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Large primes:
Decimal values & English names
of known
Mersenne primes
<<== Try Me!!!
The
largest known prime
How to find a new largest known prime
<<== Try this tutorial
My (Co-)Discovery of the 25th & 26th Mersenne primes:
The 25th
Mersenne prime
is
2
^{21701}
-1
(see also
M
_{21701}
)
The 25th
Perfect number
is
2
^{21700}
* (2
^{21701}
-1)
The 26th
Mersenne prime
is
2
^{23209}
-1
(see also
M
_{23209}
)
The 26th
Perfect number
is
2
^{23208}
* (2
^{23209}
-1)
As a member of the Amdahl 6, I Co-Discovered these primes:
The
Amdahl 6
group
The largest
Amdahl 6
prime:
391581 * 2
^{216193}
-1
The 3rd largest
Amdahl 6
twin prime:
663777*2
^{7650}
+/- 1
The 2nd largest
Amdahl 6
twin prime:
571305*2
^{7701}
+/- 1
The largest
Amdahl 6
twin prime:
1706595*2
^{11235}
+/- 1
The
Amdahl 6
method for
finding large non-Mersenne primes
I am a member of the EFF Cooperative Computing Awards Team:
EFF
Cooperative Computing Awards
home page
EFF
Cooperative Computing Awards
official rules
EFF
Cooperative Computing Awards
FAQ
EFF
Prime Number Resources and Info
Slowinski and Gage's discovery of the 34th Mersenne prime:
Slowinski and Gage's large
Mersenne prime
is
2
^{1257787}
-1
(see also
M
_{1257787}
)
Slowinski and Gage's large
Perfect number
is
2
^{1257786}
* (2
^{1257787}
-1)
A
San Jose Mercury News
article about Slowinski and Gage's discovery
My
Press release
about Slowinski and Gage's discovery
Misc prime numbers:
In
private correspondence with
Chris K. Caldwell
, I announced that
^{C}
5
= 2
^{(2127-1)}
-1 has no prime factor < 5 * 10
^{51}
.
Helped prove that
(37*10
^{2883}
-73)/99
(37373 ... 73, 2883-digits) is a
Smoothly Undulating Palindromic Prime
(SUPP).
I have
contributed
a number of ``
Prime Curios!
'' table entries
A good number of small and large primes may be found in my
curious numbers related to primes
table, some of which have been entered into in the ``
Prime Curios!
'' table
Some
useful links
Mersenne primes
Known Mersenne Prime
Digits and Names
Caldwell's article on the discovery of
2
^{13466917}
-1
Great Internet Mersenne Prime Search
GIMPS
search status
Definitions and theory
General
Mersenne prime
information
Prime
Mersenne prime
Mersenne number
Mersenne conjecture
On
proving that a number is prime
Lists of the
Large prime numbers
Source code
Calc
: able to compute decimal values primes
Number
: able to compute English names of primes
GIMPS code
: has been used to prove primality of some Mersenne primes
GIMPS
search credits
and thank yous
Misc prime links
Landon Curt
Noll's prime number
work
Dr. Caldwell's
The Prime Pages
The
Amdahl 6
group
Prime Curios!
(a fun site!)
Landon Curt Noll's table of
curious numbers related to primes
miscellaneous primes related to 37
© 1994-2013
Landon Curt Noll
chongo
(was here)
/\oo/\
$Revision: 8.1 $ $Date: 2022/07/08 00:06:05 $