Largest n had been factored

1. Mar 7, 2004

x_endlessrain_x

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

2. Mar 7, 2004

NateTG

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

3. Mar 7, 2004

x_endlessrain_x

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

thx again

4. Mar 7, 2004

NateTG

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.

5. Mar 7, 2004

Nereid

Staff Emeritus
A site devoted to the largest known primes. The two Nate mentioned are the #39 (?) and #40 (?) Mersenne primes.

6. Mar 12, 2004

modmans2ndcoming

this is where this should have gone

no problem......

M^2 is the answer, where M is the largest known Prime.