id:A087242 - OEIS Search Results

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Smallest prime number p such that n+p = q is also a prime, or 0 if no such prime number exists.

+0
3

2, 3, 2, 3, 2, 5, 0, 3, 2, 3, 2, 5, 0, 3, 2, 3, 2, 5, 0, 3, 2, 7, 0, 5, 0, 3, 2, 3, 2, 7, 0, 5, 0, 3, 2, 5, 0, 3, 2, 3, 2, 5, 0, 3, 2, 7, 0, 5, 0, 3, 2, 7, 0, 5, 0, 3, 2, 3, 2, 7, 0, 5, 0, 3, 2, 5, 0, 3, 2, 3, 2, 7, 0, 5, 0, 3, 2, 5, 0, 3, 2, 7, 0, 5, 0, 3, 2, 13, 0, 7, 0, 5, 0, 3, 2, 5, 0, 3, 2, 3, 2, 5, 0, 3, 2 (list; graph; listen)

	OFFSET	`1,1`
	FORMULA	`a(n)=Min{x; n+x is prime}`
	EXAMPLE	`a(n)=0, i.e. no solution exists if n is a special prime, namely n is not a lesser-twin-prime;` `e.g. if n=7, then neither 7+2=9 nor 7+(oddprime) is a prime, thus no p prime exits such that 7+p was also a prime.` `If n=lesser-twin-prime then a(n)=2 is a solution because n+a[n]=n+2=larger-twin-prime satisfying condition.`
	CROSSREFS	`Cf. A087243.` `Sequence in context: A165005 A167530 A029208 this_sequence A123556 A053669 A112047` `Adjacent sequences: A087239 A087240 A087241 this_sequence A087243 A087244 A087245`
	KEYWORD	`nonn`
	AUTHOR	`Labos E. (labos(AT)ana.sote.hu), Sep 04 2003`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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