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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 (list; graph; refs; listen; history; text; internal format)
 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

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Last modified June 22 03:55 EDT 2021. Contains 345367 sequences. (Running on oeis4.)