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Search: Posts Made By: drkirkby
Forum: Miscellaneous Math 2021-08-24, 18:19
Replies: 39
Views: 2,344
Posted By drkirkby
I do laugh when I hear that Mathematica is now...

I do laugh when I hear that Mathematica is now supposed to be known as the Wolfram Language. Stephen really does have an ego.

Since version 10.4 in 2017, the function MersennePrimeExponent[]...
Forum: Miscellaneous Math 2021-08-24, 09:42
Replies: 39
Views: 2,344
Posted By drkirkby
Arrow The sequence of Mersenne prime exponents which...

The sequence of Mersenne prime exponents which are twin primes, is now A346645 on the online Encyclopedia of Integer Sequences website.

I only submitted Mathematica code to generate the sequence....
Forum: Miscellaneous Math 2021-05-23, 16:48
Replies: 39
Views: 2,344
Posted By drkirkby
Fair enough. I just happen to think that one...

Fair enough. I just happen to think that one looks a bit more tricky than most. Likewise, since you have aimed it at beginners, they may not know the base of the log is irrelevant. In electrical...
Forum: Miscellaneous Math 2021-05-23, 09:50
Replies: 39
Views: 2,344
Posted By drkirkby
I an understand the logic of mathematicians...

I an understand the logic of mathematicians writing it in the most concise form, but I think it's fair to say that many people, other than mathematicians will often not know how to interpret 2^3^4....
Forum: Miscellaneous Math 2021-05-23, 08:38
Replies: 39
Views: 2,344
Posted By drkirkby
Thank you kriesel...

Thank you kriesel (https://www.mersenneforum.org/member.php?u=15129) - I did not see your post before posting mine, but charybdis had pointed out my error - the missing p, since the time is per...
Forum: Miscellaneous Math 2021-05-22, 22:15
Replies: 39
Views: 2,344
Posted By drkirkby
Thank you. That's much better. The revised...

Thank you. That's much better. The revised estimate of 464.691 GHz days is a lot closer to the 482 stated by Kriesel and on the GIMPS website. The difference is now around 3.5%.

In[73]:=...
Forum: Miscellaneous Math 2021-05-22, 21:03
Replies: 39
Views: 2,344
Posted By drkirkby
Thank you. That's what I thought, and that's what...

Thank you. That's what I thought, and that's what I believe my Mathematica code is computing, with the log to the base e. I will have another look tomorrow. Either there's an error somewhere, or I'm...
Forum: Miscellaneous Math 2021-05-22, 19:17
Replies: 39
Views: 2,344
Posted By drkirkby
Can you please help me understand how to...

Can you please help me understand how to interpret "p log p log log p"? I might be putting parentheses in the wrong place, as I'm not getting the expected value. I took took the data you gave on the...
Forum: Miscellaneous Math 2021-05-21, 23:37
Replies: 39
Views: 2,344
Posted By drkirkby
There is a ton of material on here - I don't have...

There is a ton of material on here - I don't have time to read or find everything. A lot of the reference info you write is heavily biased towards GPUs, but as I think you know, I have a pretty poor...
Forum: Miscellaneous Math 2021-05-21, 20:52
Replies: 39
Views: 2,344
Posted By drkirkby
I've not done any detailed analysis about the...

I've not done any detailed analysis about the number of Mersenne Primes that are twin primes. A quick and dirty count of the number of twin-primes up to the maximum known Mersenne prime did indicate...
Forum: Miscellaneous Math 2021-05-19, 20:09
Replies: 39
Views: 2,344
Posted By drkirkby
It does not appear to have changed the title of...

It does not appear to have changed the title of the original post. Not to worry - worst things happen at sea.
Forum: Miscellaneous Math 2021-05-19, 20:06
Replies: 39
Views: 2,344
Posted By drkirkby
Many more twin primes below Mersenne exponents than above Mersenne exponents.

This is my attempt to change the title. Putting no text whatsoever resulted in an error about the message being too short.
Forum: Miscellaneous Math 2021-05-19, 19:57
Replies: 39
Views: 2,344
Posted By drkirkby
Could an admit swap the title - the above and...

Could an admit swap the title - the above and below are the wrong way around.
Forum: Miscellaneous Math 2021-05-19, 19:53
Replies: 39
Views: 2,344
Posted By drkirkby
More twin primes below Mersenne exponents than above Mersenne exponents.

This is an observation I made looking at the exponents of Mersenne primes, that are twin primes. The following 13 Mersenne Prime exponents have a twin-prime below the exponent.

5, 7, 13, 19, 31,...
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