Sequences by Mr Blank https://padlet.com/pranavjain966/HPTS_PRANAV Prime numbers en-us 2020-08-27 12:56:01 UTC 2025-10-17 15:00:58 UTC hello@padlet.com https://padlet.net/icons/png/1f923.png Prime numbers pranavjain966 https://padlet.com/pranavjain966/HPTS_PRANAV/wish/702315122 2020-08-27 13:14:53 UTC https://padlet.com/pranavjain966/HPTS_PRANAV/wish/702315122 pranavjain966 https://padlet.com/pranavjain966/HPTS_PRANAV/wish/702319748 A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways of writing it as a product, 1 × 5 or 5 × 1, involve 5 itself. However, 4 is composite because it is a product (2 × 2) in which both numbers are smaller than 4. Primes are central in number theory because of the fundamental theorem of arithmetic: every natural number greater than 1 is either a prime itself or can be factorized as a product of primes that is unique up to their order.]]> 2020-08-27 13:16:26 UTC https://padlet.com/pranavjain966/HPTS_PRANAV/wish/702319748 pranavjain966 https://padlet.com/pranavjain966/HPTS_PRANAV/wish/702331869 2020-08-27 13:20:47 UTC https://padlet.com/pranavjain966/HPTS_PRANAV/wish/702331869 pranavjain966 https://padlet.com/pranavjain966/HPTS_PRANAV/wish/702336342 Primes are of the utmost importance to number theorists because they are the building blocks of whole numbers, and important to the world because their odd mathematical properties make them perfect for our current uses.]]> 2020-08-27 13:22:10 UTC https://padlet.com/pranavjain966/HPTS_PRANAV/wish/702336342 pranavjain966 https://padlet.com/pranavjain966/HPTS_PRANAV/wish/702340839 Factorisation is the best way to find prime numbers. The steps involved in using the factorisation method are:

  • Step 1: First find the factors of the given number
  • Step 2: Check the number of factors of that number
  • Step 3: If the number of factors is more than two, it is not a prime number.
Example: Take a number, say, 36.

Now, 36 can be written as 2 × 3 × 2 × 3.  So, the factors of 36 here are 1, 2, 3, 4, 6, 9, 12, 18, and 36. Since the number of factors of 36 is more than 2, it is not a prime number but a composite number.

Now, if we take the example of 19. The prime factorisation of 19 is 1 x 19. You can see here, there are two factors of 19. Hence, it is a prime number.

]]> 2020-08-27 13:23:41 UTC https://padlet.com/pranavjain966/HPTS_PRANAV/wish/702340839 Who discovered prime numbers? pranavjain966 https://padlet.com/pranavjain966/HPTS_PRANAV/wish/702356576
In about 200 BC the Greek Eratosthenes devised an algorithm for calculating primes called the Sieve of Eratosthenes. There is then a long gap in the history of prime numbers during what is usually called the Dark Ages. The next important developments were made by Fermat at the beginning of the 17th Century.]]> 2020-08-27 13:29:01 UTC https://padlet.com/pranavjain966/HPTS_PRANAV/wish/702356576