A082813 - OEIS

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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.

539633, 43909277783870034878569768760415886733743786946105343887995366054267119200102384004474562849 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,1`
	LINKS	`G. L. Honaker, Jr., 539633` `Hugo Pfoertner, Program and input files for PFGW.`
	EXAMPLE	`a(1) = 539633 = 2^12 + 2^12 + 3^12 and 223 = 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: A061730 A183650 A043636 * A204345 A043667 A126722` `Adjacent sequences: A082810 A082811 A082812 * A082814 A082815 A082816`
	KEYWORD	`nonn,hard,bref`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com), following a suggestion of G. L. Honaker, Jr., May 24 2003`
	EXTENSIONS	`a(2) and a(3) from Joshua Zucker (joshua.zucker(AT)stanfordalumni.org), May 24, 2003. Their primality was confirmed by Hugo Pfoertner (hugo(AT)pfoertner.org), May 24, 2003.` `No more terms with m < 822 - Edwin Clark (eclark(AT)math.usf.edu), May 24, 2003` `No more terms with m < 10000 - Joint effort of Hugo Pfoertner and Joshua Zucker, May 30, 2003`

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Last modified February 15 20:03 EST 2012. Contains 205852 sequences.