So, if we see there are a lot of interesting facts about prime numbers.
1. Any prime number greater than 3 must be of form 6k+1 or 6k-1.
2. There are a lot of fascinating theorems related to primes like Fermat’s Little Theorem.
3. There is a lot of ways to determine the primes up to any given n like Sieve of Eratosthenes.
Dear Nikhil Sir,
“Any prime number greater than 3 must be of form 6k+1 or 6k-1.” This is a very good observation. Can you think of a proof for it?
Prime numbers have always fascinated mathematics and there are indeed a lot of theorems related to them. But the most intriguing question which has interested mathematicians for a long time is whether one can get a definite form for them.
Sieve of Eratostenes is a sure way of finding prime numbers but is not very efficient.
Vigyan Pratibha Team