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.

Showing 1-4 of 4 results.

A176927 Primes of the form 2^k + 35.

Original entry on oeis.org

37, 43, 67, 163, 547, 2083, 32803, 33554467, 8589934627, 144115188075855907, 166153499473114484112975882535043107, 10889035741470030830827987437816582766627, 784637716923335095479473677900958302012794430558004314147
Offset: 1

Views

Author

Vincenzo Librandi, Apr 29 2010

Keywords

Crossrefs

Cf. A000040, A220077 (corresponding k's).
Cf. Similar sequences listed in A243429.

Programs

  • Magma
    [a: n in [0..250] | IsPrime(a) where a is 2^n+35];
  • Mathematica
    Select[Table[2^n + 35, {n, 0, 300}], PrimeQ] (* Vincenzo Librandi, Dec 01 2012 *)

Formula

a(n) = 2^A220077(n) + 35. - Elmo R. Oliveira, Nov 08 2023

A243430 Primes of the form 2^n + 43.

Original entry on oeis.org

47, 59, 107, 4139, 16427, 65579, 262187, 16777259, 302231454903657293676587, 4835703278458516698824747, 20769187434139310514121985316880427
Offset: 1

Views

Author

Vincenzo Librandi, Jun 05 2014

Keywords

Comments

Associated n: 2, 4, 6, 12, 14, 16, 18, 24, 78, 82, 114, 234, 268, 286, ...

Crossrefs

Cf. similar sequences listed in A243429.

Programs

  • Magma
    [a: n in [0..500] | IsPrime(a) where a is 2^n+43];
  • Mathematica
    Select[Table[2^n + 43, {n, 0, 500}], PrimeQ]

A243431 Primes of the form 2^n + 45.

Original entry on oeis.org

47, 53, 61, 109, 173, 557, 1069, 8237, 65581, 134217773, 2147483693, 549755813933, 4835703278458516698824749, 19342813113834066795298861, 170141183460469231731687303715884105773, 2854495385411919762116571938898990272765493293
Offset: 1

Views

Author

Vincenzo Librandi, Jun 05 2014

Keywords

Comments

Associated n: 1, 3, 4, 6, 7, 9, 10, 13, 16, 27, 31, 39, 82, 84, 127, 151, 156, 163, 280, 306, ...

Crossrefs

Cf. similar sequences listed in A243429.

Programs

  • Magma
    [a: n in [0..500] | IsPrime(a) where a is 2^n+45];
  • Mathematica
    Select[Table[2^n + 45, {n, 0, 500}], PrimeQ]

A243432 Primes of the form 2^n + 47.

Original entry on oeis.org

79, 822752278660603021077484591278675252491367932816789931674304559
Offset: 1

Views

Author

Vincenzo Librandi, Jun 05 2014

Keywords

Comments

The next term has 316 digits (see b-file).
Associated n: 5, 209, 1049.
Also a probable prime for n = 8501 and no others below 10^5. - Jens Kruse Andersen, Jun 30 2014

Crossrefs

Cf. similar sequences listed in A243429.

Programs

  • Magma
    [a: n in [0..600] | IsPrime(a) where a is 2^n+47];
  • Mathematica
    Select[Table[2^n + 47, {n, 0, 600}], PrimeQ]
Showing 1-4 of 4 results.