id:A069485 - OEIS Search Results

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Largest prime factor of prime(n+1)^2 + prime(n)^2.

+0
3

13, 17, 37, 17, 29, 229, 13, 89, 137, 53, 233, 61, 353, 2029, 193, 37, 277, 821, 953, 61, 89, 101, 1481, 1733, 53, 2081, 269, 2333, 29, 14449, 3329, 3593, 293, 1597, 22501, 73, 25609, 373, 28909, 6197, 32401, 389, 101, 2237, 7841, 42061, 29, 257, 281, 821 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`a(n) = A006530(A069484(n)).`
	EXAMPLE	`A069482(10) = A000040(11)^2 + A000040(10)^2 = 29^2 + 31^2` `= 841 + 961 = 1802 = 21753, therefore a(10) = 53.`
	MATHEMATICA	`Table[ FactorInteger[ Prime[n + 1]^2 + Prime[n]^2] [[ -1, 1]], {n, 1, 50} ]`
	CROSSREFS	`Cf. A069483.` `Sequence in context: A062338 A126808 A053009 this_sequence A109308 A086402 A039290` `Adjacent sequences: A069482 A069483 A069484 this_sequence A069486 A069487 A069488`
	KEYWORD	`nonn`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystems.com), Mar 29 2002`
	EXTENSIONS	`Edited and extended by Robert G. Wilson v (rgwv(AT)rgwv.com), Apr 18 2002`

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.

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