A073066 Least k such that n*prime(k) <= k*tau(k).

2, 24, 180, 840, 2520, 5040, 15120, 27720, 55440, 110880, 166320, 221760, 332640, 554400, 720720, 1081080, 1441440, 1441440, 2162160, 2882880, 3603600, 4324320, 7207200, 7207200, 8648640, 10810800, 14414400, 21621600, 21621600, 21621600, 32432400, 36756720, 36756720, 43243200, 61261200, 73513440

Offset

1,1

Comments

a(n) divides a(n+1) for some n.

Links

Table of n, a(n) for n=1..36.

Prog

(PARI) a(n)=if(n<0, 0, s=1; while(n*prime(s)>s*numdiv(s), s++); s)

Crossrefs

Sequence in context: A157053 A279853 A052411 * A002736 A309318 A131972

Adjacent sequences: A073063 A073064 A073065 * A073067 A073068 A073069

Keyword

nonn

Author

Benoit Cloitre, Aug 17 2002

Extensions

More terms from Donovan Johnson, Mar 06 2008

Status

approved