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Search: Posts Made By: RomanM
Forum: Miscellaneous Math 2021-12-22, 14:11
Replies: 2
Views: 124
Posted By RomanM
Ok. Thank You. I won't even ask why

Ok. Thank You.
I won't even ask why
Forum: Miscellaneous Math 2021-12-22, 13:59
Replies: 2
Views: 124
Posted By RomanM
An extension of NFS

Hi.
Both QS and NFS stuck with famouse A^2==B^2 mod p.
If we look on the A^3==B^3 mod p that do the split also (30% vs 50% for quadratic)
and in general to A^n==B^n*m & B^m=y mod p?? (1)
as a...
Forum: Homework Help 2021-12-15, 18:47
Replies: 2
Views: 343
Posted By RomanM
Casus of x^3+1

Do You know that
(2*(x^2+1)^3-7))^2\equiv3^4\ mod\ x^3+1
for all x in Z, abs(x)>=5???
Forum: Miscellaneous Math 2021-12-01, 16:37
Replies: 1
Views: 151
Posted By RomanM
Approximation of r by m^(1/n)

r\pm\epsilon=\sqrt[n]{m}
where r - real root of polynomial P(r), order >=6, and m, n - integers, and P(r+/-eps)<1
P.S. I'm suspect that the simpler the question look like, the less likely it is to...
Forum: Miscellaneous Math 2021-11-18, 17:43
Replies: 7
Views: 429
Posted By RomanM
I'm slowly came to understand this! Thanks! ...

I'm slowly came to understand this! Thanks!
this originlal formula.
mod((a*m^3+1/2*a*C)^2,m^5+C*m^2-1/4*a^2*C^2-4/a^2*m)=A
a=2, C=1 and we have a silly me with super obvios (2m^3+1)^2=blah...
Forum: Miscellaneous Math 2021-11-18, 15:42
Replies: 7
Views: 429
Posted By RomanM
And what? nor m^5+1, m^2*(m^3+1)= m^5+m^2 I...

And what?
nor m^5+1, m^2*(m^3+1)= m^5+m^2 I make an error here
if we take some big m and compute mod((2*m^3+1)^2, m^5+m^2)=1, than compute
mod((2*m^3+1)^2, m^5+m^2+1)=A, A will be relative small...
Forum: Miscellaneous Math 2021-11-18, 11:11
Replies: 7
Views: 429
Posted By RomanM
(2x^{3}+y^{3})^{2}\equiv y^{6}\;...

(2x^{3}+y^{3})^{2}\equiv y^{6}\; mod\;x^{2}(x^{3}+y^{3}); \; y\neq0,\; x,y\in Z

i.e. A^2==B^2 mod p, p=x^2(x^3+y^3); May be this too obviosly and known??? Let y=1 and we can easy factor m^5+1 for...
Forum: Miscellaneous Math 2021-11-16, 17:18
Replies: 5
Views: 817
Posted By RomanM
https://www.alpertron.com.ar/ECM.HTM

https://www.alpertron.com.ar/ECM.HTM
Forum: Miscellaneous Math 2021-11-16, 15:05
Replies: 7
Views: 429
Posted By RomanM
Thank You for the answer! The above arose from...

Thank You for the answer! The above arose from this (2m^{3}\pm1)^{2}\equiv1\; mod\;m^{5}\pm m^{2}
but m^5+-m^2 is narrow number to match any chosen p. If m=x/y; all much more interesting; if we...
Forum: Miscellaneous Math 2021-11-16, 10:11
Replies: 529
Views: 51,842
Posted By RomanM
Here is her Temple. There are also Prophets and...

Here is her Temple. There are also Prophets and Archbishops, followers and sinners) Perhaps there is even a Pope?
Forum: Miscellaneous Math 2021-11-16, 08:49
Replies: 7
Views: 429
Posted By RomanM
A small question from the lost book

I'm found this in the old book, that imply a solution; there are missing pages

Let x^{2}(x^{3}+y^{3})=p+\epsilon \quad x,y,p,\epsilon \in\ Z

How to find the smallest value of epsilon for given...
Forum: Miscellaneous Math 2021-11-16, 08:23
Replies: 529
Views: 51,842
Posted By RomanM
She is The Goddess Who Must Not Be Named) On the...

She is The Goddess Who Must Not Be Named) On the Earth and Discworld (by Terry Pratchett), also known as (again see the First rule), as Mrs. L.
Forum: Miscellaneous Math 2021-11-11, 20:32
Replies: 529
Views: 51,842
Posted By RomanM
it's not meant to be, as say mrs. F!

it's not meant to be, as say mrs. F!
Forum: Miscellaneous Math 2021-10-13, 15:15
Replies: 52
Views: 3,168
Posted By RomanM
Indeed. His omniscience suggests that it is...

Indeed. His omniscience suggests that it is necessary to substantially limit both omnipotence and omniscience. and then holy Bible marasmus and mersenneforum are not far away

I asked my neighbor...
Forum: Miscellaneous Math 2021-10-12, 17:29
Replies: 52
Views: 3,168
Posted By RomanM
***

God is almighty. ok. Let God create a BIG Stone, that is too big to god can't lift by blessed god arms, ok Seems that God is not too Almighty??? No. it's obviously. He just do not do such things.
Forum: Miscellaneous Math 2021-08-26, 15:01
Replies: 0
Views: 339
Posted By RomanM
Inverse of FFT multiplication?

on the sample
101*109=11009 (1)
let x=10
x^4+x^3+9
at the same time
(x^2+1)*(x^2+9)=x^4+10*x^2+9
i.e.
x^4+x^3+9-(x^3-10*x^2)=x^4+10*x^2+9
Bold polinomial exist for any composite.
So if we...
Forum: Dobri 2021-08-26, 13:25
Replies: 50
Views: 3,057
Posted By RomanM
100+ years old talk to Doctor -friend of...

100+ years old talk to Doctor

-friend of mine tell me, that he can have sex in row at the one night, and I can not, Help me!
-Ok, its very easy to Help! You just can tell him that You can do the...
Forum: Miscellaneous Math 2021-08-20, 14:57
Replies: 45
Views: 3,799
Posted By RomanM
Much better this way, this series converges...

Much better this way, this series converges absolutely) sum = sum + (-1)^n/Mexponent[[n]]
Forum: Miscellaneous Math 2021-07-31, 15:19
Replies: 20
Views: 1,900
Posted By RomanM
Of course! And quiet too on Peltier elements)...

Of course! And quiet too on Peltier elements) This joke mainly about our understanding of life consciousness

No. Talk was about quadratric case; yes for higher orders.
...
Forum: Miscellaneous Math 2021-07-30, 18:22
Replies: 20
Views: 1,900
Posted By RomanM
First, I dont know whether its well known or new....

First, I dont know whether its well known or new. Second - the spirit of this place! And third, connected with second, plenty of unborn ideas glimpse close to our sight, here I can catch them. Thank...
Forum: Miscellaneous Math 2021-07-30, 10:30
Replies: 20
Views: 1,900
Posted By RomanM
Once again, it's heuristic! There need a genius...

Once again, it's heuristic! There need a genius to shed the light why it work!

For higher orders, I have no working code. This is not mean that is impossible.
Forum: Miscellaneous Math 2021-07-29, 19:24
Replies: 20
Views: 1,900
Posted By RomanM
) we start from (b-y)^2? For cube, (b-y)^3 must...

) we start from (b-y)^2? For cube, (b-y)^3 must be expanded (b^3-3*b^2*y+3*b*y^2-y^3) and solved in whole by the same manner, without any simplification from the start. And I'm stuck with imaginary...
Forum: Miscellaneous Math 2021-07-29, 18:39
Replies: 20
Views: 1,900
Posted By RomanM
-How does the refrigerator work? -Grmmmmmmmmmm ...

-How does the refrigerator work?
-Grmmmmmmmmmm
Old joke.
b=mod(u^n,p); a=mod(b^n,p)
b^2-a is a multiple of p for any integer n>0, I don't know the behavior of epsilon for every n, but seems that...
Forum: Miscellaneous Math 2021-07-28, 20:21
Replies: 20
Views: 1,900
Posted By RomanM
Ok! 1. Code find the values of t>sqrt(p) (p -...

Ok!
1. Code find the values of t>sqrt(p) (p - any number. Can be prime or composite), for those mod(t^2,p)<sqrt(p) and do this in a very unusual way, far away from common approach.
Algorithm is...
Forum: Miscellaneous Math 2021-07-27, 19:41
Replies: 20
Views: 1,900
Posted By RomanM
Factorization of numbers.

Factorization of numbers.
Showing results 1 to 25 of 44

 
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