Hello,

I got this conjecture last night, but my math is not good enough to prove it...

if and only if

is divisible by

then there is a non-negative Integer k with

(= M(k) + 3)

another conjecture:

if n>1, n odd then

is divisible by

are these conjectures already known/proven? And if not, any idea how to prove them?

I got them while looking in a self-created file with the (start of) factorisations of numbers of the form:

, p prime (I made TF in this file up to 30 bit, if wanted I'll post it).

Thanks in advance.

mfg

Matthias