Cool Instant Factorising Trick On Two Multiplied Prime Numbers.

[olvin dsouza]

Prove whether the below statment is true or false.


Statement -


1) Calculate 72 × 1 + 36, 72 × 2 + 36 ......72 × n +36.


2) Add all the sums e.g 108 + 180......+ 35 = n (along with 35 once to get total sum as 'n').


3) The total 'n' must be p×q= n.


Where p and q can be,


Twin prime × Twin prime.


Prime number × Composite number ( not divisible by 2 or 3, having a gap of 2).


Composite number × Composite number ( not divisible by 2 or 3, having a gap of 2 ).

This theorm shows how one can instantly factor larger, largest product 'n'   p×q=n  of certain multiplied twin prime numbers and know its p & q.

Detail research paper at, https://vixra.org/abs/2103.0181

 

 

2103.0181v2.pdf

[phillip1882]

hmmm. lets say n is 7, 

 72 × 1 + 36, = 108

72 × 2 + 36 = 180

72 × 3 +36 =252

72 x 4 +36 = 324

72 x 5 +36 = 396

72 x 6 +36 =468

72 x 7 +36 =540

adding all of them together,  i get 2268. I'm not sure where the +35 is coming from, but lets add that as well, 2303

from here, how would you determine p and q?