My brain's not working.

Is the multiplicative inverse of 1 modulo n always 1, and nothing else?

Of course 1*1=1 ... but I'm doubting myself and wondering if modulo arithmetic opens other possibilities.

#maths #numbertheory

@rzeta0 4 × 4 = 1 (mod 5), for instance. Things get weirder if the modulo isn't prime: 3 × 4 = 0 (mod 6).