Friday, 20 March 2015

Blog Post #56 - The curious world of Prime numbers

After a small hiatus again here's a post on Prime numbers... No better place to start than my Alma Mater - Pilani Pin Code - 333031!!!

333031 is a prime number and I decided to look at its reverse 130333 which has 7, 43, 433 as factors
So I thought of looking at prime numbers around 333031

Listed below the prime numbers starting 333019 till 333049 as a sample

333019 – Prime, 910333 – 17, 53549
333023 – Prime, 320333 – 13, 41, 601
333029 – Prime, 920333 - Prime
333031 – Prime, 130333 – 7, 43, 433
333041 – Prime, 140333 - Prime

333049 – Prime, 940333 – 373, 2521

When I look at the factors of the numbers which are reverse of the original number, I see that either they are prime or have factors which are prime themselves!!!

Now that Pilani gave me some good for thought to start off on a Saturday morning, I started looking at the 4 digit numbers in random... Take a look below

1913 - Prime, 3191 - Prime
1747 - Prime, 7471 - 31, 241
3041 - Prime, 1403 - 23, 61
3371 - Prime, 1733 - Prime
3863 - Prime, 3683 - 29, 127
5981 - Prime, 1895 - 5, 379
7879 - Prime, 9787 - Prime

Isn't that wonderful to see? 

Needless to say if the original number starts with 2, 4, 6, 8 (or sometimes even 5), the number in reverse may not exhibit this pattern always

1 comment:

  1. Some interesting facts and puzzles about Prime Numbers and Magic Squares, Smith Numbers, and Arithmetic and Palindromic Primes on this blog: www.glennwestmore.com.au.

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