Prime Numbers

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    • September 11, 2020 at 3:47 pm #7405
      Nikhil
      Guest

      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.
      4. There

    • September 11, 2020 at 4:17 pm #7549
      AalokaAaloka
      Participant

      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

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