A273547 Primes of the form 2^(2^n) + 27.

29, 31, 43, 283, 65563

Offset: 1

Author

Vincenzo Librandi, May 31 2016

Keywords

• nonn

Comments

Terms given correspond to n = 0, 1, 2, 3, and 4.

Next term >= 18.

Next term >= 2^2^22 + 27. - Charles R Greathouse IV, Jun 06 2016

Crossrefs

Cf. primes of the form 2^(2^n)+k: A160027 (k=15), this sequence (k=27), A160029 (k=51), A160028 (k=81), A160032 (k=93), A273548 (k=163), A273549 (k=165), A273550 (k=177), A273551 (k=253), A273552 (k=267), A273804 (k=301), A273805 (k=331), A273806 (k=357), A160030 (k=385), A273807 (k=427), A273808 (k=463), A273809 (k=487), A273810 (k=597), A160033 (k=757), A273811 (k=805), A160034 (k=807).

Programs

Magma

[a: n in [0..15] | IsPrime(a) where a is 2^(2^n)+27];

Mathematica

Select[Table[2^(2^n) + 27, {n, 0, 20}], PrimeQ]

PARI

for(n=0,4, if(ispseudoprime(t=2^2^n+27), print1(t", "))) \\ Charles R Greathouse IV, Jun 06 2016