The primes start out.......2, 3...........the ONLY time period..........where two primes are but a digit apart...........................and all this general stuff to me as well as the theoretical approach ARE ways to get it............................if u noticed from Euler's product..............2(3/2)(5/4)(7/6)(11/10).........each numerator is one more than its denominator......................................and if u overlayed what I call the prime fund...........with the negative integers...........u get 10 ones.............10 (- 9s)...............10 ( - 19's)................10 (- 29's)................etc........................each number 10 more than the last...................a pattern of the gen. distribution of the primes for successive powers of ten.........
“Nonsense, you gullible old toad!” you are perhaps shouting to your screen. “Why should throwing out the numbers with 9’s make such a difference? We’ve still got
all the other numbers!”
Again, I say: not so fast. You’re making a classic mistake. When you think of “numbers,” you’re only picturing
little numbers.
“No I’m not!” you may say. “I’m thinking of big numbers. Huge numbers. Like 9 million, or 47 billion, or 228 trillion.”
Exactly my point: small numbers.
You see, the longer a number gets, the harder it is to avoid a 9. Every time you add a digit, you add a new opportunity for a 9. That might not feel like a big danger—after all, those 9’s will pop up only 10% of the time. But look what happens:
No comments:
Post a Comment