MathOverflow will be down for maintenance for approximately 3 hours, starting Monday evening (06/24/2013) at approximately 9:00 PM Eastern time (UTC-4).
show/hide this revision's text 2 got links to work

Peter Sarnak believes that integer factorization is in $P$. It is a well-known open problem in TCS to identify the real complexity class of integer factorization. Take a look at this link for Peter Sarnak's lectures where he mentions that he does not believe factoring is not in $P$. www.austms.org.au/tiki-download_file.php?fileId=161P$.

What evidence is there that integer factorization is in $P$ other than the fact that polynomial factorization is in $P$?

show/hide this revision's text 1

Evidence for integer factorization is in $P$

Peter Sarnak believes that integer factorization is in $P$. It is a well-known open problem in TCS to identify the real complexity class of integer factorization. Take a look at this link for Peter Sarnak's lectures where he mentions that he does not believe factoring is not in $P$. www.austms.org.au/tiki-download_file.php?fileId=161

What evidence is there that integer factorization is in $P$ other than the fact that polynomial factorization is in $P$?