I often wake in the middle of the night and invariably check the clock. Two nights ago I woke at 3:21. I have been harboring a suspicion for years that numbers may solve the riddle of the universe and was curious enough about 321 to ponder it at 3:21AM. For starters, was it a prime number? (a number only divisible by itself and 1) I quickly saw that it is the sum of 3×107. Not prime. So then I thought how about 432, the next set of descending numbers. No, not prime, it is the sum of 4×108. The relationship of 3×107 and 4×108 compared to 321 and 432 was interesting. So of course I thought about 543, the next sequence. That broke the strange new rule. Not to be dissuaded I thought of the next descending sequence, 654 and saw it was the sum of 6×109. So that was interesting again. Not sure if there is any truth to prime numbers pointing to a theory of the universe but that is the kind of question I may ponder in the middle of a sleepless night.
The coincidence occurred the next day while reading “A Gentleman In Moscow” by Amor Towles. The main character, Count Rostov, has made the acquaintance of a young girl, Nina, working on mathematics for school. She has taken it on herself to figure out all of the prime numbers. There is a stack of papers next to her filled with numbers, some circled. The count picks up a sheet and tells her this one is not a prime number. She looks at the number (1,173) and asks how does he know? He replies, “If a number’s individual digits sum to a number that is divisible by 3, then it too is divisible by 3. Nina says, “Better hand me that stack of papers.” Don’t let this small description of a passage turn you off to the book. The book is really a delight capturing the human spirit.
Next time I wake at 3:21 my plan is to roll over and go back to sleep. With Einsteins help I did attempt to solve the big mystery in an earlier post: The Fisherman’s Theory of Relativity. If that sounds interesting type Einstein in the search engine in the right hand column…