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 Showing results 1 to 12 of 12 Search took 0.01 seconds. Search: Posts Made By: bhelmes
 Forum: Miscellaneous Math 2020-09-29, 22:05 Replies: 29 Views: 3,390 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: Miscellaneous Math 2020-08-28, 20:35 Replies: 29 Views: 3,390 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...
 Forum: Miscellaneous Math 2020-08-09, 15:49 Replies: 29 Views: 3,390 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: 29 Views: 3,390 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: 29 Views: 3,390 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 2020-05-21, 08:58 Replies: 29 Views: 3,390 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: 29 Views: 3,390 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: 29 Views: 3,390 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
 Forum: Miscellaneous Math 2020-05-09, 18:56 Replies: 29 Views: 3,390 Posted By bhelmes if p=x²+1 then x | p-1 if p | (x²+1) ???... if p=x²+1 then x | p-1 if p | (x²+1) ??? Can I calculate q=x²+1 with q=r*p and x and r known; then f | p-1 ; f ??? If someone knows a good answer would be very nice to get it.
 Forum: Miscellaneous Math 2020-05-07, 21:47 Replies: 29 Views: 3,390 Posted By bhelmes A peaceful and pleasant night for you, if... A peaceful and pleasant night for you, if I regard only the primes p>=5 with p=x²+1 (x>1) and the primes p with p | (x²+1 ) with p > x can i derive any suggestion about the factorisation...
 Forum: Miscellaneous Math 2019-09-17, 14:20 Replies: 29 Views: 3,390 Posted By bhelmes A peaceful day for you, Let f(n)=2n²-1, n... A peaceful day for you, Let f(n)=2n²-1, n elem. of N i am looking for p|f(n) with p prime and t|(p-1) with t is prime and t > 56 bits can i make a better estimation than
 Forum: Miscellaneous Math 2019-08-26, 19:57 Replies: 29 Views: 3,390 Posted By bhelmes factorisation for p-1, p is prime A peaceful evening for everyone, is the factorisation of p-1, where p is prime, mathematical an easier problem than the factorisation of f*g, where f and g are unknown primes ? Thanks in...
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