
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. id  prime 
digits  who  when  comment 
121594  427 · 2^{2326288} + 1 
700286 
L2719 
Apr 2016 

121600  5829 · 2^{1404265} + 1 
422730 
L4375 
Apr 2016 

121599  9735 · 2^{1404228} + 1 
422719 
L4374 
Apr 2016 

121598  1583 · 2^{1404101} + 1 
422680 
L4373 
Apr 2016 

121597  8835 · 2^{1404060} + 1 
422669 
L4144 
Apr 2016 

121596  9451 · 2^{1402940} + 1 
422331 
L4287 
Apr 2016 

121602  2717956104855 · 2^{1290000}  1 
388342 
L2509 
Apr 2016 

121601  2714997948777 · 2^{1290000}  1 
388342 
L3997 
Apr 2016 

121603  2713961717997 · 2^{1290000}  1 
388342 
L3392 
Apr 2016 

121595  2689855404987 · 2^{1290000}  1 
388342 
L4301 
Apr 2016 

 
   
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: 0.002191 seconds.)
