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Forum: Miscellaneous Math 2020-10-11, 16:58
Replies: 4
Views: 323
Posted By RMLabrador
Just run this in some other than Pari/GP system ...

Just run this in some other than Pari/GP system
x = 251;
c = Fibonacci[x];
(*Solve[(((a*x+c-1)/((a*x-1)*x))^(-1))-(1/b)==0&&(x*a-1)*(b*x-1)
==c,{a,b},Integers]*)
Solve[((a + b)^2 + 4*a*b*(c - 1)...
Forum: Miscellaneous Math 2020-10-11, 16:30
Replies: 4
Views: 323
Posted By RMLabrador
i guess, "well known" is not true)) here, no...

i guess, "well known" is not true))
here, no mention about
http://www.maths.surrey.ac.uk/hosted-sites/R.Knott/Fibonacci/fibmaths.html#section2

and i can find 10+ links like this, and 0 link...
Forum: Miscellaneous Math 2020-10-10, 09:38
Replies: 2
Views: 192
Posted By RMLabrador
And of course, in the Mother Nature exist an...

And of course, in the Mother Nature exist an algorithm for get this polynomial not from factors, but direct from value of 2^n+1. I have the wireld one, and now going to learn C++))
Forum: Miscellaneous Math 2020-10-10, 09:30
Replies: 2
Views: 192
Posted By RMLabrador
a^6-a^4-a^2+a-1=641 use Monade))) ...

a^6-a^4-a^2+a-1=641

use Monade)))

(641+1)/3=214
(214-1)/3=71
(71+1)/3=24
24/3=8
(8+1)/3=3
3=a so (((a^2-1)*a*a-1)*a+1)*a-1 - monadic polinomial, and if we do the same for the second part...
Forum: Miscellaneous Math 2020-10-10, 09:23
Replies: 2
Views: 192
Posted By RMLabrador
In honor of my old friend, Gottfried Wilhelm Leibniz, or Monadic factorisation of 2^n+1

2^n+1 rewrite as x^n+1 (1), let k*a^n+1/0/-1, a=3 so-called Monada for all n in(1), and for example if x=2, n=32, numeric value of (1) factored as ...
Forum: Miscellaneous Math 2020-10-10, 08:31
Replies: 4
Views: 323
Posted By RMLabrador
Interesting. It is not so hard to write some...

Interesting. It is not so hard to write some simple code, like this (Pari GP)

forprime(n=11,900,x=Mod(factorint(fibonacci(n)),n);print(n,lift(x)))

and see, that posted above is true for all...
Forum: Miscellaneous Math 2020-10-09, 06:52
Replies: 4
Views: 323
Posted By RMLabrador
Factors of Fibonacci numbers

Greetings.
The factors of Fibonacci numbers:
For prime p:
F(p)=\prod_{i=1}^{m} (k_{i}\cdot p\pm 1)
For an any n
n=p_{1}^{t1}\cdot p_{2}^{t2}\cdot...\cdot p_{k}^{tk}

F(n)=\prod_{i=1}^{m}...
Forum: Miscellaneous Math 2020-10-06, 10:42
Replies: 56
Views: 3,705
Posted By RMLabrador
А чи не вкинути нам трішки гівна у вентилятор?)) ...

А чи не вкинути нам трішки гівна у вентилятор?))
My life means nothing in the Great Equation! (Thodin, Astral-B Pair)

This was fun!
So, lets continue) Factors of Fibonacci numbers.
If p is...
Forum: Miscellaneous Math 2020-09-24, 14:47
Replies: 56
Views: 3,705
Posted By RMLabrador
Fibonacci vs Lucas))) Stupid me - 100%. I'n even...

Fibonacci vs Lucas))) Stupid me - 100%. I'n even correct the post, in the post, were link with hyperbolae, started as Fibonacci. Please, exuse me.
Forum: Miscellaneous Math 2020-09-24, 14:11
Replies: 56
Views: 3,705
Posted By RMLabrador
Certainly, I mean, Fermat and Lucas Pseudoprimes...

Certainly, I mean, Fermat and Lucas Pseudoprimes do not intercept at any p
Forum: Miscellaneous Math 2020-09-24, 13:34
Replies: 56
Views: 3,705
Posted By RMLabrador
)) There is no problem! Please, read my post...

)) There is no problem! Please, read my post above, this IS the proof about Fermat and Lucas probable prime do not inteecept or not? Its important, as far as I'm too do not understead, that I'm...
Forum: Miscellaneous Math 2020-09-24, 11:15
Replies: 56
Views: 3,705
Posted By RMLabrador
Ok. Once again, very well. Good, good...

Ok. Once again, very well. Good, good explanation, that explain all and not explain nothing at the same time)) I'm try to explain, feel free to correct me - I'm not mathematician. Only month ago or...
Forum: Miscellaneous Math 2020-09-23, 08:34
Replies: 56
Views: 3,705
Posted By RMLabrador
Someone even quietly, without notice, changed the...

Someone even quietly, without notice, changed the name of the topic)))))
He's an asshole, proven by themselves.
Forum: Miscellaneous Math 2020-09-22, 09:29
Replies: 56
Views: 3,705
Posted By RMLabrador
Very well! we can easy compute the b(u) value,...

Very well! we can easy compute the b(u) value, numerical value
and it seems to be ok.
1) lets try to proof, that only 2 types of pseoudoprimes break a symmetry in the modulo case and
a) Carmichael...
Forum: Miscellaneous Math 2020-09-19, 08:04
Replies: 56
Views: 3,705
Posted By RMLabrador
(10:14) gp > { n=5;...

(10:14) gp > { n=5; A=[1,1;1,u];P=[1,1;1,n-u+2];A=P^n-A^n; P=[0,1;1,0];A*=P; print((trace(A)))}
-60*u^3 + 630*u^2 - 3170*u + 5950
(10:15) gp > { n=5; A=[1,1;1,u];P=[1,1;1,n-u+2];A=P^n-A^n;...
Forum: Miscellaneous Math 2020-09-17, 13:24
Replies: 56
Views: 3,705
Posted By RMLabrador
AKS, i'm aware about) Symmetry is much better....

AKS, i'm aware about) Symmetry is much better. Currently, I'm going on to the proof that not exist even false (from modulo flaw) symmetry break in the form of [u,p-1;p-1,u]
Forum: Miscellaneous Math 2020-09-17, 07:04
Replies: 56
Views: 3,705
Posted By RMLabrador
Ще один спосіб - вивести формулу для...

Ще один спосіб - вивести формулу для коеффіцієнтів поліному b(u). Звичайно, перевіряти подільність кожного з них на число p буде досить маразматично, однак цілком можливо, що така формула дасть...
Forum: Miscellaneous Math 2020-09-17, 06:24
Replies: 56
Views: 3,705
Posted By RMLabrador
The symmetry is the key to build test.I'm the...

The symmetry is the key to build test.I'm the only one here who sees symmetry???
check this.23343
in this form, no counterexamples, no one pseudoprime will pass this test. Problem in computation of...
Forum: Miscellaneous Math 2020-09-16, 14:04
Replies: 56
Views: 3,705
Posted By RMLabrador
No need to compute them all. Answer in the...

No need to compute them all. Answer in the symmetry of this polynoms/
Just try compare their value modulo p for u and then for p-u+2 when p is prime
Here http:\\romanvm-prime.com this is theorem 2...
Forum: Miscellaneous Math 2020-09-16, 12:57
Replies: 56
Views: 3,705
Posted By RMLabrador
Until now! Do You Listen to the wind of...

Until now!
Do You Listen to the wind of changes?))

As i can see, this is u-independent test, u do not needed at least in theory, and can be =0.
At this place, i can easy do the wrong statement,...
Forum: Miscellaneous Math 2020-09-16, 07:09
Replies: 56
Views: 3,705
Posted By RMLabrador
Yes it is. There is my fault. If we look what...

Yes it is. There is my fault. If we look what exactly the last test doing - do the analytical result of powering matrix and computing spur, the result is polynomial of u with integer, positive and...
Forum: Miscellaneous Math 2020-09-15, 11:10
Replies: 56
Views: 3,705
Posted By RMLabrador
Well, I'm explain why, not my fault if someone do...

Well, I'm explain why, not my fault if someone do not understand or do not at least check this out. This is my poor English. For the small u values, if we rise matrix to power without of modulo on...
Forum: Miscellaneous Math 2020-09-15, 09:49
Replies: 56
Views: 3,705
Posted By RMLabrador
I'm one, who know. I'm reveal the part (of...

I'm one, who know.
I'm reveal the part (of rules) and they resembling the card game)
I can proof of this my claim for now, but just like recurrent sequence represent deferential equation, mention...
Forum: Miscellaneous Math 2020-09-15, 07:53
Replies: 56
Views: 3,705
Posted By RMLabrador
At any rate, I am convinced that He [God] does...

At any rate, I am convinced that He [God] does not play dice./ Albert Einstein

As mentioned, God do not play dice. Its true, I am convinced that He play Cards instead. /Roman V. Makarchuk
...
Forum: Miscellaneous Math 2020-09-13, 17:39
Replies: 56
Views: 3,705
Posted By RMLabrador
make test for u+1 for this case Thank You for...

make test for u+1 for this case
Thank You for the link!
Showing results 1 to 25 of 34

 
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