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 A174641 Smallest prime that begins a run of n consecutive primes that are not Ramanujan primes. 9
 3, 3, 3, 73, 191, 191, 509, 2539, 2539, 5279, 9901, 9901, 9901, 11593, 11593, 55343, 55343, 55343, 55343, 55343, 174929, 174929, 174929, 225977, 225977, 225977, 225977, 225977, 534889, 534889, 534889, 534889, 534889, 534889, 534889, 534889, 2492317, 2492317 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS The run of 10 consecutive non-Ramanujan primes was mentioned by Sondow. LINKS T. D. Noe and Dana Jacobsen, Table of n, a(n) for n = 1..107 (first 67 terms from Noe) J. Sondow, Ramanujan primes and Bertrand's postulate, arXiv:0907.5232 [math.NT], 2009-2010. J. Sondow, Ramanujan primes and Bertrand's postulate, Amer. Math. Monthly, 116 (2009) 630-635. J. Sondow, J. W. Nicholson, and T. D. Noe, Ramanujan Primes: Bounds, Runs, Twins, and Gaps, arXiv:1105.2249 [math.NT], 2011. J. Sondow, J. W. Nicholson, and T. D. Noe, Ramanujan Primes: Bounds, Runs, Twins, and Gaps, J. Integer Seq. 14 (2011) Article 11.6.2. MATHEMATICA nn=10000; t=Table[0, {nn}]; len=Prime[3*nn]; s=0; Do[If[PrimeQ[k], s++]; If[PrimeQ[k/2], s--]; If[s() < \$q;   say ++\$max, " ", next_prime(\$p)   while \$k > \$max; } # Dana Jacobsen, Jul 14 2016 CROSSREFS Cf. A104272 (Ramanujan primes), A174635 (non-Ramanujan primes). Cf. A174602 (runs of Ramanujan primes). Cf. A202187, A202188. Sequence in context: A174538 A340821 A091323 * A217671 A118539 A015665 Adjacent sequences:  A174638 A174639 A174640 * A174642 A174643 A174644 KEYWORD nonn AUTHOR T. D. Noe, Nov 29 2010 STATUS approved

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Last modified December 2 00:55 EST 2021. Contains 349435 sequences. (Running on oeis4.)