Write 0 and then concatenate the prime numbers in increasing sequence i.e. 0.2357111317192329... Is this number rational or irrational?
Note: Give your reasoning also...
It has to be irrational because it has infinite digits after the decimal place that has no pattern as there are infinite prime numbers. For it to be rational we should be able to obtain a pattern among the digits to express them in ratios.
3 rational numbers form a geometric progression in its current order.
Find the numbers?
Is it possible to write down 1,2,3..100 in some order (one after an other), such that the sum of any two adjacent numbers is a prime number?
