A titan, as defined by Samuel Yates, is anyone who has found a titanic prime . This page provides data on those that have found these primes. The data below only reflect on the primes currently on the list. (Many of the terms that are used here are explained on another page .)
Proof-code(s):
p62 , p159 , p174 , x9 , x15 , x19 , p180
E-mail address:
(e-mail address unpublished)
Web page: http://groups.yahoo.com/group/primeform/
Username:
egroup
(entry created on 10/27/2001)
Database id: 339
(entry last modified on 03/28/2006)
Active primes: on current list: 1,
rank by number 22
Total primes:
number ever on any list: 8
Production score:
for current list 39 (normalized: 0), total 41.4764,
rank by score 25
Largest prime:
"41769334305470218025...(102088 other digits)...13913798335329393079"
(102128 digits) via code p62 on 05/26/2005
Most recent:
(1284991359 · 298305 +1) · (96060285 · 2135170 +1)-2
(70301 digits) via code p180 on 10/07/2005
Entrance Rank:
mean 87.00 (minimum 87, maximum 87)
Descriptive Data:
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October 2005:
(1284991359*2^98305+1)*(96060285*2^135170+1)-2
Largest
known Chen prime . BLS provable form and preparations by
Jens Kruse Andersen. Trial factoring program to 2^31 by
Phil Carmody. PrimeForm PRP tests by Jens Kruse Andersen,
Pierre Cami, Jason Earls, Micha Fleuren, Andy Klingeleers,
Paul Underwood, Thomas Wolter. Prp found by Micha Fleuren.
Brillhart-Lehmer-Selfridge proof with 42% N+1 factorization
by PrimeForm.
July 2005: Two
100,000 digit "Picture Primes" .
Writing them 50 digits per line forms a text. Picture
design by Paul Underwood. Primo primality proofs of N+1
factors and sieving to 10^12 by Jens Kruse Andersen.
PrimeForm prp tests by Jens Kruse Andersen, James Chislett,
Jason Earls, V. M. Ulyanov, Paul Underwood, Thomas Wolter.
Prps found by Jason Earls and Thomas Wolter.
Konyagin-Pomerance primality proofs by David
Broadhurst.
June 2005:
32476090*C(1531785651*2^10110+18,23)-1
Distributed
search for a provable prime of the form p = k*C(x,23)-1
where C is the binomial function. Factoring p+1 to 30.9%
and sieving by Jens Kruse Andersen. Proving p+1 factors
with Primo by Pierre Cami, Luigi Morelli and V. M. Ulyanov.
PRP tests with PrimeForm by the 4 mentioned and
Décio Luiz Gazzoni Filho. PRP found by Pierre Cami.
Konyagin-Pomerance primality proof by David Broadhurst.
May 2005: 25987968300*[RSA-200]^512-1 and
49334180280*[RSA-200]^512-1
A distributed search for a prime of the form
k*[RSA-200]^512-1 which can only be proven prime by using
the factorization
of RSA-200 , the product of 2 random 100-digit primes.
Writing and running sieve to 10^12 by Jens Kruse Andersen.
PRP tests by Jens Kruse Andersen, Göran Axelsson,
Pierre Cami, Phil Carmody, Chuck Lasher, Predrag Minovic,
Luigi Morelli, Martin Speirs, V. M. Ulyanov, Paul Underwood
and Cedric Vonck. Finding and proving primes by Luigi
Morelli and Paul Underwood.
January 2005:
22055611200*(10^999+203959)#/(10^999)#-1
A distributed search for a prime on the form p =
k*(10^999+203959)#/(10^999)#-1, where the 101 smallest
titanic primes divide p+1. Proving p+1 factors, writing and
running sieve to 10^12 by Jens Kruse Andersen. PRP tests by
David Broadhurst, Pierre Cami, Phil Carmody, Ken Davis,
Predrag Minovic, Luigi Morelli and Paul Underwood. Finding
and proving prime by David Broadhurst
Years 2001-2002:
10100000 -1061403 -1
A coordinated team effort of PrimeForm
e-group members to search exhaustively for a one
hundred thousand digit primes of the form 10^100000-10^k-1
where k is between 33333 and 99999. Trial division sieving
program and running of it to 4 billion by Michael Bell. PRP
tests by Fermat's Method by 8-legs, James Berwick, Didier
Boivin, Michael Bell, Phil Kenny, Wade McBeth, MyJoy18 and
Paul Underwood. Brillhart-Lehmer-Selfridge proof using PFGW
by Paul Underwood.
I administer Primeform e-group and I would like to
Surname: PrimeForm_egroup (used for alphabetizing and in codes) Unverified primes are omitted from counts and lists until verification completed.