20210406, 00:27  #1  
"Rashid Naimi"
Oct 2015
Remote to Here/There
2,017 Posts 
Digitally delicate prime numbers
Didn't see this posted anywhere:
Quote:
I holes it's not an AprilFools article. Last fiddled with by retina on 20210406 at 04:51 Reason: Title is now more meaningful and less vague 

20210406, 01:09  #2 
"Curtis"
Feb 2005
Riverside, CA
2×7×11×31 Posts 
I'm sad you managed to find someone who used "one weird trick" clickbait for an actual math discovery.
Give quantamagazine.org a try for a better article on the research. 
20210406, 02:00  #3 
"Rashid Naimi"
Oct 2015
Remote to Here/There
2,017 Posts 
I assume the 1st such a prime discovered would qualify for both of the remaining EFF Awards.

20210406, 02:34  #4 
Romulan Interpreter
Jun 2011
Thailand
2^{5}×5×59 Posts 
How did you come to that assumption? As I understand, they only searched to 10^9, so the first found may have as low as 10 digits. Which I personally doubt, but numbers are clever, they may surprise you...

20210406, 02:41  #5 
Jun 2003
3^{2}·19·29 Posts 

20210406, 03:32  #6  
"Rashid Naimi"
Oct 2015
Remote to Here/There
11111100001_{2} Posts 
Quote:
* If there are infinite twin primes (or any other Evennumberseparatedprimes) then there have to be other types of infinitelydigited primes that do not turn into composites by changing a single digit. ETA Unless, while infinitely numerous, none of the twin primes have infinite number of digits. ETA Ii which would bring up the possibility of existence of a new relationship where infinitelydigited primes separated by some given/constant infinitelydigited number may be infinitely numerous. ETA Iii Which raises the question: Would an infinitelyDigited integer written in the base m, where m is another infinitelydigitedinteger have limited number of digits? If so would they still behave like Cinderella in such bases? ETA IV I foresee a sleepiness night. Hey Google, cancel all my meetings for tomorrow. Last fiddled with by a1call on 20210406 at 04:06 

20210406, 04:31  #7 
Romulan Interpreter
Jun 2011
Thailand
2^{5}·5·59 Posts 
Again, how did you get the conclusion that such prime has an "infinite number of digits"?(which is an aberration it itself, you can not say that an integer, prime or not, has an infinite number of digits). They talk about a fix number, which can have as low as 10 digits, in front of which they add an infinite number of zeros. But the prime is finite, it has a finite number of digits.
This prime can be a twin prime (why not? think 59 and 61, you cannot transform one to another by flipping a single digit). 
20210406, 04:40  #8 
"Rashid Naimi"
Oct 2015
Remote to Here/There
2,017 Posts 
Let p be any prime greater than 2*11.
Let b=p11 then, p can always be written as p=1:11_{b} as a 2 digit number in base b. Changing the 1st digit to 0 will not make it behave like Cinderella. It will always give a prime number, 11. 
20210406, 05:13  #9 
Jun 2003
3^{2}·19·29 Posts 
Are you thinking that the number must have that property in _all_ the bases simultaneously?

20210406, 05:19  #10 
"Rashid Naimi"
Oct 2015
Remote to Here/There
2,017 Posts 
Obviously not in integer bases with infinite digits.
What bases/base would that number be a Cinderella in? Base 10 only? Wouldn't that be too arbitrary? Just because we have 10 toes? Last fiddled with by a1call on 20210406 at 05:20 
20210406, 05:22  #11 
Jun 2003
3^{2}×19×29 Posts 
RTFA. Stop projecting your wishes on to what was actually done.

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