

A082813


Prime numbers of form a^m + b^m + c^m + ..., where a*b*c* ... is the prime factorization of m.


10




OFFSET

1,1


LINKS

Hugo Pfoertner, Table of n, a(n) for n = 1..3
G. L. Honaker, Jr., 539633
Hugo Pfoertner, Program and input files for PFGW.


EXAMPLE

a(1) = 539633 = 2^12 + 2^12 + 3^12 and 2*2*3 = 12. a(2) is 2^88 + 2^88 + 2^88 + 11^88; a(3) is 3^207 + 3^207 + 23^207.


CROSSREFS

Cf. A082814 for values of m.
Sequence in context: A237323 A251355 A043636 * A204345 A269323 A043667
Adjacent sequences: A082810 A082811 A082812 * A082814 A082815 A082816


KEYWORD

nonn,hard,bref


AUTHOR

N. J. A. Sloane, following a suggestion of G. L. Honaker, Jr., May 24 2003


EXTENSIONS

a(2) and a(3) from Joshua Zucker, May 24 2003. Their primality was confirmed by Hugo Pfoertner, May 24 2003.
No more terms with m < 822  W. Edwin Clark, May 24 2003
No more terms with m < 10000  Joint effort of Hugo Pfoertner and Joshua Zucker, May 30 2003
No more terms with m < 25500  Martin Renner, Jan 31 2012


STATUS

approved



