A065735 Largest square <= product of first n primes.

1, 4, 25, 196, 2304, 29929, 509796, 9696996, 223084096, 6469628356, 200559769921, 7420737154609, 304250260158441, 13082761295250201, 614889781233144561, 32589158470911505225, 1922760350143213168900

Offset: 1

Author

Labos Elemer, Nov 15 2001

Keywords

• easy
• nonn

Links

• Harry J. Smith, Table of n, a(n) for n = 1..100

Crossrefs

Cf. A048760, A002110, A065730-A065741.

Programs

Mathematica

Floor[Sqrt[#]]^2&/@FoldList[Times,Prime[Range[20]]] (* Harvey P. Dale, Jan 13 2024 *)

PARI

{ m=1; for (n=1, 100, m*=prime(n); a=sqrtint(m)^2; write("b065735.txt", n, " ", a) ) } \\ Harry J. Smith, Oct 28 2009

Formula

a(n) = A048760(A002110(n)).