Base 2 to 768 bits

R.D. Silverman · 2006-10-13, 14:34

Hi,

An ECM "near" miss:

2,1526L C191 = p53.p138

p53 = 81100940490524995434296633553178345665740792232320957
p138 = 189340478259936307556926821084538798956773594080872930492012919670535867070173114738309353256564597114834763985330229063415837545856579093

This finishes ALL of base 2 to 768 bits.

The linear algebra for 5,314+ is in progress and 6,281- is sieving.

akruppa · 2006-10-13, 20:17

> This finishes ALL of base 2 to 768 bits.

Very nice effort!

Alex

Xyzzy · 2006-10-13, 21:28

Quote:

Originally Posted by akruppa

Very nice effort!

That's just a nice effort bow.

This is a very nice effort bow:

Phil MjX · 2006-10-14, 00:04

nice "hot" effort !

what is your next milestone with the tables?

philmoore · 2006-10-18, 18:15

Quote:

Originally Posted by Phil MjX

What is your next milestone with the tables?

All the Cunningham numbers of less than 768 bits are now base 5, 6, or 7, with only 18 entries left. And it looks like work has already started on seven or eight of these numbers. I started ECM on Cunningham numbers six years ago, and am amazed at the progress made since then.

R.D. Silverman · 2006-10-18, 19:53

Quote:

Originally Posted by philmoore

All the Cunningham numbers of less than 768 bits are now base 5, 6, or 7, with only 18 entries left. And it looks like work has already started on seven or eight of these numbers. I started ECM on Cunningham numbers six years ago, and am amazed at the progress made since then.

Two of these (5,319- and 5,329-) are rather easy.

R.D. Silverman · 2006-10-18, 19:58

Quote:

Originally Posted by Phil MjX

nice "hot" effort !

what is your next milestone with the tables?

Nothing specific. Just to work on numbers that accessible with
my resources. Numbers among the first 5 holes get preference.

akruppa · 2006-10-18, 19:58

I'm thinking about 5,319- right now...

Alex

R.D. Silverman · 2006-10-18, 20:09

Quote:

Originally Posted by R.D. Silverman

Two of these (5,319- and 5,329-) are rather easy.

P.S. You left out 10,229+.

R.D. Silverman · 2006-10-18, 20:15

Quote:

Originally Posted by philmoore

All the Cunningham numbers of less than 768 bits are now base 5, 6, or 7, with only 18 entries left. And it looks like work has already started on seven or eight of these numbers. I started ECM on Cunningham numbers six years ago, and am amazed at the progress made since then.

Progress in the last 6 years has been nothing relative to the progress made
in the period 1983-1989.

philmoore · 2006-10-18, 23:04

Quote:

Originally Posted by R.D. Silverman

P.S. You left out 10,229+.

So I did, thanks for the correction.

5- : 311, 313, 317, 319, 323, 329
5+ : 311, 313, 314
6- : 281, 283
6+ : 283, 284, 292
7- : 263, 269, 271
7+ : 268
10+ : 229

2006-10-13, 14:34	#1
R.D. Silverman Nov 2003 2²·5·373 Posts	Base 2 to 768 bits Hi, An ECM "near" miss: 2,1526L C191 = p53.p138 p53 = 81100940490524995434296633553178345665740792232320957 p138 = 189340478259936307556926821084538798956773594080872930492012919670535867070173114738309353256564597114834763985330229063415837545856579093 This finishes ALL of base 2 to 768 bits. The linear algebra for 5,314+ is in progress and 6,281- is sieving.

2006-10-14, 00:04	#4
Phil MjX Sep 2004 5×37 Posts	nice "hot" effort ! what is your next milestone with the tables? Last fiddled with by Phil MjX on 2006-10-14 at 00:14

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2006-10-13, 20:17	#2
akruppa "Nancy" Aug 2002 Alexandria 2,467 Posts	> This finishes ALL of base 2 to 768 bits. Very nice effort! Alex

2006-10-18, 19:58	#8
akruppa "Nancy" Aug 2002 Alexandria 4643₈ Posts	I'm thinking about 5,319- right now... Alex