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 Showing results 1 to 25 of 51 Search took 0.03 seconds. Search: Posts Made By: RomanM
 Forum: Miscellaneous Math 2022-07-08, 18:16 Replies: 1 Views: 236 Posted By RomanM On the mod(x^2,p)=mod(x^2,p^2)=mod(x^2,p^3) = and so on at the sample, let p =101*109 and x = 583379708211 x^2 mod p ==x^2 mod p^2 ==x^2 mod p^3 == x^2 mod p^4 =3955 I guess, for any n, p, x in Z, there is x, x^2 mod p^(n-k) == B for k = 0,..,n-1;
 Forum: Miscellaneous Math 2022-06-23, 12:20 Replies: 2 Views: 313 Posted By RomanM some symmery ListPlot[mpoint[#, 4] & /@... some symmery ListPlot[mpoint[#, 4] & /@ ((Prime[#]/EulerPhi[#]) & /@ Range[15000]), Axes -> True, AspectRatio -> Automatic] on the graph is connection Euler Phi(n) and n-prime number, and it's...
 Forum: Miscellaneous Math 2022-06-18, 19:57 Replies: 2 Views: 313 Posted By RomanM Hello. ListPlot[mpoint[#, 4] & /@ ((Prime[2*#]... Hello. ListPlot[mpoint[#, 4] & /@ ((Prime[2*#] - 2*Prime[#]) & /@ Range[15000]), Axes -> True, AspectRatio -> Automatic] what do you think, is it possible to have a prime related function...
 Forum: Miscellaneous Math 2022-06-12, 16:27 Replies: 2 Views: 313 Posted By RomanM Ulam spirale, envolved to Hi. Plot code was taken from here https://community.wolfram.com/groups/-/m/t/1543056 mgonLayer[q_, m_] := Ceiling[1/2 (1 + Sqrt[-8 + m + 8 q]/Sqrt[m])] - 1 maround[q_, m_] := q - (1 + m/2...
 Forum: Miscellaneous Math 2022-01-31, 20:05 Replies: 19 Views: 1,805 Posted By RomanM it is common knowledge that \lim_{n \rightarrow... it is common knowledge that \lim_{n \rightarrow \infty}\frac{sin(n+1)\phi}{sin(n\phi)}=e^{i\phi} its joke, on 50/50 percent) If every prime number can be associated with a "prime angle" i.e....
 Forum: Miscellaneous Math 2022-01-24, 19:55 Replies: 17 Views: 1,998 Posted By RomanM prime numbers boring. take a look into prime... prime numbers boring. take a look into prime angles
 Forum: Miscellaneous Math 2022-01-24, 10:47 Replies: 17 Views: 1,998 Posted By RomanM 997 shot of "vaccine "gives immortality 997 shot of "vaccine "gives immortality
 Forum: Miscellaneous Math 2021-12-22, 14:11 Replies: 2 Views: 572 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: 572 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: 1,524 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: 472 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: 912 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: 912 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: 912 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: 1,244 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: 912 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: 620 Views: 96,195 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: 912 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: 620 Views: 96,195 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: 620 Views: 96,195 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: 6,043 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: 6,043 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: 527 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: 53 Views: 8,841 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: 7,250 Posted By RomanM Much better this way, this series converges... Much better this way, this series converges absolutely) sum = sum + (-1)^n/Mexponent[[n]]
 Showing results 1 to 25 of 51

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