id:A069003 - OEIS Search Results

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Smallest integer d such that n^2 + d^2 is a prime number.

+0
2

1, 1, 2, 1, 2, 1, 2, 3, 4, 1, 4, 7, 2, 1, 2, 1, 2, 5, 6, 1, 4, 5, 8, 1, 4, 1, 2, 5, 4, 11, 4, 3, 2, 5, 2, 1, 2, 3, 10, 1, 4, 5, 8, 9, 2, 5, 2, 13, 4, 7, 4, 3, 10, 1, 4, 1, 2, 3, 6, 13, 10, 3, 32, 9, 2, 1, 2, 5, 10, 3, 6, 5, 2, 1, 4, 5, 10, 7, 4, 7, 4, 3, 18, 1, 2, 9, 2, 3, 4, 1, 4, 7, 8, 1, 2, 5, 2, 3, 4, 3 (list; graph; listen)

	OFFSET	`1,3`
	LINKS	`T. D. Noe, Table of n, a(n) for n=1..1000`
	EXAMPLE	`a(5)=2 because 2 is the smallest integer d such the 5^2+d^2 is a prime number.`
	MATHEMATICA	`maxN=100; lst={}; For[n=2, n<=maxN, n++, d=1+Mod[n, 2]; While[p=n^2+d^2; Not[PrimeQ[p]], d=d+2]; (* Print[n, " ", d, " ", p]; *) AppendTo[lst, d]; ]; lst`
	CROSSREFS	`Adjacent sequences: A069000 A069001 A069002 this_sequence A069004 A069005 A069006` `Sequence in context: A049711 A137293 A074641 this_sequence A087855 A083409 A097454`
	KEYWORD	`easy,nonn`
	AUTHOR	`T. D. Noe (noe(AT)sspectra.com), Apr 02 2002`

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Last modified October 5 16:50 EDT 2008. Contains 144613 sequences.

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