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 Showing results 1 to 25 of 275 Search took 0.05 seconds. Search: Posts Made By: bhelmes
 2020-10-16, 19:44 Replies: 3 Views: 104 Posted By bhelmes runtime for the calculation of a quadratic residue A peaceful and pleasant day for you, What is the runtime of the jacobi / legendre / kronecker function in order to determine wether x is a quadratic residue concerning the prime p. Is this...
 Forum: Miscellaneous Math 2020-10-10, 20:46 Replies: 18 Views: 691 Posted By bhelmes "It is important to analize the the... "It is important to analize the the exponentiating" page 49. Greetings Bernhard
 Forum: Miscellaneous Math 2020-10-08, 11:23 Replies: 31 Views: 3,939 Posted By bhelmes A peaceful day, this is the end of a... A peaceful day, this is the end of a wonderful programming episode: Running of the program was only one day, I used 59 GByte Ram for storing the sieving primes, used ecm-library and a...
 2020-10-03, 17:03 Replies: 4 Views: 259 Posted By bhelmes Most people know the 9-rule in the decimalsystem ... Most people know the 9-rule in the decimalsystem which based on the fact that 10 = 1 mod 9 For Mersenne numbers it is the same reflection that 2^p = 1 mod 2^p -1
 2020-10-02, 20:22 Replies: 4 Views: 259 Posted By bhelmes calculation of modulo Mp A peaceful and pleasant day for you, I do not understand how the calculation modulo a Mersenne prime is made: https://en.wikipedia.org/wiki/Mersenne_prime: "Arithmetic modulo a Mersenne...
 2020-09-30, 17:38 Replies: 3 Views: 254 Posted By bhelmes A peaceful night for you, you are right,... A peaceful night for you, you are right, but this is not really new for me. You can transform the polynom for pollard rho in a 2x2 matrix and calculate the 2x2 matrix with fast...
 Forum: Miscellaneous Math 2020-09-29, 22:05 Replies: 31 Views: 3,939 Posted By bhelmes A peaceful and pleasant night for you, I... A peaceful and pleasant night for you, I have primes p ~ 120 bits big, I want to factorize p-1, I do a f=gcd (8*9*25*7*11*13*17*19*23*29*31*37*41, p-1) and check wether 2^[(p-1)/f]=1 mod p...
 Forum: Hardware 2020-09-19, 21:45 Replies: 10 Views: 646 Posted By bhelmes It is not possible. I have an Asus motherboard... It is not possible. I have an Asus motherboard 450 Plus and if a M.2 card is installed, the bios cut the 5. and 6. ssd disks. I will "experimentieren" a little bit with the M.2 card, I use it...
 Forum: Miscellaneous Math 2020-09-14, 17:36 Replies: 8 Views: 444 Posted By bhelmes You did not understand the algorithm. Have a... You did not understand the algorithm. Have a look at : http://devalco.de/quadr_Sieb_2x%5E2-1.php I improved the page and hope that the content is well described, if you have improvements,...
 Forum: Miscellaneous Math 2020-09-13, 04:53 Replies: 8 Views: 444 Posted By bhelmes f should be a proper divisor from the non prime... f should be a proper divisor from the non prime Mp, where Mp is a Mersenne number with prime p.
 Forum: Miscellaneous Math 2020-09-11, 23:00 Replies: 8 Views: 444 Posted By bhelmes factors of Mersenne numbers If f | Mp and p is prime then a) f | 2n²-1 b) but not f=2n²-1 a) is clear for me but b) is a guess (I checked some numbers)
 2020-09-09, 18:31 Replies: 3 Views: 404 Posted By bhelmes Thanks for this clear answer. :hello: :cmd: ... Thanks for this clear answer. :hello: :cmd: :pals:
 2020-09-09, 02:50 Replies: 3 Views: 404 Posted By bhelmes f(x,y)=x²+y², g(x,y)=x²-2y², h(x,y)=? A peaceful night for you, I am looking for the third biquadratic function, so that all primes are "covered" by these three functions. There is a relationship concerning the pyth. triples....
 Forum: Hardware 2020-09-09, 00:56 Replies: 10 Views: 646 Posted By bhelmes Generally, I want to write and read on one bigger... Generally, I want to write and read on one bigger divice in a RAID 0 array, where the average time to write and read is better than a solid device. I have one program which is greedy concerning...
 Forum: Hardware 2020-09-07, 18:06 Replies: 10 Views: 646 Posted By bhelmes A peaceful day for you, as far as I... A peaceful day for you, as far as I understand, linux regard the ssd-disk as a device and the M.2 also. The difference in speed may be small, the ssd-disks are pluged by the sata-bus, the...
 Forum: Hardware 2020-09-06, 19:50 Replies: 10 Views: 646 Posted By bhelmes integrating M.2 card in raid0 system I have 6 ssd disks, combined to a raid 0 system. Can I add a M.2 card in addition ? I have a linux mint system and I thought of increasing speed and huge. Greetings :brian-e:
 Forum: Miscellaneous Math 2020-08-28, 20:35 Replies: 31 Views: 3,939 Posted By bhelmes I have some datas up to 2^40 for the primesieving... I have some datas up to 2^40 for the primesieving for the polynomial f(n)=2n²-1; http://devalco.de/quadr_Sieb_2x%5E2-1.php#4a I think the density of "non reducible primes" (p=f(n)) is an...
 2020-08-14, 21:44 Replies: 5 Views: 1,432 Posted By bhelmes is the factorisation of Mp-1 an advantage ? A peaceful and pleasant night for you, if I know the factorisation or a part of the factorisation of Mp-1 do I have any advantages for checking the primality ? (Mp should be a Mersenne...
 Forum: Miscellaneous Math 2020-08-09, 15:49 Replies: 31 Views: 3,939 Posted By bhelmes A peaceful day for you, LaurV ... A peaceful day for you, LaurV I think I will use the function f(n)=2n²-1 from n=1 up to 2^40, will calculating the factors / primes f(m) with f>m and will storing the m for each f, will...
 Forum: Miscellaneous Math 2020-07-21, 22:54 Replies: 31 Views: 3,939 Posted By bhelmes In general : let f(n)=2n²-1 f(n0)=r ... In general : let f(n)=2n²-1 f(n0)=r then the substitution is n=f(n0)*k+n0 with the following division by f(n0) I think I will combine the sieving algorithm with the prediction by adding...
 Forum: Miscellaneous Math 2020-07-20, 20:20 Replies: 31 Views: 3,939 Posted By bhelmes A peaceful evening for you, perhaps my... A peaceful evening for you, perhaps my mathematical skill is not the best in explaining, but i am sure that the math behind it is right. Therefore I try again to explain it and will give an...
 Forum: Miscellaneous Math 2020-07-13, 17:58 Replies: 0 Views: 472 Posted By bhelmes quadratic reciprocity law for gaussian integer and pyth. triple A peaceful evening for you, I noticed that there exists a quadratic reciprocity law for gaussian integers: https://en.wikipedia.org/wiki/Quadra...ssian_integers...
 Forum: Miscellaneous Math 2020-05-21, 08:58 Replies: 31 Views: 3,939 Posted By bhelmes A peaceful day for you, LaurV who should... A peaceful day for you, LaurV who should type a 20 digits example ? I will give a second example which is working: f(n)=n²+1 f(92)=5*1693
 Forum: Miscellaneous Math 2020-05-20, 20:07 Replies: 31 Views: 3,939 Posted By bhelmes A peaceful and pleasant night for you, ... A peaceful and pleasant night for you, Perhaps I should explain the algorithm and the solution a little bit better. I have the factorisation of f(n)=n²+1=r*p where r element of N and p is...
 Forum: Miscellaneous Math 2020-05-16, 20:04 Replies: 31 Views: 3,939 Posted By bhelmes A peaceful and pleasant night for you, ... A peaceful and pleasant night for you, Yes, there is a mathematical possibility: f(x)=x²+1 f(27)=10*73
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