id:A108703 - OEIS Search Results

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Numbers n such that a^s + b^s + c^s + ... is prime, where a*b*c* ... is the prime factorization of n and s is the digital sum of n.

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10, 12, 22, 26, 40, 54, 99, 104, 117, 153, 178, 184, 210, 300, 350, 358, 368, 416, 424, 448, 464, 466, 500, 549, 603, 651, 810, 1020, 1100, 1116, 1143, 1190, 1380, 1528, 1629, 1726, 1816, 1860, 1926, 1952, 2001, 2097, 2220, 2400, 2439, 2523, 2536, 2613 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`959949 generates a prime with 227 digits: 3^45 + 3^45 + 106661^45.`
	EXAMPLE	`26 is in the sequence because 26 = 2*13 and 2^(2+6) + 13^(2+6) = 815730977, a prime.`
	CROSSREFS	`Cf. A082813, A007953.` `Sequence in context: A108965 A061870 A120001 this_sequence A098785 A022324 A084953` `Adjacent sequences: A108700 A108701 A108702 this_sequence A108704 A108705 A108706`
	KEYWORD	`base,easy,nonn`
	AUTHOR	`Jason Earls (zevi_35711(AT)yahoo.com), Jun 20 2005`

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Last modified December 8 08:31 EST 2009. Contains 170430 sequences.

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