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A082101
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Primes of form 2^k+3^k.
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31
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OFFSET
| 1,1
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COMMENTS
| 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
| m=0: 1+1, m=1: 2+3, m=2: 4+9, m=4: 16+81
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MATHEMATICA
| 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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PROG
| (PARI) print1(2); for(n=0, 99, if(ispseudoprime(t=2^(2^n)+3^(2^n)), print1(", "t))) \\ Charles R Greathouse IV, Jul 19 2011
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CROSSREFS
| Cf. A094474-A094499.
Sequence in context: A075742 A075737 A100843 * A158712 A090472 A120266
Adjacent sequences: A082098 A082099 A082100 * A082102 A082103 A082104
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KEYWORD
| nonn
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AUTHOR
| Labos E. (labos(AT)ana.sote.hu), Apr 14 2003
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