Forum: Miscellaneous Math
2021-01-05, 01:58
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Replies: 9
Views: 202
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Forum: Number Theory Discussion Group
2021-01-05, 01:42
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Replies: 0
Views: 106
special quadratic polynomials : f(n)=an²+bn+1
A peaceful night for you,
I noticed for some quadratic polynomial, such as f(n)=n²+1, f(n)=2n²-1, f(n)=2n²+1 and f(n)=4n²+1 you can make a linear substitution with n=p*k+n0 with p|f(n) and...
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Forum: Number Theory Discussion Group
2021-01-01, 21:00
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Replies: 1
Views: 153
a p+1 factoring test for Mp ?
A peaceful and pleasent new year 2021,
Is a p+1 factoring test for Mp possible or not ?
You could use complex numbers and make a similar factoring test like p-1.
In the section math there...
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Forum: Number Theory Discussion Group
2020-12-26, 01:48
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Replies: 3
Views: 313
It is always a pleasure to read your clear...
It is always a pleasure to read your clear explications, many thanks for your support.
I am still missing the next Mersenne Prime number,
by all the amazing amount of work in 2020 there will...
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Forum: Number Theory Discussion Group
2020-12-20, 03:31
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Replies: 3
Views: 313
rational points on the unit circle
A peaceful and pleasant night for you,
I found the text in the english Wikipedia:
https://en.wikipedia.org/wiki/Group_of_rational_points_on_the_unit_circle#Group_structure
I did not...
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Forum: Number Theory Discussion Group
2020-12-16, 02:28
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Replies: 1
Views: 125
a prime sieve for f(n)=n⁴+1
A peaceful night,
the sieve algorithm for the function f(n)=2n²-1 was too slow,
even with some improvements.
The function f(n)=n^p-1 increase too fast for practical use.
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Forum: Hardware
2020-12-08, 04:27
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Replies: 0
Views: 262
hardware donation : 4*8Gb Ecc ram
A peacefull time in the advent,
I have 4*8 Gb Samsung 2Rx3 PC-3 10600R-09-10-E1-P1
M393B1K70CH0-CH9 and will send it as present for someone
I could not check the Rams, because I have no...
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Forum: Number Theory Discussion Group
2020-12-02, 00:39
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Replies: 10
Views: 938
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Forum: ONeil
2020-11-15, 21:40
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Replies: 48
Views: 1,670
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Forum: Hardware
2020-11-15, 19:03
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Replies: 1
Views: 509
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Forum: Miscellaneous Math
2020-11-13, 21:40
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Replies: 1
Views: 346
(a/b) mod p ?
What is the fastest way to calculate a rational number a/b with a, b element N and gcd (b,p)=1 mod p where the result is in N ? :geek: :uncwilly: :gah:
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Forum: Number Theory Discussion Group
2020-11-12, 01:52
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Replies: 10
Views: 938
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Forum: Number Theory Discussion Group
2020-11-10, 16:14
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Replies: 10
Views: 938
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Forum: Number Theory Discussion Group
2020-11-08, 17:43
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Replies: 10
Views: 938
linear substitution and sieving
A peaceful and pleasant day for you,
I have a sieving construction for f(n)=2n²-1,
(that means that every prime p with p | f(n) sieves at two n1 and n2 periodically with p the field for n=0 ......
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Forum: Number Theory Discussion Group
2020-11-02, 20:28
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Replies: 12
Views: 926
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Forum: Number Theory Discussion Group
2020-11-02, 18:40
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Replies: 12
Views: 926
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Forum: Number Theory Discussion Group
2020-11-01, 20:00
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Replies: 12
Views: 926
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Forum: Number Theory Discussion Group
2020-11-01, 09:25
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Replies: 12
Views: 926
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Forum: Number Theory Discussion Group
2020-10-31, 18:57
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Replies: 12
Views: 926
(16+29i)²=(25+13i) mod 61
(25+13i) can be...
(16+29i)²=(25+13i) mod 61
(25+13i) can be mirrored at the main diagonale,
so that the point of the unit circle (13+25i) "=" (25+13i)
tan (alpha)=3/4, tan (alpha/2)=(5-4)/3=1/3 if this helps
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Forum: Number Theory Discussion Group
2020-10-31, 03:35
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Replies: 12
Views: 926
calculation of the non quadratic residium
A peaceful and pleasant night for you,
I know that from the pyth. trippel (3, 4, 5) - > 3/5, 4/5 mod 61 = (13+25i)
1. and that (13+25i)^30 = 1 mod 61
2. and |16+29i| = (16²+29²) =...
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Forum: Number Theory Discussion Group
2020-10-16, 19:44
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Replies: 3
Views: 588
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Forum: Miscellaneous Math
2020-10-10, 20:46
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Replies: 18
Views: 1,624
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Forum: Miscellaneous Math
2020-10-08, 11:23
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Replies: 31
Views: 7,673
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...
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Forum: Number Theory Discussion Group
2020-10-03, 17:03
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Replies: 4
Views: 1,019
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Forum: Number Theory Discussion Group
2020-10-02, 20:22
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Replies: 4
Views: 1,019
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...
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