A182282 -id:A182282 - cp's OEIS frontend

A182279 Numbers n such that 30n+{11, 13, 17, 19, 23} are 5 consecutive primes.

0, 3, 49, 535, 647, 700, 742, 1459, 1844, 4805, 5523, 5561, 6524, 6727, 7511, 8253, 8960, 10871, 11599, 12040, 13258, 15505, 17293, 17881, 21115, 21126, 22036, 25606, 26526, 27657, 28598, 29200, 31951, 33628, 34083, 35465, 35623, 36375, 39084, 39119, 40362

Offset: 1

Zak Seidov, Apr 23 2012

nonn

All terms are congruent to {0, 3} mod 7.

			a(3) = 49 = A014561(5), a(4) = 535 = A014561(15).

Zak Seidov, Table of n, a(n) for n = 1..1000

Subsequence of A014561.

Cf. A182282.

isok(n) = isprime(p=30*n+11) && ((q=nextprime(p+1))==(30*n+13)) && ((r=nextprime(q+1))==(30*n+17)) && ((s=nextprime(r+1))==(30*n+19)) && ((t=nextprime(s+1))==(30*n+23)); \\ Michel Marcus, Oct 19 2013

A182387 Numbers k such that 210*k+{11,13,17,19,23,29,31} are 7 consecutive primes.

Original entry on oeis.org

0, 789, 5089, 56669, 75048, 88116, 100172, 122183, 187771, 214298, 322935, 413420, 445838, 593886, 648863, 667224, 736358, 772329, 868588, 888020, 890616, 907211, 945016, 1052954, 1078331, 1106177, 1146724, 1223888, 1432230, 1452437, 1458355, 1509878, 1535216

Offset: 1

Zak Seidov, Apr 27 2012

nonn

Subsequence of A182282: a(2)=789=A182282(3), a(3)=5089=A182282(7), etc.

Zak Seidov, Table of n, a(n) for n = 1..1000

Cf. A014561, A182279, A182282.

Select[Range[0,1600000],And@@PrimeQ[210 #+{11,13,17,19,23,29,31}]&] (* Harvey P. Dale, Mar 04 2013 *)

A182393 Numbers n such that 210*n + {11,13,17,19,23,29,31,37} are 8 consecutive primes.

Original entry on oeis.org

0, 75048, 122183, 445838, 868588, 1078331, 3152249, 4337790, 4962337, 5101537, 5572485, 6638215, 6948906, 8155956, 8298280, 9217084, 9752564, 11416369, 13331645, 13539754, 17782872, 19480161, 25473918, 25614474, 26299945, 27593165, 28335777, 28906807, 29231650

Offset: 1

Zak Seidov, Apr 27 2012

nonn

Subsequence of A182387: a(2) = 75048 = A182387(5) = A182282(7), a(3) = 122183 = A182387(8) = A182282(29).

Zak Seidov, Table of n, a(n) for n = 1..1000

Cf. A014561, A022011, A022012, A022013, A182279, A182282, A182387.

a(n) = (A022011(n) - 11)/210. - Hugo Pfoertner, Nov 18 2022

A182450 Numbers n such that 210*n + {11,13,17,19,23,29,31,37,41} are 9 consecutive primes.

Original entry on oeis.org

0, 868588, 1078331, 4337790, 4962337, 6948906, 13539754, 30448177, 32218557, 39275297, 41670729, 52746284, 61193646, 81620584, 108499172, 118175956, 157531734, 198162240, 206181306, 208637331, 252388467, 258429278, 273526639, 305726202, 316425865, 383749862

Offset: 1

Zak Seidov, Apr 29 2012

nonn

Subsequence of A182393: a(2)=868588=A182393(5), a(3)=1078331=A182387(6).

Zak Seidov, Table of n, a(n) for n = 1..230

Cf. A014561, A182279, A182282, A182387, A182393.

cp's OEIS Frontend

A182279 Numbers n such that 30n+{11, 13, 17, 19, 23} are 5 consecutive primes.

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A182387 Numbers k such that 210*k+{11,13,17,19,23,29,31} are 7 consecutive primes.

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A182393 Numbers n such that 210*n + {11,13,17,19,23,29,31,37} are 8 consecutive primes.

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A182450 Numbers n such that 210*n + {11,13,17,19,23,29,31,37,41} are 9 consecutive primes.

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