Hi guys,

Long time no see. I've been busy doing a PhD (in combinatorial number theory), getting married and having a baby girl. (: So very little time to write. Anyway...

Birkhoff and Hall's theta function

is defined by

for prime

, and theta is multiplicative, that is

if

. (Sloane's A061350)

I have shown that for prime

, the largest

such that

dividing

is

.

I suspect that this has already been found by someone else. So this is my "homework help." Does anyone know where I can find this?