Thread: Prime Wonder

Hi all,
I am now working on RSA and DES encryption algorithm (college project..) Well when i was generating prime numbers i noticed one thing

3 x 3 =9 where 3 is a prime number

now the result 9-2 =7 where 7 is a primenumber



7 x 7 = 49 where 7 is a prime number
the result 49 - 2 = 47 is a prime number

13 x 13 = 169
the result 169 - 2 = 167 which is a prime number


but

373 X 373 = 139129
and the result 139129 - 2 =139127 which is not a prime
because 6049 x 23 = 139127


but 50 % of the time the result for big numbers like this yeilds another primenumber... So is there anyway i can use this method to always generate big primenumbers by eliminating the non posibility numbers as 373 x 373 shown above.. And is these any theorem or study regarding the generation of prime this way.. Please help...


thanx in advance
Vasanth

Here this is true for most of the smaller numbers and some bigger numbers.. But this does not work for all big numbers.... But you can say i got a 40 to 50 % sucess with bigger numbers in this way.....

Thank you very much.. Well i am now using this technique


conside i want to find wheather 40001 is a prime number then...
I use only odd numbers that is incerement i=i+2 starting from 3 thus saving 50 time and then dividing then original number by 2 that is 40001/2.. and trying all posibilities from 3 * 3, 3* 4 till 3 * 40001/2 and 4 * 3, 4* 4 till 4 * 40001/2 and so on...... So can i add more constraints here and make my code faster....