
The nth Prime Page will now find any of the first 2,623,557,157,654,233 primes or
π( x) for x up to 100,000,000,000,000,000. Before primes are added to the List of Largest Known Primes, they
must be first be verified, comments must be checked and they must meet the
size requirements. Below we show the
status of these primes (if any) that are awaiting verificiation (of any age) as well as those
modified (for any reason) in the last 96 hours. Click on the prime's id for more detailed information.
The color code is at the bottom of the page.
Prime Description Color Codes 
Composite  Proven composite 
Remove  Scheduled for deletiontoo small or proven composite 
UnTested  Not yet tested 
InProcess  Currently being tested 
Probableprime  Shown to be a PRP,
awaiting further testing (see note). 
Proven  Proven prime 
External  Proven prime, externally verified 
Note: Only proven primes are accepted
on this list. These colors refer the status of this list's (re)verification
process only. 

Rank/Id Color Codes 
short  On the short version of the list 
yes  On the long version of the list 
no  Not on the current list 
(unknown)  Not yet reranked 
Note: This list is (re)ranked every 30 minutes. 

Description Notation 
\ 
backquote (23\ 45 = 2345, used to allow long integers to line wrap) 
# 
primorial (9# = 7*5*3*2) 
!, !_{n} 
factorial,
multifactorial 
Phi(n,x) 
nth cyclotomic polynomial evaluated at x 
Modify this display:
We at the Prime Pages attempt to keep a list
of the 5000 largest known primes plus a few each of certain selected
archivable forms.
To make the top 5000 today a prime must have 388341 digits or meet
the size requirements for it's
archivable form. (Query time: 0.002003 seconds.)
