| − | Prime numbers are those with the least possible quantity of factors/divisors (respectively themselves, and 1). In that sense, and in many other senses, they are very much predictable, like soldiers of the most exquisite skill carrying out the most demanding of 'marching orders'. But, despite these finely tuned 'marching orders', the prime numbers also are extremely unpredictable: you never know exactly when or where they will turn up. | + | Prime numbers are those with the least possible quantity of factors/divisors (respectively themselves, and 1). In that sense, and in many other senses, they are very much predictable, like soldiers of the most exquisite skill carrying out the most demanding of 'marching orders'. But, despite these finely tuned 'marching orders', the prime numbers also are extremely unpredictable: you never know exactly when or where they will turn up... |
| − | FYI: I believe there is relative utility within any set of algorithms intended to more-or-less predict, or find more-or-less predictive patterns for, the occurrence of the prime numbers: not all such algorithms are equally useful to that intent. In other words, I believe that, given all the various attempts, to date, to predict the primes, there is a general narrowing down of the predictive power of algorithms so intended. But, I believe there logically can never be any sub-set of all algorithms-so-intended that can actually strictly predict the primes. Which means I believe there is no finite maximum of such algorithms that can perfectly predict the primes. | + | (((FYI: I believe there is relative utility within any set of algorithms intended to more-or-less predict, or find more-or-less predictive patterns for, the occurrence of the prime numbers: not all such algorithms are equally useful to that intent. In other words, I believe that, given all the various attempts, to date, to predict the primes, there is a general narrowing down of the predictive power of algorithms so intended. But, I believe there logically can never be any sub-set of all algorithms-so-intended that can actually strictly predict the primes. Which means I believe there is no finite maximum of such algorithms that can perfectly predict the primes.))) |