login
This site is supported by donations to The OEIS Foundation.
Logo

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A082101 Primes of form 2^k+3^k. 31
2, 5, 13, 97 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

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

EXAMPLE

m=0: 1+1, m=1: 2+3, m=2: 4+9, m=4: 16+81

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]

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

CROSSREFS

Cf. A094474-A094499.

Sequence in context: A075742 A075737 A100843 * A158712 A090472 A120266

Adjacent sequences:  A082098 A082099 A082100 * A082102 A082103 A082104

KEYWORD

nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu), Apr 14 2003

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
Recent Additions | More pages | Superseeker | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .

Last modified February 17 00:09 EST 2012. Contains 205978 sequences.