A139033 - OEIS

A139033

a(1)=1; at n>=2, a(n) = least square > a(n-1) such that sum a(1)+...+a(n) is a prime number.

1, 4, 36, 576, 1296, 1764, 2304, 4356, 6084, 15876, 19044, 20736, 26244, 44100, 69696, 76176, 82944, 86436, 112896, 152100, 176400, 213444, 248004, 254016, 260100, 285156, 291600, 324900, 381924, 396900, 412164, 435600, 476100, 492804, 553536, 608400, 705600

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OFFSET

1,2

LINKS

Zak Seidov, Table of n, a(n) for n = 1..2000

FORMULA

a(n) = A137326(n)^2.

MATHEMATICA

s={1}; su=1; Do[p=su+n^2; If[PrimeQ[p], su=p; AppendTo[s, n^2]], {n, 2, 120000}]; s

CROSSREFS

Cf. A137326, A139034 (corresponding primes).

Sequence in context: A364152 A238844 A073852 * A370753 A001044 A306736

Adjacent sequences: A139030 A139031 A139032 * A139034 A139035 A139036

KEYWORD

nonn

AUTHOR

Zak Seidov, Apr 07 2008

EXTENSIONS

Edited by Alois P. Heinz, Jan 27 2023

STATUS

approved