id:A073770 - OEIS Search Results

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Primes p not of the form q + s where q is prime and s > 0 is the smallest square such that q + s is prime.

+0
1

2, 5, 13, 19, 29, 31, 37, 43, 61, 67, 73, 79, 103, 109, 127, 139, 151, 157, 163, 179, 181, 191, 193, 199, 211, 223, 229, 241, 271, 277, 283, 313, 331, 337, 349, 359, 367, 373, 379, 397, 409, 421, 431, 433, 439, 463, 487, 499, 521, 523, 541, 547, 569, 571, 577 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`A065377 is a subsequence of this sequence. Except for the initial term 2 this sequence is disjoint to A073609.`
	EXAMPLE	`13 cannot be partitioned into a prime and a square > 0, so 13 is a term. The only partition of 19 into a prime and a square > 0 is (3,16), but 16 is not the smallest square s such that 3 + s is prime since 3 + 4 = 7 is also prime; therefore 19 is a term.`
	CROSSREFS	`Cf. A065377, A073609.` `Sequence in context: A104491 A038950 A019390 this_sequence A077545 A069943 A002540` `Adjacent sequences: A073767 A073768 A073769 this_sequence A073771 A073772 A073773`
	KEYWORD	`nonn`
	AUTHOR	`Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Aug 08 2002`

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.

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