id:A051308 - OEIS Search Results

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Euclid-Mullin sequence (A000945) with initial value a(1)=5 instead of a(1)=2.

+0
39

5, 2, 11, 3, 331, 19, 199, 53, 21888927391, 29833, 101, 71, 23, 311, 7, 72353, 13, 227, 96014559769, 5641, 41, 82107739003, 67, 169637539, 61, 29, 31319, 17, 97, 238591921, 313, 102065429, 157, 37, 595553520313, 244217, 241 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`The initial primes 3 and 7 give essentially A000945.`
	EXAMPLE	`52113+1=331 prime, the least prime factor 330331+1=109231=19*5749, so a[ 6 ]=19`
	MATHEMATICA	`a[ n_+1 ] := First[ Flatten[ FactorInteger[ 1+Product[ a[ j ], {j, 1, n} ] ] ] ]`
	CROSSREFS	`Cf. A000945, A000946, A005265, A005266.` `Sequence in context: A094683 A094685 A095396 this_sequence A074642 A131784 A065268` `Adjacent sequences: A051305 A051306 A051307 this_sequence A051309 A051310 A051311`
	KEYWORD	`nonn`
	AUTHOR	`Labos E. (labos(AT)ana.sote.hu)`

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Last modified July 8 18:40 EDT 2008. Contains 141013 sequences.

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