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Search: Posts Made By: dash1729
Forum: Software 2020-08-19, 20:30
Replies: 3
Views: 1,778
Posted By dash1729
Thanks! Yes it worked when I overrode it.

Thanks! Yes it worked when I overrode it.
Forum: Software 2020-08-19, 18:33
Replies: 3
Views: 1,778
Posted By dash1729
is it possible to run Prime95 on MacOS?

I'm running macOS Catalina version 10.15.5. When I try to download and run Prime95 I get a popup message '"Prime95" can't be opened because Apple cannot check it for malicious software'. Is there a...
Forum: Information & Answers 2020-08-18, 16:27
Replies: 38
Views: 12,684
Posted By dash1729
My observation was actually that the double...

My observation was actually that the double Mersenne primes do grow quite rapidly--rapidly enough to prove what we need.

And that observation does in fact lead to a proof--my proof in fact. I've...
Forum: Information & Answers 2020-08-18, 15:46
Replies: 38
Views: 12,684
Posted By dash1729
It is certainly true that a similar observation...

It is certainly true that a similar observation could be made about double, triple, etc. Mersenne primes:

If there are only finitely many non-Mersenne primes, then there must only finitely many...
Forum: Information & Answers 2020-08-18, 15:40
Replies: 38
Views: 12,684
Posted By dash1729
OK--so my proof is essentially the same proof...

OK--so my proof is essentially the same proof with only minor modifications.

Let's find all primes strictly less than MM13 (that is a double Mersenne prime), multiply them together, add 1, and see...
Forum: Information & Answers 2020-08-17, 18:37
Replies: 38
Views: 12,684
Posted By dash1729
I'm not sure if you still need my help or not but...

I'm not sure if you still need my help or not but if so I'm happy to answer the question above.

But before I do--are you familiar with the traditional proof that there are infinitely many primes?...
Forum: Information & Answers 2020-08-16, 19:45
Replies: 38
Views: 12,684
Posted By dash1729
I agree that a numeric example always helps....

I agree that a numeric example always helps. However in this specific case the numbers get very large very fast making it tough to write them out in full. I'm claiming that if the set of all...
Forum: Information & Answers 2020-08-16, 17:38
Replies: 38
Views: 12,684
Posted By dash1729
I know that because all numbers except 1 have a...

I know that because all numbers except 1 have a prime divisor. That divisor in some cases will be the number itself (i.e. the number is prime) but this doesn't affect the proof. "The number" referred...
Forum: Information & Answers 2020-08-15, 20:03
Replies: 38
Views: 12,684
Posted By dash1729
The exponent of a Mersenne prime must itself be...

The exponent of a Mersenne prime must itself be prime. So if we assume there are only finitely many non-Mersenne primes, then all primes except a finite number must be in the form 2^{2^n-1}-1 for...
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