n-1)]; // Vincenzo Librandi, Apr 15 2015 CROSSREFS Cf. A002275. Sequence in context: A213016 A105833 A323249 * A114305 A101765 A306490 Adjacent sequences:  A257034 A257035 A257036 * A257038 A257039 A257040 KEYWORD more,hard,nonn AUTHOR Robert Price, Apr 14 2015 EXTENSIONS a(23) from Predrag Kurtovic, Jan 29 2019 STATUS approved

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Last modified October 22 19:53 EDT 2019. Contains 328319 sequences. (Running on oeis4.)