A073770 - OEIS

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A073770

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.

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

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OFFSET

1,1

COMMENTS

A065377 is a subsequence of this sequence. Except for the initial term 2 this sequence is disjoint to A073609.

LINKS

Table of n, a(n) for n=1..55.

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 * A077545 A069943 A273462

Adjacent sequences: A073767 A073768 A073769 * A073771 A073772 A073773

KEYWORD

nonn

AUTHOR

Klaus Brockhaus, Aug 08 2002

STATUS

approved