20220130, 10:37  #1 
2^{2}·3·593 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 20220131 at 01:43 
20220130, 13:05  #2 
Romulan Interpreter
"name field"
Jun 2011
Thailand
10011100011101_{2} Posts 
No.

20220130, 13:08  #3 
Undefined
"The unspeakable one"
Jun 2006
My evil lair
2×3×1,093 Posts 

20220130, 13:57  #4  
Feb 2017
Nowhere
5897_{10} Posts 
Quote:
"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." Tadaaaa! 

20220130, 21:12  #5 
Feb 2008
Meath, Ireland
3·61 Posts 
f(x) = 1^{x}+0^{x}!
What did I win? 
20220131, 00:17  #6 
Feb 2017
Nowhere
1709_{16} Posts 
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 timehonored 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] 
20220131, 00:40  #7  
Sep 2002
Database er0rr
2^{2}×1,063 Posts 
Quote:
See: https://en.wikipedia.org/wiki/Factor...torial_of_zero. x=0 also holds, but it is undefined for x<0. 

20220131, 00:45  #8 
Feb 2008
Meath, Ireland
3·61 Posts 
Yes, I meant 1 plus 0 factorial.

20220131, 00:49  #9 
Feb 2008
Meath, Ireland
B7_{16} Posts 
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. 
20220131, 01:10  #10  
Sep 2002
Database er0rr
2^{2}×1,063 Posts 
Quote:
Last fiddled with by paulunderwood on 20220131 at 01:11 

20220131, 01:32  #11 
Feb 2017
Nowhere
5,897 Posts 

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