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Primo - ECPP (Elliptic Curve Primality Proving)

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Primo - ECPP (Elliptic Curve Primality Proving)
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Ellipsa Homepage | ellipsa.eu Reviews

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Primo - ECPP (Elliptic Curve Primality Proving)

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1

Ellipsa Software License

http://www.ellipsa.eu/public/misc/license.html

ECB - Elliptic Curve Builder. PRIMO - Primality Proving. Subject to the terms below, the Author hereby grants the User a non-exclusive, non-transferable license to install and to use the Software. The Software and its documentation are provided "as is" without warranty of any kind. If the User of this Software deems it unsuitable for any particular purpose, the User's sole remedy shall be to refrain from using it. This Agreement shall terminate automatically if the User fails to comply with the limitatio...

2

Primo Top-20

http://www.ellipsa.eu/public/primo/top20.html

On a website, do not directly link to the certificates (it will not work) but link to this page. 20 greatest numbers certified with Primo. ECPP records set with Primo. The certification of this number was done by Paul Underwood with Primo 4.1.1. The certification process took 9 months using a 4 x AMD 6174 (48 cores at 2.2 GHz) and 100 days additionally spent in parallel on an AMD 1090T (6 cores at 3.2 GHz) running phase 2 work. 20 greatest numbers certified with Primo. 1) ÷ 3. Factor of Phi(8055,40734).

3

Primo for Linux

http://www.ellipsa.eu/public/primo/primo.html

Primo is a primality proving program based on the ECPP (Elliptic Curve Primality Proving) algorithm. Given positive odd integers, it tests whether these integers are prime, and if they are it produces primality certificates. With Primo, one can check crypto-primes and prove whether they are actually prime. or not. Executable for Linux 64-bit (Ubuntu 14.04/x86-64 architecture). Compiled with Free Pascal. A short description of the ECPP algorithm can be found at Elliptic Curve Primality Proving. No, not yet.

4

How to's

http://www.ellipsa.eu/public/howtos/howtos.html

Notes and algorithms regarding ECPP. The following notes are aimed at computer scientists, i.e., their main goal is not to explain why such or such things work but to show how they can be implemented. Factoring Class Polynomials over the Genus Field. Primality proving. Cryptography. As soon as we want to build an elliptic curve with a known order over a Z/p field using the so-called. URL: http:/ www.ellipsa.eu/public/howtos/howtos.html. Last update April 2, 2015. Valid XHTML 1.0 Strict.

5

ECB (Elliptic Curve Builder) for Linux

http://www.ellipsa.eu/public/ecb/ecb.html

Ellipsa ECB - Elliptic Curve Builder. ECB - Elliptic Curve Builder - is a generator of ordinary elliptic curves. The curves over GF(P), GF(2. Are built using the so-called complex multiplication. Method. Even if, for some reasons, one does not trust the curves produced with ECB, they remain useful in order to test and/or to tune ECC applications. Executable for Linux 64-bit (Ubuntu 14.04/x86-64 architecture). Compiled with Free Pascal. Properties of a curve created with ECB. The basis of the field GF(2.

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There is no greater mistake than to call arithmetic an exact science. There are [.] hidden laws of number which it requires a mind like mine to perceive. For instance, if you add a sum from the bottom up, and then again from the top down, the result is always different. Maria La Touche (The letters of a noble woman, 1878). February 21, 2018. Primo 4.3.0. Executable for Linux 64-bit). November 18, 2017. New Primo (and ECPP) record: 34987 decimal digits! This number is the largest "ordinary". May 9, 2016.

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