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Search: id:A095392
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| A095392 |
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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. |
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+0
2
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| 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; listen)
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OFFSET
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1,2
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FORMULA
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Solutions to A095390[x]>24=phi[210].
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EXAMPLE
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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}.
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MATHEMATICA
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{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}]
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CROSSREFS
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Cf. A095389-A095391.
Sequence in context: A122526 A120401 A127034 this_sequence A140401 A138389 A032963
Adjacent sequences: A095389 A095390 A095391 this_sequence A095393 A095394 A095395
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KEYWORD
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nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Jun 16 2004
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