id:A051342 - OEIS Search Results

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Smallest prime factor of 1 + (product of first n primes).

+0
9

3, 7, 31, 211, 2311, 59, 19, 347, 317, 331, 200560490131, 181, 61, 167, 953, 73, 277, 223, 54730729297, 1063, 2521, 22093, 265739, 131, 2336993, 960703, 2297, 149, 334507, 5122427, 1543, 1951, 881, 678279959005528882498681487, 87549524399 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`Based on Euclid's proof that there are infinitely many primes.`
	LINKS	`Hisanori Mishima, Factorizations of many number sequences` `Hisanori Mishima, Factorizations of many number sequences` `R. G. Wilson v, Explicit factorizations`
	CROSSREFS	`a(n) = A020639(1+A002110(n)). Cf. A014545, A002585.` `Adjacent sequences: A051339 A051340 A051341 this_sequence A051343 A051344 A051345` `Sequence in context: A141385 A059296 A123332 this_sequence A002585 A103785 A083772`
	KEYWORD	`nonn`
	AUTHOR	`Labos E. (labos(AT)ana.sote.hu)`

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Last modified October 11 09:12 EDT 2008. Contains 144832 sequences.

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