3 ms·
A Pattern for Odd Prime Numbers
Noticed a pattern for odd prime numbers:
For 2n + 1, if n equals:
2xy + x + y
then,
2n + 1 is an odd composite.
For 2n + 1, if n equals:
6
(7 + 6x) + 1
(7 + 6x) + 2
5, 5+6, 5+6+7, 5+6+7+8, etc.
then,
2n + 1 is an odd prime.
- wiener90 14y agoCounter example x = 3 y = 5 2*(2*3*5+3+5)+1 2*38+1 77
- zeepickler 14y agoYes, this an example of an odd composite. As I said 2xy + x + y creates odd composites (numbers that are odd and not prime). I'm not saying this is prime. I was saying that the other patterns below are prime. However, since I posted this, I found a flaw with the 7 +6n +1 and 7+ 6n + 2 pattern. However, the 5,5+6,5+6+7, etc pattern holds up for up to the numbers I checked. I still have further investigation to do...