A261659 a(n) = sqrt(A261655(n)/144) for n>1.

1, 3, 5, 35, 33, 144, 80, 137, 285, 363, 387, 351, 204, 935, 225, 241, 289, 665, 1210, 310, 710, 324, 327, 685, 945, 749, 805, 479, 2091, 1260, 1169, 628, 2156, 654, 2355, 1827, 1545, 2181, 1499, 761, 3126, 1575, 2364, 1770, 1452, 1455, 2827, 1739, 3390, 4641

Offset

2,2

Comments

The primes of the sequence are 3, 5, 137, 241, 479, 761, 1499, ...

The squares of the sequence are 1, 144, 225, 289, 324, ...

Links

Table of n, a(n) for n=2..51.

Example

a(3)=3 because sqrt(A261655(3)/144) = sqrt(1296/144) = sqrt(9)=3.

Maple

q:=83:for n from 2 to 10^7 do:p:=n^2+2:if isprime(p) then x:=p-q:q:=p: z:=sqrt(x):if z=floor(z) then printf(`%d, `, x/144):else fi:fi:od:

Crossrefs

Cf. A261655: squares equal to the difference between two successive primes of the form k^2+2.

Sequence in context: A162444 A305858 A379507 * A346715 A259853 A052468

Adjacent sequences: A261656 A261657 A261658 * A261660 A261661 A261662

Keyword

nonn

Author

Michel Lagneau, Aug 28 2015

Status

approved