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

29, 31, 43, 283, 65563

Offset

1,1

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

Links

Table of n, a(n) for n=1..5.

Mathematica

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

Prog

(Magma) [a: n in [0..15] | IsPrime(a) where a is 2^(2^n)+27];
(PARI) for(n=0, 4, if(ispseudoprime(t=2^2^n+27), print1(t", "))) \\ 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).

Sequence in context: A069453 A104071 A288616 * A132240 A132243 A125523

Adjacent sequences: A273544 A273545 A273546 * A273548 A273549 A273550

Keyword

nonn

Author

Vincenzo Librandi, May 31 2016

Status

approved