Math, SETI@home, 3x+1, GIMPS, etc
Miscellaneous math links:
Eric Weisstein's
MathWorld
(and its
publisher saga
):
Number Theory
,
Unsolved problems
,
Ramsey numbers
The
MacTutor History of Mathematics archive
Erdös number project
Laszlo Babai
Computational math:
Chris Caldwell's
Prime Pages
: The
Top 20
and
Top 5000
Largest Known Primes & Tony Forbes largest
k-tuplet primes
Yves Gallot's
Proth
program for finding very large primes
Preda Mihailescu's
page
(check out his
CYCLOPROV
package for primality proving)
Dario Alpern's
Number Theory page
Prime stats:
Tomás Oliveira e Silva
and
Thomas R Nicely
π(x) computation
;
Small gaps between consecutive primes
;
Gourdon - Computation of π(x)
(.PS; 2001);
Deleglise and Rivat - Computing π(x)
(.PDF; 1996)
Nature
article
Prime numbers not so random
about LANL's
Information Entropy and Correlations in Prime Numbers
paper
David Bailey's
π page
& the
π
search engine
.
Fabrice Bellard
's π algorithm (
43% faster than Bailey-Borwein-Plouffe
)
Number Theory Web
AT&T Researcher Neil Sloane's
Integer Sequences
Encyclopaedia
Riemann Hypothesis grid
search for zeros of Riemann zeta function
Terrence Tao:
preprints
such as
Structure and Randomness in the Prime Numbers
(
PDF
+
video
)
Nilsequences and the Primes
(
PDF
+
video
)
Math libraries:
DMOZ
,
PARI/GP
,
LiDIA
,
CLN
,
NTL
,
apfloat
,
GNU MP
,
GNU BC
,
ZEN
I participated in Eric R's
3x+1 search
(March 28 to May 28, 2002). This is my completed work:
17{
16-18
,
28-30
,
30-32
,
32-34
,
34-36
,
36-38
,
38-40
}0
17160,382120,921755 Delay = 1967 (Level -2)
17162,867821,845951 Delay = 1768 (Level 0)
17172,855837,063355 Delay = 1892 (Level -1)
17284,885345,765033 Delay = 1781 (Level 0)
17299,634851,843071 Delay = 1799 (Level 0)
17304,167641,536283 Delay = 1799 (Level 0)
17305,388246,933359 Delay = 1843 (Level 0)
17307,129146,856105 Delay = 1799 (Level 0)
17316,817984,064475 Delay = 1768 (Level 0)
17317,960632,678315 Delay = 1768 (Level 0)
17318,187092,238831 Delay = 1768 (Level 0)
17318,187092,238847 Delay = 1768 (Level 0)
17322,243805,301505 Delay = 1786 (Level 0)
17339,596446,313465 Delay = 1768 (Level 0)
17341,058401,686463 Delay = 1843 (Level 0)
17345,249502,549531 Delay = 1768 (Level 0)
17378,581666,113001 Delay = 1799 (Level 0)
17389,953031,181865 Delay = 1799 (Level 0)
17394,505757,760393 Delay = 1936 (Level -2)
Seeking large primes
: I am a dormant member (fka S07320;
Ionel V...
or
Ionel V...
) of
GIMPS
(Great Internet Mersenne Prime Search):
Date, Rank,CPU.yrs,Cleared exponents
Jun ?? '99 xxxx 0.??? 7529017
Jul 26 '99 38xx 0.??? 7682117
Aug 10 '99 30xx 0.872 7854851 (0x83D5A3B3C188D4__)
Oct 22 '99 29xx 1.245 8123267 (0x3DC220BB692AF0__)
Nov 12 '00 55xx 1.245
Jan 10 '01 44xx 1.996 11570891 (0xD6C9631086D9D8__)
Feb 15 '01 37xx 2.765 11857661 (0x3965A94AEC5173__)
Mar 13 '01 32xx 3.511 11504917 (0x45B7A25A8B142E__)
Apr 19 '01 29xx 4.27 11697097 (0x531AB6ACB779C0__)
Jun 03 '01 31xx 4.27
Jun 19 '01 27xx 5.02 11282461 (0x84605DC50F80A6__)
Nov 17 '02 xxxx ?.?? 12841217
Jan 13 '03 61xx ?.??
Apr 19 '03 57xx 6.61 17202533
Jan 03 '04 73xx 6.61 18700333 (0x685dbde7b8d2a5d0, wv1=7ead5667)
Jan 25 '07 194xx 6.85
In 2003-2004, I contributed to the
SETI@home
project.
Contact:
email
.