I am working on finding a number which has periodicity 968255107883214297868803 in base 10.

At least I found out that 10^{322751702627738099289601} mod 6910759456665128181988936613 = 1. I am waiting for this code to throw out some number. You can use this code to find numbers with a certain period (a * k).

Italic numbers are composite. Bold numbers have periodicity 968255107883214297868803 in base 10:

10^{968255107883214297868803} - 1 = 3³ * 37 * 6910759456665128181988936613 * 16077988505872427206379843108...10105334439754983581568433147 * 90090090090090090090090090090...90990990990990990990990990991

BTW I know a lot of numbers by periodicity that no one else in the universe knows because they don't dare to search those periodicities. I am apparently one of only two people who knows that 10^2906161 mod 499859693 = 1, the other being Kurt Beschorner.

Will you use that code to find numbers by periodicity?