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 A095392 Numbers n such that more than half of the reduced-residue system modulo 210 consists of primes in the following sense: in {210n + R} more than 24 = phi(210)/2 primes occur, i.e., 25-33, 35, 46. 1
 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 16, 17, 20, 22, 23, 26, 27, 29, 31, 36, 41, 44, 46, 48, 56, 59, 70, 72, 74, 95, 109, 113, 114, 127, 132, 136, 148, 312, 321, 347, 428, 506, 538, 551, 1274, 1296, 1442, 2875, 4576, 5504, 6928, 7870, 12880, 15745, 17518 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Table of n, a(n) for n=1..59. FORMULA Solutions to A095390(x) > 24 = phi(210). EXAMPLE 210n + r, where r runs through RRS of 210 corresponds to prime-difference patterns with several relatively small first prime differences. n=18543: 210*18543 + r includes 26 primes with the following difference pattern: {2,4,2,4,30,18,2,10,6,12,2,18,6,10,2,12,12,4,6,8,6,6,4,2,10}. MATHEMATICA {k=0}; Do[{m=0}; Do[s=210k+r; s1=210k+r+2; If[PrimeQ[s], m=m+1], {r, 1, 210}]; If[Greater[m, 24], Print[{m, k}]], {k, 0, 10000000}] CROSSREFS Cf. A095389, A095390, A095391. Sequence in context: A127034 A348960 A367613 * A232528 A254075 A140401 Adjacent sequences: A095389 A095390 A095391 * A095393 A095394 A095395 KEYWORD nonn AUTHOR Labos Elemer, Jun 16 2004 STATUS approved

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Last modified September 18 21:47 EDT 2024. Contains 376002 sequences. (Running on oeis4.)