continuation of a sequence

[N. J. A. Sloane]

Thanks to everyone who responded.  Here is the result:

%I A082813
%S A082813 539633,
%T A082813 43909277783870034878569768760415886733743786946105343887995366054267119200102384004474562849
%N A082813 Prime numbers of form a^m + b^m + c^m + ... , where a*b*c* ... is the prime factorization of m.
%H A082813 G. L. Honaker, Jr., <a href="http://primes.utm.edu/curios/page.php?short=539633">539633</a>
%O A082813 1,1
%K A082813 nonn
%Y A082813 Cf. A082814 for values of m.
%e A082813 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.
%A A082813 njas, following a suggestion of G. L. Honaker, Jr., May 24 2003
%E A082813 More terms from Joshua Zucker (joshua.zucker at stanfordalumni.org), May 24, 2003. Their primality was confirmed by Hugo Pfoertner (all(AT)abouthugo.de), May 24, 2003.

%I A082814
%S A082814 12,88,207
%N A082814 Values of m associated with A082813.
%O A082814 1,1
%K A082814 nonn,bref,more
%Y A082814 Cf. A082813.
%A A082814 njas, May 24 2003

NJAS