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Forum: Prime Gap Searches 2021-04-13, 20:17
Replies: 39
Views: 14,241
Posted By mart_r
Jeg har mye mer data...

Fooling around with the data for the first prime in an arithmetic progression, I noticed a peculiar pattern regarding the chance that p/[[$]\varphi[/$](q)*log²p] > x for increasing values of x.
...
Forum: Prime Gap Searches 2021-04-08, 20:47
Replies: 39
Views: 14,241
Posted By mart_r
Ich hab noch mehr Daten...

More data, dedicated to science.

While I'm at it, I also search for the largest instance per q of the least prime in an arithmetic progression p=k*q+r. The most recent work I could find on this is...
Forum: Prime Gap Searches 2021-04-02, 10:35
Replies: 18
Views: 521
Posted By mart_r
These are some exciting news! I'm going to do...

These are some exciting news!
I'm going to do some tests with the numbers in the coming days.
Forum: ONeil 2021-04-02, 07:37
Replies: 86
Views: 3,132
Posted By mart_r
Well, in some countries, people are dying in an...

Well, in some countries, people are dying in an unprecedented manner, especially in Brazil.
Certainly some of them died after they got their jab.
But I strongly doubt there is much of a correlation...
Forum: Other Mathematical Topics 2021-03-28, 17:55
Replies: 1
Views: 152
Posted By mart_r
Well, maybe that was too specific. BTW, I...

Well, maybe that was too specific.

BTW, I already went through some works of Maier, Cadwell, and related works of Granville, Pintz and some others, and was hoping I overlooked some lesser-known...
Forum: Other Mathematical Topics 2021-03-27, 17:37
Replies: 1
Views: 152
Posted By mart_r
Bandwidth of #coprimes to p# in intervals of fixed length

At the moment I'm interested in the behavior of numbers coprime to p#, or p-quasiprimes, as they are also called.

Specifically, a question regarding the bandwidth of the number of coprimes that...
Forum: Science & Technology 2021-03-21, 20:24
Replies: 189
Views: 9,155
Posted By mart_r
My mom (80) had her first BioNTech/Pfizer shot on...

My mom (80) had her first BioNTech/Pfizer shot on Wednesday. Apart from feeling a bit tired - as she mostly does - she didn't mention any other side effects.
Forum: Prime Gap Searches 2021-03-21, 20:06
Replies: 45
Views: 14,847
Posted By mart_r
Thanks a lot! Though my tablet has problems...

Thanks a lot!
Though my tablet has problems downloading/viewing the list, my dinosaur PC with a direct cable connection to the web handles it nicely and fast.:smile:
Forum: Miscellaneous Math 2021-03-20, 16:49
Replies: 58
Views: 1,375
Posted By mart_r
You will very rarely hear such a statement from...

You will very rarely hear such a statement from anyone who really is good at math...
Forum: Prime Gap Searches 2021-03-20, 12:30
Replies: 45
Views: 14,847
Posted By mart_r
I recognize that search strategy.:smile: You...

I recognize that search strategy.:smile:
You get about 10% higher merits in the range around p# + or - p² than in a random search.
Still not as efficient as the deficient primorials though, but...
Forum: And now for something completely different 2021-03-11, 17:58
Replies: 35
Views: 3,155
Posted By mart_r
:shock: Wow. And those new 13-tuplets...

:shock: Wow.


And those new 13-tuplets will knock my two precious 13-tuplets off the top-10-list:sad:
Aber Ehre wem Ehre gebührt:thumbs-up:
Forum: Prime Gap Searches 2021-03-06, 10:27
Replies: 11
Views: 664
Posted By mart_r
There hasn't been significant progress since...

There hasn't been significant progress since then, mostly because the program for the exhaustive search is rather inefficient for numbers larger than 264.

ATH has searched a little further:...
Forum: Prime Gap Searches 2021-03-05, 22:31
Replies: 39
Views: 14,241
Posted By mart_r
February was too short, no time for an update

Nothing to write home about anyway...

max. p searched:
q <= 1000: 2.000e+13
1000 < q <= 2690: 1.489e+13
2690 < q <= 4566: 1.002e+12
4566 < q <= 1e+5: 2.755e+11
1e+5 <...
Forum: Lounge 2021-02-22, 16:39
Replies: 4,268
Views: 318,225
Posted By mart_r
Arpanet?

Arpanet?
Forum: Miscellaneous Math 2021-02-08, 18:03
Replies: 17
Views: 1,197
Posted By mart_r
I'll see to it. As soon as Elon Musk's...

I'll see to it. As soon as Elon Musk's hyper-space sub-particle Auger flux quantum computer is available.
Forum: Miscellaneous Math 2021-02-07, 20:54
Replies: 17
Views: 1,197
Posted By mart_r
Okay, let me try 2^82589933+80875047 ...

Okay, let me try

2^82589933+80875047
2^82589933+148316925
2^82589933+205790751
2^82589933+326805255
2^82589933+382879239
2^82589933+432870647
2^82589933+516518021
2^82589933+768187217
Forum: And now for something completely different 2021-01-27, 19:11
Replies: 9
Views: 751
Posted By mart_r
Contfracs on p/q# with q# ~ p should also work...

Contfracs on p/q# with q# ~ p should also work wonders in finding a shorter representation.

Congrats on the titanic septuplet!

Does anyone have an ETA on the first 24-tuplet?:whistle:
Forum: Prime Gap Searches 2021-01-21, 21:59
Replies: 227
Views: 43,942
Posted By mart_r
Taking 1.22e16 to 1.25e16.

Taking 1.22e16 to 1.25e16.
Forum: Prime Gap Searches 2021-01-21, 21:53
Replies: 39
Views: 14,241
Posted By mart_r
I won't give up, not yet

Search stats:
max. p searched:
q <= 1000: 1.985e+13
1000 < q <= 2690: 1.211e+13
2690 < q <= 1e+5: 2.347e+11
1e+5 < q <= 2e+5: 6.245e+10
2e+5 < q <= 5e+5: 6.050e+10...
Forum: Prime Gap Searches 2020-12-31, 15:29
Replies: 3
Views: 898
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: 227
Views: 43,942
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: 39
Views: 14,241
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: 35
Views: 3,155
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: 39
Views: 14,241
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: 1,371
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...
Showing results 1 to 25 of 639

 
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