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We will be
upgrading the server this Friday (May 9) and this site will be down at
times on that day (and possibly the next). (caldwell@utm.edu)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 72 hours. Click on the prime's id for more detailed information.
The color code is at the bottom of the page.
The Prime Pages will be down on Saturday/Sunday, July 5-6 (2008) for up to 48 hours.
The University will be upgrading its trunk lines to the Internet, routers, ... Also on May
9-10th there will be outages as we perform hardware and software upgrades to this
server. ( caldwell@utm.edu).
| Prime Description Color Codes |
| Composite | Proven composite |
| Remove | Scheduled for deletion--too small or proven composite |
| UnTested | Not yet tested |
| InProcess | Currently being tested |
| Probable-prime | 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. |
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| 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 re-ranked |
| Note: This list is (re)ranked every 30 minutes. |
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| Description Notation |
| \ |
back-quote (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 100383 digits or meet
the size requirements for it's
archivable form. (Query time: 0.002237 seconds.)
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