Forum: Miscellaneous Math
2020-10-11, 16:58
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Replies: 4
Views: 521
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Forum: Miscellaneous Math
2020-10-11, 16:30
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Replies: 4
Views: 521
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...
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Forum: Miscellaneous Math
2020-10-10, 09:38
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Replies: 2
Views: 385
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Forum: Miscellaneous Math
2020-10-10, 09:30
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Replies: 2
Views: 385
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...
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Forum: Miscellaneous Math
2020-10-10, 09:23
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Replies: 2
Views: 385
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Forum: Miscellaneous Math
2020-10-10, 08:31
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Replies: 4
Views: 521
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...
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Forum: Miscellaneous Math
2020-10-09, 06:52
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Replies: 4
Views: 521
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}...
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Forum: Miscellaneous Math
2020-10-06, 10:42
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Replies: 56
Views: 5,766
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Forum: Miscellaneous Math
2020-09-24, 14:47
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Replies: 56
Views: 5,766
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Forum: Miscellaneous Math
2020-09-24, 14:11
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Replies: 56
Views: 5,766
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Forum: Miscellaneous Math
2020-09-24, 13:34
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Replies: 56
Views: 5,766
)) 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...
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Forum: Miscellaneous Math
2020-09-24, 11:15
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Replies: 56
Views: 5,766
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...
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Forum: Miscellaneous Math
2020-09-23, 08:34
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Replies: 56
Views: 5,766
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Forum: Miscellaneous Math
2020-09-22, 09:29
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Replies: 56
Views: 5,766
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...
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Forum: Miscellaneous Math
2020-09-19, 08:04
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Replies: 56
Views: 5,766
(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;...
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Forum: Miscellaneous Math
2020-09-17, 13:24
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Replies: 56
Views: 5,766
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Forum: Miscellaneous Math
2020-09-17, 07:04
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Replies: 56
Views: 5,766
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...
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Forum: Miscellaneous Math
2020-09-17, 06:24
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Replies: 56
Views: 5,766
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...
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Forum: Miscellaneous Math
2020-09-16, 14:04
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Replies: 56
Views: 5,766
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...
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Forum: Miscellaneous Math
2020-09-16, 12:57
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Replies: 56
Views: 5,766
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,...
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Forum: Miscellaneous Math
2020-09-16, 07:09
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Replies: 56
Views: 5,766
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...
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Forum: Miscellaneous Math
2020-09-15, 11:10
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Replies: 56
Views: 5,766
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Forum: Miscellaneous Math
2020-09-15, 09:49
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Replies: 56
Views: 5,766
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...
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Forum: Miscellaneous Math
2020-09-15, 07:53
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Replies: 56
Views: 5,766
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Forum: Miscellaneous Math
2020-09-13, 17:39
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Replies: 56
Views: 5,766
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