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 A164371 The smaller members of twin prime pairs which are non-Ramanujan primes. 6
 3, 5, 137, 191, 197, 521, 617, 1319, 1619, 1697, 1931, 1949, 2111, 2549, 2591, 2969, 3119, 3329, 3389, 3557, 3929, 4157, 4217, 4271, 4517, 5279, 5417, 7331, 7349, 7757, 8009, 8429, 8837, 9011, 9281, 9437, 9857, 9929, 10007, 10037, 10457, 10529, 10859 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS The terms greater than 5 of the sequence are in A164288. LINKS Dana Jacobsen, Table of n, a(n) for n = 1..10000 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 FORMULA A001359 \ A104272. - R. J. Mathar, Sep 17 2009 MATHEMATICA nn = 1000; A001359 = Select[Prime[Range[2 nn]], PrimeQ[# + 2] &]; R = Table[0, {nn}]; s = 0; Do[If[PrimeQ[k], s++]; If[PrimeQ[k/2], s--]; If[s < nn, R[[s + 1]] = k], {k, Prime[3 nn]}]; A104272 = R + 1; Complement[A001359, A104272] (* Jean-François Alcover, Oct 28 2018, after T. D. Noe in A104272 *) PROG (Perl) use ntheory ":all"; for (@{twin_primes(1e4)}) { say if !is_ramanujan_prime(\$_) } # Dana Jacobsen, Dec 30 2015 CROSSREFS Cf. A104272, A001359, A164288, A164554 Sequence in context: A180541 A103993 A088269 * A225672 A355803 A240125 Adjacent sequences: A164368 A164369 A164370 * A164372 A164373 A164374 KEYWORD nonn AUTHOR Vladimir Shevelev, Aug 14 2009, Aug 17 2009 EXTENSIONS Extended by R. J. Mathar, Sep 17 2009 STATUS approved

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Last modified April 1 09:24 EDT 2023. Contains 361688 sequences. (Running on oeis4.)