20131106, 19:45  #1 
Bemusing Prompter
"Danny"
Dec 2002
California
100101001110_{2} 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 cofactors. I'm thinking about something like the following: C#  number or cofactor has # digits and is composite P#  number or cofactor has # digits and is prime PRP#  number or cofactor has # digits and is a probable prime U#  number or cofactor 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 cofactors 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 <snip> 983  Factored  1808226257914551209964473260866417929207023, P254 991  Factors known  8218291649, 41473350001, 231620367206687, C264 997  Factored  167560816514084819488737767976263150405095191554732902607, C244 <snip> 2251  Factored  400679, 778847, 17620954939878356226435007, 1687942505818611032423917201, P614 2267  Composite  C683 [LL results] [P1 results] [ECM results, history, etc.] 2269  Factors known  5198395892876421104415109549087087419559080537214372111, C629 2273  Composite  C685 [LL results] [P1 results] [ECM results, history, etc.] 2281  Prime  P687 <snip> What does everyone else think? Last fiddled with by ixfd64 on 20131106 at 19:50 
20131106, 19:56  #2  
Nov 2003
2^{2}·5·373 Posts 
Quote:
Redundancy Department. 

20131106, 20:00  #3 
"Victor de Hollander"
Aug 2011
the Netherlands
2^{3}×3×7^{2} 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 20131106 at 20:02 Reason: link 
20131107, 18:27  #4  
"/X\(‘‘)/X\"
Jan 2013
3×977 Posts 
Quote:
Redundancy Department. 

20131107, 23:05  #5  
"Richard B. Woods"
Aug 2002
Wisconsin USA
1111000001100_{2} Posts 
Quote:
How about just adding, to the exponent status display, a little blurb recommending factordb.com for further details about factors? 

20131108, 05:41  #6  
Aug 2010
Kansas
547 Posts 
Quote:


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