&ot Journeys' End: Prime patterns

Journeys' End

We walk many paths, many roads
Till death halts our steps.
Every day a new adventure,
A new journey of self discovery.

20040617

Prime patterns

I was looking at 293 (in a list of primes) just then, for a piece of erm... poetry I suppose I was writting, and realized something:
  • largest remainder of 29 when divided by a prime smaller then 29, is 1.
  • now make it 290, remainder becomes 20.
  • add 3, make remainder 13. 293 is a prime!
  • largest remainder of 293 is 1 (293%2).
  • add 1. 29311 is also prime!
And erm, thats kinda where it breaks down... A quick search for 29311 in the prime list shows up a few interesting things... I need to ponder this more. Also realized I had some mistakes... this is very snarky math :S