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Old 2022-01-30, 10:37   #1
Mikloska
 

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Minus "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
 
Old 2022-01-30, 13:05   #2
LaurV
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No.
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Old 2022-01-30, 13:08   #3
retina
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Old 2022-01-30, 13:57   #4
Dr Sardonicus
 
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Quote:
Originally Posted by Mikloska View Post
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, pn denotes the nth prime, p10^1000000000 is a "large prime." Ta-daaaa!
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Old 2022-01-30, 21:12   #5
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f(x) = 1x+0x!

What did I win?
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Old 2022-01-31, 00:17   #6
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Quote:
Originally Posted by ZFR View Post
f(x) = 1x+0x!

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*21290000 + (-1)n [Tom Greer, PrimeGrid, TwinGen, LLR 2016]
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Old 2022-01-31, 00:40   #7
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Quote:
Originally Posted by Dr Sardonicus View Post
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.
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Old 2022-01-31, 00:45   #8
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Yes, I meant 1 plus 0 factorial.
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Old 2022-01-31, 00:49   #9
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Quote:
Originally Posted by paulunderwood View Post

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.
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Old 2022-01-31, 01:10   #10
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Quote:
Originally Posted by ZFR View Post
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!

Last fiddled with by paulunderwood on 2022-01-31 at 01:11
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Old 2022-01-31, 01:32   #11
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Quote:
Originally Posted by ZFR View Post
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 (0x)!

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