Posts

Showing posts from March, 2024

A Number Theory Observation

Six sided dice can result in random numbers, when the face value is converted to Base 10, DESPITE displaying no "0." I suspect that Number Theory, as a class, would have taught me more than some finite number of Arithmetic tricks. It is my understanding that Number Theory investigates how these apparent coincidences are true using Algebra. It has been brought to my attention that, IF Erasthmus's Sieve is correct, THEN the modified Sieve in the previous post is also correct, as follows: Erasthmus used a positive integer number line, and stepped by the relevant n. In the sieve I uncovered (seeking a way to improve compactness in computer RAM) I start with odd integers, as a number line, and as a practical matter strike by 2*n. Explicitly, if we start with 3 and strike every third value, for example, we step over an even number in between each odd number skipped, resulting (algebraically) in striking by 2*3, or 6. Under this constraint, 3 being odd, we strike all ODD multip