Here's some information that you'll surely like to know about
We call a positive integer to be a if out of the set of all the positive integers, and are the divisors of .
We call a pair of to be iff
The smallest known pair of is .
But what's more interesting, is the pair of and it is
Both of them are digits long.
There are pairs of which are less than .
There are of between and .
This shows the scarcity of as the numbers increase.
The smallest gap between consecutive prime numbers is and it is for the pair .
The largest (known till now) gap between consecutive prime numbers is , and it is seen just after the prime . (There are 1441 consecutive composite numbers after this prime).
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