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A186398
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Numbers k such that there are 6 primes between 100*k and 100*k + 99.
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1
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186, 234, 319, 332, 340, 380, 384, 443, 444, 450, 469, 489, 542, 548, 554, 574, 611, 632, 645, 681, 683, 696, 716, 725, 731, 746, 749, 754, 805, 814, 829, 859, 873, 897, 907, 956, 963, 966, 977, 1000, 1008, 1027, 1044, 1050
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OFFSET
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1,1
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COMMENTS
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There are 830270 possible prime patterns for centuries having 6 primes. - Tim Johannes Ohrtmann, Aug 27 2015
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LINKS
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EXAMPLE
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186 is in this sequence because there are 6 primes between 18600 and 18699 (18617, 18637, 18661, 18671, 18679 and 18691).
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MATHEMATICA
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Select[Range[1100], PrimePi[100#+99]-PrimePi[100#]==6&] (* Harvey P. Dale, Jun 24 2018 *)
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PROG
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(PARI) for(n=1, 1e6, if(sum(k=100*n, 100*(n+1), ispseudoprime(k))==6, print1(n", "))); \\ Charles R Greathouse IV, Feb 21 2011
(PARI) N=100; s=0; forprime(p=2, 1e6, if(p>N, if(s==6, print1((N\100)-1, ", ")); s=1; N=100*(p\100+1), s++)) \\ Charles R Greathouse IV, Feb 21 2011
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CROSSREFS
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Cf. A038822 (number of primes between 100n and 100n+99), A186311 (first occurrences).
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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