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A081505
Primes of form 4^n+3^n.
2
2, 7, 337, 4338014017
OFFSET
1,1
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).
EXAMPLE
m=4: 4^4+3^4=256+81=337 prime.
Exponents for first 4 terms are {0,1,4,16}.
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 *)
CROSSREFS
Sequence in context: A048122 A144787 A118910 * A176748 A262088 A110386
KEYWORD
nonn
AUTHOR
Labos Elemer, Apr 15 2003
EXTENSIONS
a(5)>10^10000, so the next term (if it exists) is too large to include.
STATUS
approved