Prime number oddities
by David Jones



Note: I received this email from David Jones after he had observed that Dick Sietz listed facts about the first 31 primes (up to 127) at
http://www.pleacher.com/mp/mfacts/primlist.html


I noticed your prime list of primes goes up to 127.

I was pointed towards an interesting property of this number (127) following some strange phone calls I received at exactly 16:56 on the 24hr clock.   That's another story, kind of, but here's what I noticed...

1656 hrs is 1016 minutes out of 1440 in a day.

Simplified this is:
508/720
Simplified further it is:
254/360 (immediately I thought of the inch (and found another interesting coincidence when I looked closely at the scale of inches and millimeters, namely that 36mm in inches gives the same number of the ratio 254/360, 1.4173...)...
And finally:
127/180 (talking of scales, 127 degrees Fahrenheit to Celsius also raised an eyebrow) ...

So 1656 hrs is 127/180ths of a day, with 53/180ths left until the next day begins.

One thing I notice about the prime number 127, is that it is the 31st prime...

127 is the 31st prime,
31 is the 11th prime,
11 is the 5th prime,
5 is the 3rd prime,
3 is the 2nd prime,
2 is the 1st prime.

I thought this was a lovely coincidence.
Then I decided to add up the positions of the prime numbers...

1+2+3+5+11+31
I get 53.

Of course then I realized that the only minute displayed on a 24hr clock in the style of HHMM that encodes a straightforward reference to a much maligned number (666) is 1656 (where two sixes are already present and the third can be reached by simple addition of the other two digits).



Send any comments or questions to: David Pleacher