Observed pattern - pattern better explained

richard.chasen
Casual Member
richard.chasen
Casual Member
Joined: Apr 28 2017, 04:54 PM

Aug 29 2018, 06:40 PM #1

  In my studies of Philosophical math I observed the following pattern of numbers based on the 105 and 1A5 cycles after noticing that relative to a count of days from Christ's conception. Persons dates of birth and other events that shared the approx 105 day cycle with me tended to also have the 1A5 day cycle in common with me as well. Oddly these dates of birth also had many other prime number cycles in common with me as well. 

First i noticed that 5 x 1A5= 941 is close to 9 x 105 =939. Nothing special so far. But if one counts days from a point where the 105 and 1A5 cycle are within 20 days of each other an interesting pattern emerges. 

I then charted the following procedure. Count multiples of 941z or 1345d (5 x 1A5z or 269d) until the 105 cycle is more than 18z/20d distant from the 1A5 day cycle. Then add 1A5z/269d to correct the cycle for the next 30 year period. 

Part 1: 
I have a proof that this can continue forever with 1A5 and 105 day cycles being within 18z days of each other

Part 2:
In this pattern there are about 30 primes and composites that appear about 10 times as often as one would expect in a 20 day period with both 105 and 1A5 being 20 days or less apart. The random odds of occurrence of a given prime is given by 18/P where P is the prime in question. These primes from memory include 5 x 25, 19B, 1B1, B7, 617, 481, 81, 75, 6B, and others that I don't recall of the top of my head.  

As this pattern describes an 18 day cycle in 4;7 265 day years it's chance of occurrence relative to a given date is about 1:30. 

I'm working on listing the occurrence of each prime from 35 to 701 of this pattern counting from Aug 19, 5 BC from a handwritten list done without computer or calculator (it took several months) for all dates from my parents meeting in 1961 to present. 
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