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Search: Posts Made By: grandpascorpion
Forum: Math 2012-03-20, 17:00
Replies: 15
Views: 1,892
Posted By grandpascorpion
True, Dr.. It's odd that they use the terms...

True, Dr.. It's odd that they use the terms interchangeably at MathWorld. They do the same for the Miller-Rabin test.

Would you have anything on-line regarding that search?


Gammatester: ...
Forum: Math 2012-03-20, 15:12
Replies: 15
Views: 1,892
Posted By grandpascorpion
Composites that pass Mathematica's pseudoprime test

http://mathworld.wolfram.com/LucasPseudoprime.html

"Mathematica versions 2.2 and later have implemented the multiple Rabin-Miller test in bases 2 and 3 combined with a Lucas pseudoprime test as...
Forum: Science & Technology 2010-05-24, 13:59
Replies: 20
Views: 1,558
Posted By grandpascorpion
RIP, Mr. Gardner (P standing for puzzles of...

RIP, Mr. Gardner (P standing for puzzles of course :) )
Forum: Factoring 2010-03-11, 16:28
Replies: 84
Views: 8,798
Posted By grandpascorpion
Very exciting stuff

Very exciting stuff
Forum: Lounge 2010-01-26, 18:15
Replies: 289
Views: 12,151
Posted By grandpascorpion
A Swedish friend mentioned one that I had never...

A Swedish friend mentioned one that I had never thought of before:

Mispronouncing avocado as avacado
Forum: Math 2009-11-10, 20:44
Replies: 2
Views: 409
Posted By grandpascorpion
Fair enough, it's trivial, too trivial to label...

Fair enough, it's trivial, too trivial to label it an identity even. I was just wondering if it could be useful like say the Aurifeuillian factorizations are.
Specifically, if it was useful in...
Forum: Math 2009-11-10, 17:25
Replies: 2
Views: 409
Posted By grandpascorpion
Useful Identity?

I was fiddling around with WolframAlpha the other day and came across this identity:

(x^(n+3)+x^n + x + 1) = (x+1)*(x^(n+2)-x^(n+1)+x^n+1)

I hadn't seen it before and I was wondering if it's...
Forum: Software 2009-10-29, 01:44
Replies: 6
Views: 533
Posted By grandpascorpion
This gave me a good laugh.

This gave me a good laugh.
Forum: Math 2009-10-07, 01:38
Replies: 6
Views: 390
Posted By grandpascorpion
Thanks, CR

Thanks, CR
Forum: Math 2009-10-06, 14:43
Replies: 6
Views: 390
Posted By grandpascorpion
If r is prime though, both r and 2r will have the...

If r is prime though, both r and 2r will have the same phi. So, you would add two solutions there.
Forum: Math 2009-10-06, 01:45
Replies: 6
Views: 390
Posted By grandpascorpion
Phi Question

I was wondering if there's a conjecture or proven theorem for the following:

For every integer m > 1, there exists a positive integer n, such that are exactly

m different positive integers x...
Forum: Programming 2009-10-01, 02:14
Replies: 7
Views: 6,931
Posted By grandpascorpion
Ugly but portable :) . Thanks.

Ugly but portable :) . Thanks.
Forum: Programming 2009-10-01, 01:03
Replies: 7
Views: 6,931
Posted By grandpascorpion
Unfortunately, %llu doesn't work for Mingw but...

Unfortunately, %llu doesn't work for Mingw but thanks for the stdint tip.
It's unlikely I would port it but if so I could I always have conditional compilation based on that format string.
Forum: Programming 2009-10-01, 00:28
Replies: 7
Views: 6,931
Posted By grandpascorpion
Mea culpa

Sorry, I see my error.

I was doing calculations with an "unsigned long int" and wasn't doing an apparently necessary cast to "unsigned long long int". Both using the long long type and...
Forum: Programming 2009-09-30, 23:57
Replies: 7
Views: 6,931
Posted By grandpascorpion
Using long long's in Mingw with 32-bit Windows XP

Hi,

I'm using Mingw version 5.1.6 within Windows XP (32-bit).

I'd like to use 64-bit integers within C code but I'm running into problems.

unsigned long z = 2*3*4*5*6*7*8*9*10*11*12;
...
Forum: Math 2009-09-23, 03:30
Replies: 11
Views: 840
Posted By grandpascorpion
Sorry, I see what you mean. The sums are what...

Sorry, I see what you mean. The sums are what I'm looking for but the relevance to your posts regarding 2nd differences involves computing the differences (e.g. what you showed with 36400).
Forum: Math 2009-09-20, 16:31
Replies: 11
Views: 840
Posted By grandpascorpion
Actually ther\ latter relation is precisely for...

Actually ther\ latter relation is precisely for what I'm looking to find solutions (for i=1,2 ... k where k>=6 and all the variables involved are integers). And, there's no need to square both sides...
Forum: Math 2009-09-16, 22:38
Replies: 11
Views: 840
Posted By grandpascorpion
Thank you maxal. Very interesting paper.

Thank you maxal. Very interesting paper.
Forum: Math 2009-09-16, 16:51
Replies: 11
Views: 840
Posted By grandpascorpion
Thank you both for your feedback. I wonder...

Thank you both for your feedback.

I wonder if a better tack would be to check if one (or more) of these polynomials (in three variables: n,d and k) can be factored into two smaller polynomials...
Forum: Math 2009-09-16, 13:36
Replies: 11
Views: 840
Posted By grandpascorpion
Diophantine Question

I have a 4th degree polynomial F(k) and I'm looking for a algorithm/heuristic to find solutions of the form: f(k) = r^2 where k, r, and F(x)'s coefficients are all integers.

(I'm looking for...
Forum: Programming 2009-05-24, 21:44
Replies: 4
Views: 639
Posted By grandpascorpion
Why not use const int rather than define?

Why not use const int rather than define?
Forum: Puzzles 2008-12-06, 06:05
Replies: 16
Views: 1,158
Posted By grandpascorpion
By the way, I checked through 4 billion. No...

By the way, I checked through 4 billion. No results for 15. I'm done for now anyways :)
Forum: Puzzles 2008-12-05, 15:32
Replies: 16
Views: 1,158
Posted By grandpascorpion
13-bad : 1746334757 14-bad : 3170297129 ...

13-bad : 1746334757
14-bad : 3170297129

(minimal primes this time)
Forum: Puzzles 2008-12-05, 05:46
Replies: 16
Views: 1,158
Posted By grandpascorpion
Ah, right again. Back to the drawing board ...

Ah, right again. Back to the drawing board ...
Forum: Puzzles 2008-12-04, 22:28
Replies: 16
Views: 1,158
Posted By grandpascorpion
13 226936710 (first even minimum)

13 226936710 (first even minimum)
Showing results 1 to 25 of 503

 
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