Showing posts with label practical mathematics. Show all posts
Showing posts with label practical mathematics. Show all posts

Thursday, June 13, 2019

ABC and ABCDN formats for input to LLR and PFGW - numeric construction

With the creation of organised projects for prime number searching, and the retirement of some of the leading C program creators, the knowledge about ABC and ABCDN format is harder to find.

Here I gather a few links (see references) and show a source code sample that will help point you in the right direction.



LLR is great for standard formats (commonly mined prime areas) and is able to cope with many different formats, however where you differ from some of the more common +1 and -1 forms, the following warning is given in the program readme:
- K*b^n+c numbers with |c| < > 1 or k > b^n can only be PRP tested.

If the number is found PRP, the % of factorization is then shown,
     but note that it is relevant only if c == +1 or -1...


References and links:
  • LLR implements "Lucas-Lehmer-Riesel" and Proth algorithms - source
  • OpenPFGW - source
  • OpenPFGW page about ABC and ABC2 and ABCD - text
  • Caldwell pages at University of Tennesse at Martin - program links

Sunday, August 21, 2011

The death of week numbers - and browser help

Used to be a time when workers in offices had week numbers marked at the bottom of the page, of a desktop paper diary.

Managers and others with budget responsibilities found these particularly useful

Now folks are using smartphone calendars, Google calendars, or Lightning to help with their planning.


Marathon preparation - 12 weeks or so right?

Question: When do I need to start my running preparation if my Marathon is 1st December?

The simple answer is 48-12 = week commencing 5th September .... but some images make it clearer.


...and for folks who live in a web browser rather than at the command line ...