A081506 Primes of the form 2^n + 3^n + 4^n.

3, 29, 353, 4889, 72353, 105312291668560568089831550410013687058921146068446092937783402353

Offset

1,1

Comments

The next term (a(7)) has 202 digits. - Harvey P. Dale, Aug 20 2015

Links

Table of n, a(n) for n=1..6.

Example

m=2: 2^2 + 3^2 + 4^2 = 4 + 9 + 16 = 29, which is prime.

Mathematica

Do[s=2^w+3^w+4^w; If[IntegerQ[w/100], Print[{w}]]; If[PrimeQ[s], Print[{w, s}]], {w, 0, 1000}]
Select[Table[2^n+3^n+4^n, {n, 0, 200}], PrimeQ] (* Harvey P. Dale, Aug 20 2015 *)

Crossrefs

Sequence in context: A323569 A049038 A091646 * A168127 A361220 A262640

Adjacent sequences: A081503 A081504 A081505 * A081507 A081508 A081509

Keyword

nonn

Author

Labos Elemer, Apr 15 2003

Status

approved