A081505 Primes of form 4^n+3^n.

2, 7, 337, 4338014017

Offset: 1

Author

Labos Elemer, Apr 15 2003

Keywords

• nonn

Examples

			m=4: 4^4+3^4=256+81=337 prime.
Exponents for first 4 terms are {0,1,4,16}.
		

Links

• Bogley, William A.; Williams, Gerald Efficient finite groups arising in the study of relative asphericity. Math. Z. 284, No. 1-2, 507-535 (2016).

Programs

Mathematica

Do[s=3^w+4^w; If[IntegerQ[w/100], Print[{w}]]; If[PrimeQ[s], Print[{w, s}]], {w, 0, 3400}]
Do[ If[ PrimeQ[3^n+4^n], Print[3^n+4^n]], {n, 0, 10000}]
Select[Table[4^n+3^n,{n,0,20}],PrimeQ] (* Harvey P. Dale, Mar 07 2017 *)

Extensions

a(5)>10^10000, so the next term (if it exists) is too large to include.