cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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A224856 Numbers n such that 90*n + 29 and 90*n + 31 are twin primes.

Original entry on oeis.org

0, 6, 7, 11, 14, 28, 30, 33, 37, 39, 47, 53, 61, 65, 74, 75, 76, 77, 84, 88, 91, 110, 128, 139, 152, 158, 170, 179, 180, 194, 195, 201, 215, 216, 228, 229, 251, 271, 282, 305, 308, 312, 334, 336, 345, 362, 366, 368, 370, 373, 383, 384, 410, 411, 413, 427, 450
Offset: 1

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Author

J. W. Helkenberg, Jul 22 2013

Keywords

Crossrefs

Programs

  • Maple
    a:= proc(n) option remember; local k; for k from 1+
           `if`(n=1, -1, a(n-1)) while not (isprime(29+(90*k))
            and isprime(31+(90*k))) do od; k
        end:
    seq(a(n), n=1..100);  # Alois P. Heinz, Jul 23 2013
  • Mathematica
    Select[Range[0, 499], PrimeQ[90# + 29] && PrimeQ[90# + 31] &] (* copied from: Alonso del Arte, Jul 22 2013 *)

Formula

A201739 INTERSECT A201819.

A255345 Numbers n such that 90n + 31 is a Mersenne prime.

Original entry on oeis.org

0, 1456, 6877444662696557082772912, 76275529557006774610910008878682146858549281112703393437716260657617146482196178356917329340682828388636625682127565089301355422219073820139711425456833968
Offset: 1

Views

Author

J. W. Helkenberg, Feb 21 2015

Keywords

Comments

Always an even number. Aside from the first term, appears to always have a last digit of 2, 4, 6 or 8. n for M3, M6, M10 and M13 are represented here, while n for M19, M21, M22 are too large for this list.

Crossrefs

Cf. A000668. Subsequence of A201819. Shares at least one term (0) with A224856.
Showing 1-2 of 2 results.