id:A121819 - OEIS Search Results

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Minimal number m such that Sum[ Prime[k]^n, {k,1,m} ] is prime.

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1, 2, 4, 2, 66, 26, 6, 18, 8, 126, 48, 38, 144, 696, 38, 234, 666, 60, 4, 228, 216, 212, 168, 290, 6, 702, 14, 78, 120, 614, 222, 44, 104, 66, 58, 54, 152, 260, 858, 74, 108, 164, 336, 152, 424, 60, 118, 1154, 112, 14, 1530, 14, 296, 654, 1782, 474, 444, 462, 1338, 468 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`a(1) = 1 because 2 = 2^1 is prime. a(2) = 2 because 13 = 2^2 + 3^2 is prime but 2^2 is not prime. a(3) = 4 because 503 = 2^3 + 3^3 + 5^3 + 7^3 is prime but 8 = 2^3, 35 = 2^3 + 3^3, 160 = 2^3 + 3^3 + 5^3 are not prime.`
	CROSSREFS	`Sequence in context: A006496 A130172 A029589 this_sequence A134138 A048644 A106137` `Adjacent sequences: A121816 A121817 A121818 this_sequence A121820 A121821 A121822`
	KEYWORD	`nonn`
	AUTHOR	`Alexander Adamchuk (alex(AT)kolmogorov.com), Aug 26 2006`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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