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A082813
Prime numbers of form a^m + b^m + c^m + ..., where a*b*c* ... is the prime factorization of m.
10
539633, 43909277783870034878569768760415886733743786946105343887995366054267119200102384004474562849
OFFSET
1,1
COMMENTS
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
LINKS
G. L. Honaker, Jr., 539633
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
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.
STATUS
approved