id:A089123 - OEIS Search Results

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Smallest prime factor of numbers of the form A^2 + 3.

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2, 7, 2, 19, 2, 3, 2, 67, 2, 103, 2, 3, 2, 199, 2, 7, 2, 3, 2, 13, 2, 487, 2, 3, 2, 7, 2, 787, 2, 3, 2, 13, 2, 19, 2, 3, 2, 1447, 2, 7, 2, 3, 2, 7, 2, 13, 2, 3, 2, 2503, 2, 2707, 2, 3, 2, 43, 2, 7, 2, 3, 2, 3847, 2, 4099, 2, 3, 2, 7, 2, 4903, 2, 3, 2, 5479, 2, 5779, 2, 3, 2, 19, 2, 7, 2, 3, 2, 7 (list; graph; listen)

	OFFSET	`1,1`
	REFERENCES	`H. Rademacher, Lectures on Elementary Number Theory, pp. 33-38.`
	PROGRAM	`(PARI) smallasqp3(m) = { for(a=1, m, y=a^2 + 3; f = factor(y); v = component(f, 1); v1 = v[length(v)]; print1(v[1]", ") ) }`
	CROSSREFS	`Cf. A002496.` `Adjacent sequences: A089120 A089121 A089122 this_sequence A089124 A089125 A089126` `Sequence in context: A102447 A010697 A088666 this_sequence A100489 A110987 A019703`
	KEYWORD	`easy,nonn`
	AUTHOR	`Cino Hilliard (hillcino368(AT)gmail.com), Dec 05 2003`

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Last modified May 16 01:24 EDT 2008. Contains 139630 sequences.

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