# Largest n had been factored

hi! i am looking for the largest integer "n" had been factored into 2 primes.
eg. n=p*q where p,q are primes.

any idea?

thx

NateTG
Homework Helper
Um, do you mean factored, or do you mean largest known n such that n=pq?

Not sure about the former. The latter probably grows by a couple of digits every week

yes, i mean the largest known n such that n=pq where p,q=primes

thx again

NateTG
Homework Helper
So really, what you're asking for is the two largest known primes. I'm not sure if this is the best option, but it's certainly big:
$$(2^{20996011}-1)(2^{13466917}-1)$$
is the product of two primes and has about 10 million digits.

Nereid
Staff Emeritus