Forum: Number Theory Discussion Group
2022-06-28, 20:48
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Replies: 1
Views: 257
non quadric residue of Q/Z
A peaceful and joyful night for you
if you consider the finite group of rationals modulo p resp. u/v mod p element of Q/Z
Is u/v a non quadratic residue,
if jacobi (u²+v², p)=-1 or
if...
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Forum: Number Theory Discussion Group
2022-06-08, 11:44
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Replies: 18
Views: 1,873
A peaceful and pleasant day for you,
I miss...
A peaceful and pleasant day for you,
I miss the case
4. g=1 and f odd
I am searching for x²+y²=m²+n²=d mod f, resp. two sums of squares with the same norm d mod f.
Algorithm:
choose a...
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Forum: Number Theory Discussion Group
2022-06-04, 18:25
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Replies: 18
Views: 1,873
A peaceful day for you,
Is there a known...
A peaceful day for you,
Is there a known algorithm for
x²+y²=m²+n²=d mod f
I think it is easier than to find x²+y²=0 mod p
Any interesting suggestion how to speed up Gimps ?
I really need...
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Forum: Number Theory Discussion Group
2022-05-19, 23:50
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Replies: 18
Views: 1,873
A peaceful and pleasant night for you,
if a...
A peaceful and pleasant night for you,
if a compositon of n=x²+y² exists and n not a prime,
how many different compostions exist depending of the number of factors of n ?
Please have patience...
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Forum: Number Theory Discussion Group
2022-05-07, 00:26
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Replies: 18
Views: 1,873
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Forum: Number Theory Discussion Group
2022-05-04, 23:38
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Replies: 18
Views: 1,873
n=a²+b²
A peaceful and pleasant night for you,
if n odd and not a square and n, a, b element N
how do I find (fast) the composition n=a²+b² ?
Thanks in advance if you spent me some lines or a link.
...
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Forum: Lounge
2022-04-15, 23:21
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Replies: 915
Views: 99,833
You just might be addicted to GIMPS if you are...
You just might be addicted to GIMPS if you are desperated that there is still no new Mp.
As you know that your computer can run 5% faster if you decrease the temperature by 10 degree,
you bay a...
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Forum: Miscellaneous Math
2022-04-02, 00:42
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Replies: 2
Views: 718
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Forum: Number Theory Discussion Group
2022-03-24, 23:12
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Replies: 10
Views: 2,827
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Forum: Lounge
2022-03-10, 20:34
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Replies: 9
Views: 651
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Forum: Miscellaneous Math
2022-03-10, 02:54
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Replies: 2
Views: 718
visualisations of primes / cycle representations
A peaceful night for you,
this is a visualisation for the exponentation of 2*2 matrixs with determant 1 mod f.
I think it is mathematical correct, but perhaps there might be a more beautiful...
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Forum: Number Theory Discussion Group
2022-03-08, 04:43
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Replies: 10
Views: 2,827
If I limit the 2x2matrixs to those with...
If I limit the 2x2matrixs to those with determinant equal 1, your sentence is of course right.
Unfortenately I see no way to get a factorisation result of f.
Is there a known factorisation...
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Forum: Number Theory Discussion Group
2022-03-03, 23:12
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Replies: 10
Views: 2,827
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Forum: Number Theory Discussion Group
2022-03-02, 03:04
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Replies: 10
Views: 2,827
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Forum: Number Theory Discussion Group
2022-02-28, 11:15
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Replies: 10
Views: 2,827
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Forum: Number Theory Discussion Group
2022-02-28, 08:46
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Replies: 10
Views: 2,827
E should be the unit matrix (1;0;0;1)
and...
E should be the unit matrix (1;0;0;1)
and there might be something similar to a p-1 test factorisation.
Perhaps I have reinvented a pollard p-1 test.
But at least I would know how fast my...
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Forum: Number Theory Discussion Group
2022-02-28, 01:09
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Replies: 10
Views: 2,827
factorisation for M^p=E mod f
A peaceful night for you,
Let M be a 2x2 matrix and p a prime with p>2 and f the number which should be factorized.
If I have succesful found a M and p with M^p=E mod f,
is there a way to detect...
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Forum: MattcAnderson
2022-02-15, 01:30
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Replies: 3
Views: 234
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Forum: Number Theory Discussion Group
2022-02-14, 05:10
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Replies: 4
Views: 1,885
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Forum: Lounge
2022-02-13, 23:43
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Replies: 915
Views: 99,833
You just might be addicted to GIMPS if you note...
You just might be addicted to GIMPS if you note happily that your house has a 100 amper fuse by 220 volt and you ask all your 14 neighbours in the house if they could reduce their power consumption,...
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Forum: Number Theory Discussion Group
2022-02-12, 04:08
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Replies: 1
Views: 435
hensel lifting or chinese remainder
A peaceful and pleasant night for you,
I know the hensel lifting in order to lift a zero point of a polynomial to a zero point of order 2.
Is it possible to get the same result with the chinese...
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Forum: Hardware
2022-02-09, 21:45
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Replies: 139
Views: 20,708
I pay 0,32 Euro / kwh in Germany, it is...
I pay 0,32 Euro / kwh in Germany, it is "ökostrom" means generated in Flensburg.
I think finding the next Mp will delight me a lot more.
The search for the next Mp seems to be difficult,
one good...
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Forum: PrimeNet
2022-02-06, 17:06
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Replies: 3
Views: 543
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Forum: PrimeNet
2022-02-06, 02:45
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Replies: 3
Views: 543
could not add my benchmark report
I did not succeeded in adding my benchmark report,
I used mprime -m, option 17,
[Work thread Feb 6 03:36] FFT timings benchmark complete.
[Work thread Feb 6 03:36] Worker stopped.
[Comm thread...
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Forum: Miscellaneous Math
2022-01-26, 02:12
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Replies: 19
Views: 3,933
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