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 A166252 Primes which are not the smallest or largest prime in an interval of the form (2*prime(k),2*prime(k+1)). 10
 71, 101, 109, 151, 181, 191, 229, 233, 239, 241, 269, 283, 311, 349, 373, 409, 419, 433, 439, 491, 571, 593, 599, 601, 607, 643, 647, 653, 659, 683, 727, 823, 827, 857, 941, 947, 991, 1021, 1031, 1033, 1051, 1061, 1063, 1091, 1103, 1301, 1373, 1427, 1429 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Called "central primes" in A166251, not to be confused with the central polygonal primes A055469. The primes tabulated in intervals (2*prime(k),2*prime(k+1)) are 5, k=1 7, k=2 11,13, k=3 17,19, k=4 23, k=5 29,31, k=6 37, k=7 41,43, k=8 47,53, k=9 59,61, k=10 67,71,73, k=11 79, k=12 83, k=13 89, k=14 97,101,103, k=15 and only rows with at least 3 primes contribute primes to the current sequence. For n >= 2, these are numbers of A164368 which are in A194598. - Vladimir Shevelev, Apr 27 2012 LINKS T. D. Noe, Table of n, a(n) for n = 1..1000 EXAMPLE Since 2*31 < 71 < 2*37 and the interval (62, 74) contains prime 67 < 71 and prime 73 > 71, then 71 is in the sequence. MATHEMATICA n = 0; t = {}; While[Length[t] < 100, n++; ps = Select[Range[2*Prime[n], 2*Prime[n+1]], PrimeQ]; If[Length[ps] > 2, t = Join[t, Rest[Most[ps]]]]]; t (* T. D. Noe, Apr 30 2012 *) CROSSREFS Cf. A166307, A166308, A166251, A164368, A104272, A080359, A164333, A164288, A164294, A164554, A194598. Sequence in context: A247200 A288907 A234962 * A339466 A339463 A166576 Adjacent sequences: A166249 A166250 A166251 * A166253 A166254 A166255 KEYWORD nonn AUTHOR Vladimir Shevelev, Oct 10 2009, Oct 14 2009 STATUS approved

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Last modified February 5 02:12 EST 2023. Contains 360082 sequences. (Running on oeis4.)