- **Software**
(*https://www.mersenneforum.org/forumdisplay.php?f=10*)

- - **pari- p-adic numbers**
(*https://www.mersenneforum.org/showthread.php?t=22595*)

pari- p-adic numbersWe can use pari to create sequences similar to that on page 19 of Borevich and Shafarevich's book, number theory as follows:
Code: {is(n)=Mod(n,7)^2==2} select(is,[1..100]) Next {is(n)=Mod(n,7^2)^2==2} select(is,[1..1000]) next {is(n)=Mod(n,7^3)^2==2} select(is,[1..1000]) You will get three sequences, the first of which corresponds to x_0.Second corresponds to x_1 and the third corresponds to x_2 of page 19 of the book. Thus we get three sequences from which we can form a sequence conforming with 3.3 of the same. Needless to say this process can be continued.Important point: we have formed the required sequence without solving any linear equation. |

All times are UTC. The time now is 08:11. |

Powered by vBulletin® Version 3.8.11

Copyright ©2000 - 2022, Jelsoft Enterprises Ltd.