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Forum: Prime Gap Searches 2020-12-31, 15:29
Replies: 2
Views: 266
Posted By mart_r
As the layman I am, I'm having a surprisingly...

As the layman I am, I'm having a surprisingly difficult time understanding this.
The paper looks well written, but it seems to merely provide a more complicated way of stating what is already known...
Forum: Prime Gap Searches 2020-12-31, 15:20
Replies: 226
Views: 33,635
Posted By mart_r
Not a single new gap in this range. Oy. ...

Not a single new gap in this range. Oy.

Taking 1.2e16 to 1.22e16.
Forum: Prime Gap Searches 2020-12-27, 17:59
Replies: 35
Views: 10,376
Posted By mart_r
Thanks for your support :smile:

Thanks for your support :smile:
Forum: And now for something completely different 2020-12-21, 18:39
Replies: 4
Views: 350
Posted By mart_r
Eine exzellente Zusammenstellung - Respekt vor...

Eine exzellente Zusammenstellung - Respekt vor der Arbeit, die dahintersteckt :tu:
Forum: Prime Gap Searches 2020-12-21, 18:30
Replies: 35
Views: 10,376
Posted By mart_r
Updates are tedious but necessary

My monthly tribute to the world of number theory.
Largest CSG found during the past 4.3 weeks: 1.264846947 (p=113,109,089 / q=3,745,830)
max. p searched:
q <= 1000:...
Forum: Prime Gap Searches 2020-12-17, 21:09
Replies: 9
Views: 601
Posted By mart_r
That doesn't quite answer all of my questions,...

That doesn't quite answer all of my questions, but since sending files via PM isn't allowed (AFAICT) I'm going to make a regular submission in the next couple of days. Or weeks. When I'm in the right...
Forum: Prime Gap Searches 2020-12-11, 20:21
Replies: 226
Views: 33,635
Posted By mart_r
Taking 1.19e16 to 1.2e16.

Taking 1.19e16 to 1.2e16.
Forum: Prime Gap Searches 2020-12-11, 20:19
Replies: 9
Views: 601
Posted By mart_r
I guess so. It's what I do most of the time. ...

I guess so. It's what I do most of the time.
Here's the most recent data on twin prime gaps:
https://www.mersenneforum.org/showpost.php?p=563186&postcount=223
And the search goes on...
Forum: Prime Gap Searches 2020-12-08, 17:52
Replies: 9
Views: 601
Posted By mart_r
I'm still pondering about updating the twin prime...

I'm still pondering about updating the twin prime gap sequences (there are six of them that I know of, so while submitting it all, my mailbox will get flooded...:smile:). I just can't decide how to...
Forum: Prime Gap Searches 2020-12-08, 17:39
Replies: 124
Views: 17,365
Posted By mart_r
That's amazing! Excellent work! (Now I only...

That's amazing! Excellent work!
(Now I only need to wrap my head around running the program... things like building GMP and compiling libraries is something I haven't actually done much yet :blush:)
Forum: Lounge 2020-12-08, 17:05
Replies: 25
Views: 1,117
Posted By mart_r
Ay, there's the rub: how much knowledge can I...

Ay, there's the rub: how much knowledge can I retain? I'd have no problems disguising what a ten-year-old is unlikely to know. But resetting the brain together with the body would mean going through...
Forum: Lounge 2020-12-05, 15:55
Replies: 25
Views: 1,117
Posted By mart_r
Definitely option 2. That's funny, it's the least...

Definitely option 2. That's funny, it's the least popular at the moment.

The thought of going to school again today crossed my mind a few times in the last 10+ years. I bet I'd be such a rebel...
Forum: Prime Gap Searches 2020-11-22, 20:06
Replies: 35
Views: 10,376
Posted By mart_r
Quite a difference, yes. The difference between...

Quite a difference, yes. The difference between my unconventional CSG and the formula with the initial prime p1 is even bigger than the one between my formula and the conventional which uses p2, and...
Forum: Prime Gap Searches 2020-11-21, 16:42
Replies: 35
Views: 10,376
Posted By mart_r
TWIMC

max. p searched:
q <= 1000: 1.748e+13
1000 < q <= 2690: 8.734e+12
2690 < q <= 1e+5: 1.435e+11
1e+5 < q <= 2e+5: 4.730e+10
2e+5 < q <= 5e+5: 3.205e+10
5e+5 < q <= 1e+6: 2.050e+10
1e+6 <...
Forum: Lounge 2020-11-21, 16:14
Replies: 1,087
Views: 77,640
Posted By mart_r
Mr Trump's behavior is absolutely unpresidented. ...

Mr Trump's behavior is absolutely unpresidented.

:leaving:
Forum: Miscellaneous Math 2020-11-19, 18:09
Replies: 10
Views: 818
Posted By mart_r
I have to say I'm quite astounded about how big...

I have to say I'm quite astounded about how big of a deal this discovery seems to be.
If I had done some of those calculations and found out how primes (in base 10) with the same end digits seemed...
Forum: Prime Gap Searches 2020-11-14, 12:14
Replies: 226
Views: 33,635
Posted By mart_r
Forum: Prime Gap Searches 2020-11-09, 20:41
Replies: 226
Views: 33,635
Posted By mart_r
:groan: I knew something was odd about this...

:groan:
I knew something was odd about this phrasing...

There's a larger variety in the size of the gaps.

Is that somewhat understandable an explanation?
Forum: Prime Gap Searches 2020-11-09, 14:20
Replies: 226
Views: 33,635
Posted By mart_r
Naturally, twin primes are rarer, so the gaps...

Naturally, twin primes are rarer, so the gaps between them are more numerous.

I was a bit lazy to finish my range, but new results should arrive this week.

Looking at arXiv: 1807.08777 (J. P....
Forum: Lounge 2020-11-01, 10:37
Replies: 447
Views: 22,012
Posted By mart_r
Hmm... I wanted to post a new number, but still...

Hmm... I wanted to post a new number, but still can't figure out Viliam Furik's number.
And I don't know much about graph theory either.
Forum: Prime Gap Searches 2020-10-29, 20:58
Replies: 124
Views: 17,365
Posted By mart_r
It was the scene where Goofy and Max were...

It was the scene where Goofy and Max were approaching the most important junction of their trip, and Goofy asked whether they go left or right, and Max took a long time until, at the last second, he...
Forum: Number Theory Discussion Group 2020-10-27, 18:17
Replies: 27
Views: 1,998
Posted By mart_r
Correct - when the numbers have 1200 digits, on...

Correct - when the numbers have 1200 digits, on average about 1 in every 2762 numbers is a prime. This does not contradict the assumption that dense clusters of 447 primes of this size do exist....
Forum: Number Theory Discussion Group 2020-10-23, 18:38
Replies: 27
Views: 1,998
Posted By mart_r
Then, I'm afraid, the odds that anyone can help...

Then, I'm afraid, the odds that anyone can help you understand are about as good as the odds of finding an actual prime-447-tuplet.

Edit, FWIW:
If the first Hardy-Littlewood conjecture was wrong,...
Forum: Prime Gap Searches 2020-10-23, 18:24
Replies: 124
Views: 17,365
Posted By mart_r
I'm aware of Maier's paper, and I understand it...

I'm aware of Maier's paper, and I understand it for the most part (though I have to examine his 1981 paper again...). The main result is, with respect to the problem of gaps >= log2p, that there are...
Forum: Number Theory Discussion Group 2020-10-23, 16:12
Replies: 27
Views: 1,998
Posted By mart_r
Just because I can... Take, for instance, ...

Just because I can...

Take, for instance,
n = 1566280308578217520031412816790827048467516641360946961779273951
and set p = 163#, or in full,
p =...
Showing results 1 to 25 of 620

 
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