id:A109279 - OEIS Search Results

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Numbers n such that a^d + b^d + c^d + ... is prime, where a*b*c* ... is the prime factorization of n and d is the largest digit of n.

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10, 11, 12, 14, 34, 40, 54, 56, 63, 101, 142, 176, 184, 232, 245, 279, 296, 300, 320, 325, 333, 376, 384, 432, 475, 500, 504, 561, 567, 568, 595, 640, 651, 657, 664, 714, 768, 778, 780, 792, 796, 824, 864, 867, 972, 1001, 1016, 1020, 1042, 1048, 1110, 1112 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`1118092 generates a 50 digit prime: 2^9 + 2^9 + 279523^9.`
	EXAMPLE	`34 is in the sequence because 34=2*17 and 2^4 + 17^4 = 83537, a prime.`
	CROSSREFS	`Cf. A082813, A109280.` `Sequence in context: A098945 A046431 A108697 this_sequence A154770 A098395 A154328` `Adjacent sequences: A109276 A109277 A109278 this_sequence A109280 A109281 A109282`
	KEYWORD	`base,easy,nonn`
	AUTHOR	`Jason Earls (zevi_35711(AT)yahoo.com), Jun 24 2005`

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Last modified November 27 14:34 EST 2009. Contains 167570 sequences.

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