Presumably you mean is it true that:

( A nor B ) nor C == A nor ( B nor C ) ?

No.

Let's make a table:

A B C (A nor B) (B nor C) [ (A nor B ) nor C ] [ A nor ( B nor C ) ]

0 0 0 1 1 0 0

0 0 1 1 0 0 1

....

So you see right away for A=0, B=0, and C=1 it doesn't work.

Why is 1 neither prime nor composite

It cannot be true nor untrue since there is no equation (nor inequality).

1 is neither prime nor composite because, 1 is the only factor of 1 there is nothing else.

Truth table of 'NAND' is 0 0 - 1 0 1 - 1 1 0 - 1 1 1 - 0 NAND is just opposite of AND as the name itself suggest NAND is the not of AND Truth table of "NOR" is 0 0 - 1 0 1 - 0 1 0 - 0 1 1 - 0 NOR is just opposite of OR as the name itself suggest NOR is the not of OR.