mersenneforum.org an idea for improving the factor table
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 2013-11-06, 19:45 #1 ixfd64 Bemusing Prompter     "Danny" Dec 2002 California 1001010011102 Posts an idea for improving the factor table I have a few ideas for improving the exponent status table. To start off, I think it's important to distinguish whether a number has been fully factored or that it merely has known factors. In my opinion, exponents should not be marked as "Factored" unless we know they are fully factored. "Factors known" would probably be a more accurate label, although something as simple as an asterisk would also do. Hell, I think even Dr. Silverman would agree! Expanding on the idea, it would be helpful if PrimeNet provided the status of the co-factors. I'm thinking about something like the following: C# - number or co-factor has # digits and is composite P# - number or co-factor has # digits and is prime PRP# - number or co-factor has # digits and is a probable prime U# - number or co-factor has # digits and whose character is unknown The abbreviations would be used for numbers with more than a certain number of digits. For example, the table could look something like this (with co-factors with 50 or more digits being abbreviated): Code: Exponent | Status | Factors 2 | Prime 3 | Prime 5 | Prime 7 | Prime 11 | Factored | 23, 89 13 | Prime 17 | Prime 19 | Prime 983 | Factored | 1808226257914551209964473260866417929207023, P254 991 | Factors known | 8218291649, 41473350001, 231620367206687, C264 997 | Factored | 167560816514084819488737767976263150405095191554732902607, C244 2251 | Factored | 400679, 778847, 17620954939878356226435007, 1687942505818611032423917201, P614 2267 | Composite | C683 [LL results] [P-1 results] [ECM results, history, etc.] 2269 | Factors known | 5198395892876421104415109549087087419559080537214372111, C629 2273 | Composite | C685 [LL results] [P-1 results] [ECM results, history, etc.] 2281 | Prime | P687  I know this is what http://factordb.com is for, but not everyone is aware of that site. What does everyone else think? Last fiddled with by ixfd64 on 2013-11-06 at 19:50
2013-11-06, 19:56   #2
R.D. Silverman

Nov 2003

22·5·373 Posts

Quote:
 Originally Posted by ixfd64 I have a few ideas for improving the exponent status table. I know this is what http://factordb.com is for, but not everyone is aware of that site. What does everyone else think?
Redundancy can be useful. Just ask the people at the Department of
Redundancy Department.

 2013-11-06, 20:00 #3 VictordeHolland     "Victor de Hollander" Aug 2011 the Netherlands 23×3×72 Posts I like your idea, but why not use the same labelling system of factordb for Fully Factored (FF) and Composite Factor Known (CF)? http://factordb.com/status.html C: Composite, no factors known CF: Composite, factors known FF: Composite, fully factored P: Definitely prime PRP: Probably prime U: Unknown Last fiddled with by VictordeHolland on 2013-11-06 at 20:02 Reason: link
2013-11-07, 18:27   #4
Mark Rose

"/X\(‘-‘)/X\"
Jan 2013

3×977 Posts

Quote:
 Originally Posted by ixfd64 I have a few ideas for improving the exponent status table. I know this is what http://factordb.com is for, but not everyone is aware of that site. What does everyone else think?
Redundancy can be useful. Just ask the people at the Department of
Redundancy Department.

2013-11-07, 23:05   #5

"Richard B. Woods"
Aug 2002
Wisconsin USA

11110000011002 Posts

Quote:
 Originally Posted by ixfd64 I know this is what http://factordb.com is for, but not everyone is aware of that site. What does everyone else think?
I think it would be much more efficient use of our volunteer time to publicize factordb.com than to duplicate its features in PrimeNet.

How about just adding, to the exponent status display, a little blurb recommending factordb.com for further details about factors?

2013-11-08, 05:41   #6
c10ck3r

Aug 2010
Kansas

547 Posts

Quote:
 Originally Posted by cheesehead I think it would be much more efficient use of our volunteer time to publicize factordb.com than to duplicate its features in PrimeNet. How about just adding, to the exponent status display, a little blurb recommending factordb.com for further details about factors?
What about the limit of 10M digits on FactorDB? Or that fact that most PrimeNet factors are likely not reported on the DB?

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