"Not Mersenne" formula

2022-01-30, 10:37

Dear colleagues!

I made a mathematical formula to find large prime numbers.

Are you interested?

LaurV · 2022-01-30, 13:05

No.

retina · 2022-01-30, 13:08

Dr Sardonicus · 2022-01-30, 13:57

Quote:

Originally Posted by Mikloska

I made a mathematical formula to find large prime numbers.
Are you interested?

No. This is not a real claim. You have failed to specify what you mean by the following:

"mathematical formula," "find," or "large."

There are any number of "mathematical formulas" for primes; see, e.g. here.

If, as per standard mathematical notation, p_n denotes the n^th prime, p_{10^1000000000} is a "large prime." Ta-daaaa!

ZFR · 2022-01-30, 21:12

f(x) = 1^x+0^x!

What did I win?

Dr Sardonicus · 2022-01-31, 00:17

Quote:

Originally Posted by ZFR

f(x) = 1^x+0^x!

What did I win?

No prize. Your formula yields the value 1 for x = positive integer, and 1 is not a prime. A prime number is greater than 1 by definition.

But I like your approach, so in the same spirit, I mention the time-honored

4 + (-1)ⁿ (n = positive integer)

and adapt it to yield the largest known pair of "twin primes" which should qualify as "large primes."

2996863034895*2^1290000 + (-1)ⁿ [Tom Greer, PrimeGrid, TwinGen, LLR 2016]

paulunderwood · 2022-01-31, 00:40

Quote:

Originally Posted by Dr Sardonicus

No prize. Your formula yields the value 1 for x = positive integer, and 1 is not a prime. A prime number is greater than 1 by definition.

I think ZFR meant (1^x)+((0^x)!)

See: https://en.wikipedia.org/wiki/Factor...torial_of_zero.

x=0 also holds, but it is undefined for x<0.

ZFR · 2022-01-31, 00:45

Yes, I meant 1 plus 0 factorial.

ZFR · 2022-01-31, 00:49

Quote:

Originally Posted by paulunderwood

x=0 also holds

I was under the impression 0^0 is undefined. Looks like I was wrong.
https://en.m.wikipedia.org/wiki/Zero..._power_of_zero

This thread actually taught me something new.

paulunderwood · 2022-01-31, 01:10

Quote:

Originally Posted by ZFR

I was under the impression 0^0 is undefined. Looks like I was wrong.
https://en.m.wikipedia.org/wiki/Zero..._power_of_zero

It seems to depend on what your field of mathematics is as to whether it is defined or not. We are on shaky ground here with this subject!

Dr Sardonicus · 2022-01-31, 01:32

Quote:

Originally Posted by ZFR

Yes, I meant 1 plus 0 factorial.

I apologize - I should have realized the exclamation point was the factorial symbol.

Your f(x) is 2 for positive integer x. That's prime, no question.

I don't know about a prize, but you get style points for expressing 1 as (0^x)!

2022-01-30, 10:37	#1
Mikloska 2·3·1,289 Posts	"Not Mersenne" formula Dear colleagues! I made a mathematical formula to find large prime numbers. Are you interested? Last fiddled with by Dr Sardonicus on 2022-01-31 at 01:43

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