A359868 a(n) is the smallest prime q such that A305411(n) + q is a square.

13, 11, 19, 107, 101, 257, 467, 173, 167, 1601, 719, 701, 347, 569, 929, 1931, 479, 467, 719, 1163, 683, 1613, 2843, 941, 1997, 1307, 1907, 2549, 1823, 6869, 2957, 1487, 2141, 2777, 1931, 1823, 1811, 4253, 2273, 4877, 5711, 2663, 7673, 5081, 4871, 4799, 4643

Offset

1,1

Comments

A305411 is conjectured to have only 103 terms.

Links

Table of n, a(n) for n=1..47.

Example

A305411(2) = 5; 5 + 2 = 7, 5 + 3 = 8, 5 + 5 = 10, and 5 + 7 = 12 are not squares, but 5 + 11 = 16 = 4^2, so a(2) = 11.

Crossrefs

Cf. A000040, A000290, A305411.

Sequence in context: A160130 A340803 A265770 * A206607 A196124 A196121

Adjacent sequences: A359865 A359866 A359867 * A359869 A359870 A359871

Keyword

nonn

Author

Can Güllü, Jan 16 2023

Status

approved