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Search: id:A082101
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| A082101 |
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Primes of form 2^k+3^k. |
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+0
26
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OFFSET
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1,1
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COMMENT
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Next term, if it exists, is > 10^125074. - David Wasserman (wasserma(AT)spawar.navy.mil), Aug 13 2004
Since x+y is a factor of x^m+y^m if m is odd, 2^m+3^m is divisible by 2+3=5 unless m is zero or a power of 2. This is similar to Fermat numbers 1+2^m. - Michael Somos, Aug 27 2004
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EXAMPLE
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m=0: 1+1, m=1: 2+3, m=2: 4+9, m=4: 16+81
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MATHEMATICA
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a={}; Do[If[PrimeQ[p=2^n+3^n], AppendTo[a, p]], {n, 0, 10^3}]; a [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Aug 07 2008]
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CROSSREFS
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Cf. A094474-A094499.
Adjacent sequences: A082098 A082099 A082100 this_sequence A082102 A082103 A082104
Sequence in context: A075742 A075737 A100843 this_sequence A090472 A120266 A065797
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KEYWORD
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more,nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Apr 14 2003
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