A060358 a(n) = largest prime < lcm(1..n).

5, 11, 59, 59, 419, 839, 2503, 2503, 27701, 27701, 360337, 360337, 360337, 720703, 12252197, 12252197, 232792559, 232792559, 232792559, 232792559, 5354228879, 5354228879, 26771144371, 26771144371, 80313433159, 80313433159, 2329089562799, 2329089562799

Offset: 3

Author

N. J. A. Sloane, Apr 01 2001

Keywords

• nonn

Links

• Chai Wah Wu, Table of n, a(n) for n = 3..2308

Crossrefs

Cf. A003418, A060357.

Programs

Maple

b:= proc(n) option remember; `if`(n=0, 1, ilcm(n, b(n-1))) end:
a:= n-> prevprime(b(n)):
seq(a(n), n=3..30);  # Alois P. Heinz, Feb 17 2024

Mathematica

Table[NextPrime[LCM@@Range[n],-1],{n,3,30}] (* Harvey P. Dale, May 28 2014 *)

PARI

a(n) = precprime(lcm([1..n])); \\ Michel Marcus, Mar 18 2018

Python

from sympy import prevprime, lcm
def A060358(n):
    return prevprime(lcm(range(1,n+1))) # Chai Wah Wu, Jan 22 2020