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Forum: Prime Gap Searches 2020-08-08, 12:52
Replies: 26
Views: 4,537
Posted By mart_r
Specifically, between 5*1012 and 7.3*1012 for...

Specifically, between 5*1012 and 7.3*1012 for q<=1000 the largest CSG is about 0.8849, which puts a large question mark behind ever finding another gap that is larger than both q² and \varphi(q) *...
Forum: Prime Gap Searches 2020-08-05, 21:11
Replies: 26
Views: 4,537
Posted By mart_r
From day to day I anticipated another result...

From day to day I anticipated another result where q and r would both be prime, but to no avail. These are some of the most frustratingly near misses:

q phi k p CSG ...
Forum: Lounge 2020-07-31, 20:18
Replies: 47
Views: 1,374
Posted By mart_r
Supercalifragilisticexpialidocious! 2021 ...

Supercalifragilisticexpialidocious!

2021
a
a1call's
abbreviations
abound
about
activities
adjectives
Forum: Science & Technology 2020-07-30, 21:12
Replies: 66
Views: 8,241
Posted By mart_r
Is Science & Technology coming to a standstill?

I guess it's more like:

"Human evolution has been stopped by superfluous technology..."

https://www.youtube.com/watch?v=Q0VGRlEJewA

"... and Biff reigns supreme."
Forum: Prime Gap Searches 2020-07-26, 20:19
Replies: 205
Views: 17,940
Posted By mart_r
I'm releasing most of my reservation and going...

I'm releasing most of my reservation and going back to reserving only a finite range.:smile:
To keep this project alive, here's the 411:

Stats for k < 9.9e15 in the attachment.

Reservations:...
Forum: Soap Box 2020-07-23, 19:19
Replies: 1,225
Views: 47,587
Posted By mart_r
There's a reason I found the episode "Peter for...

There's a reason I found the episode "Peter for president" from the series "Angelo Rules" so funny...:smile:
Forum: Other Mathematical Topics 2020-07-20, 13:37
Replies: 12
Views: 1,925
Posted By mart_r
If there's a single person other than me out...

If there's a single person other than me out there who was stumped by this problem, let me solve it by referring to the Buchstab function. This paper, on page 11, contains the very answers to my...
Forum: Prime Gap Searches 2020-07-20, 09:30
Replies: 3
Views: 305
Posted By mart_r
Apparently the Windows version doesn't run on Mac...

Apparently the Windows version doesn't run on Mac PCs. Have you tried the Linux version? I think it's this one: https://www.mersenneforum.org/showpost.php?p=533749&postcount=142

I'm not quite an...
Forum: Prime Gap Searches 2020-07-19, 09:48
Replies: 26
Views: 4,537
Posted By mart_r
Umm... are my posts even visible to anybody other...

Umm... are my posts even visible to anybody other than Bobby?
Forum: Prime Gap Searches 2020-07-15, 22:11
Replies: 26
Views: 4,537
Posted By mart_r
No major news in the last few weeks, but in the...

No major news in the last few weeks, but in the attachment there's the data for CSGmax up to p=2n for n=[16..41] and q<=2690. Data for p=242 might follow next week. Minor differences in conduct...
Forum: Prime Gap Searches 2020-06-29, 08:51
Replies: 205
Views: 17,940
Posted By mart_r
After you unzipped the folder - mine is under...

After you unzipped the folder - mine is under "C:\Program Files\twingaps" - your command input looks like this:

C:\Users> cd..
C:\> cd Program Files\twingaps
C:\Program Files\twingaps>...
Forum: Languages -- Ancient & Modern, Human & Machine 2020-06-28, 14:37
Replies: 2
Views: 103
Posted By mart_r
- The issue is about language and creativity....

- The issue is about language and creativity. And, perhaps mostly, entertainment.
- I maybe did forget part of it. But I still "understand" about 90% of it.
- You're supposed to enjoy - at least...
Forum: Languages -- Ancient & Modern, Human & Machine 2020-06-28, 11:47
Replies: 2
Views: 103
Posted By mart_r
In search of a language

A little something written by yours truly at the age of eleven.
Did some white out on the names to protect the innocent :smile:
Forum: Prime Gap Searches 2020-06-19, 19:12
Replies: 26
Views: 4,537
Posted By mart_r
As far as I know, it is. I'm not aware of any...

As far as I know, it is.
I'm not aware of any gap with a larger CSG value.
Forum: Lounge 2020-06-17, 10:51
Replies: 47
Views: 1,374
Posted By mart_r
Darn! Quick response failed. Something went...

Darn! Quick response failed. Something went wrong, internet died. Why?? Arrghh!!
Came prepared, meeting high expectations. Was useless.:unhappyme:
Found four mistakes:


Fun challenge anyway....
Forum: Lounge 2020-06-16, 14:59
Replies: 47
Views: 1,374
Posted By mart_r
Waiting, yet noone replying? Oh well... Know...

Waiting, yet noone replying? Oh well...
Know how they say, finders keepers.

Hmm, looks quite good so far, except rogue's #7.
Ignore a1call's musings (#8)?

Rainy day today, from dawn till...
Forum: Lounge 2020-06-16, 13:09
Replies: 47
Views: 1,374
Posted By mart_r
Restrictions galore! Overwhelmingly intricate...

Restrictions galore! Overwhelmingly intricate task.
My mind: bamboozled.

Truly interesting game here nevertheless. Like!:tu:

Hey, those are twenty-three different semantic letter combinations...
Forum: PARI/GP 2020-06-15, 11:29
Replies: 46
Views: 1,161
Posted By mart_r
Instead of getlocalbitprec(), I mean.:davieddy: ...

Instead of getlocalbitprec(), I mean.:davieddy:
Is it past my bedtime again, already?
Forum: PARI/GP 2020-06-15, 10:07
Replies: 46
Views: 1,161
Posted By mart_r
Now it works for me, too. Thanks, to both of...

Now it works for me, too.
Thanks, to both of you.

In version 2.11.4 it would have also worked with floor(default(realprecision)/.30103) instead of getrealprecision. I probably could have figured...
Forum: PARI/GP 2020-06-14, 22:15
Replies: 46
Views: 1,161
Posted By mart_r
Okay, I got the newest version and the program...

Okay, I got the newest version and the program can now be read in.

But it is still not working as desired, I'm afraid:
(23:53) gp > HardyLittlewood2(x^2+x+41)
*** at top-level:...
Forum: PARI/GP 2020-06-14, 16:25
Replies: 46
Views: 1,161
Posted By mart_r
There is a program for the computation of...

There is a program for the computation of Hardy-Littlewood constants for quadratic polynomials in A221712, but it doesn't seem to work:

/* Auxiliary functions. */
ZetaDN(P, s) = zeta(s) * prod(j...
Forum: Prime Gap Searches 2020-06-10, 15:11
Replies: 26
Views: 4,537
Posted By mart_r
Exclamation Mind the gap!

A killing sieve at work:

g = 99,754,416
p = 397,778,383
q = 615,768 = 2³ × 3 × 25,657
phi(q) = 205,248
k = 162
g / [phi(q) log²(p')] = 1.21199459979...
Sum Ri'(x) method = 1.2250203518......
Forum: Prime Gap Searches 2020-06-08, 21:15
Replies: 6
Views: 1,348
Posted By mart_r
*Sigh* Okay, I have a go at it. But only because...

*Sigh* Okay, I have a go at it. But only because I have some exclusive data.
q: k for which there exist maximal gaps q*k after a prime p in an arithmetic progression p+q*k where all smaller first...
Forum: Prime Gap Searches 2020-06-07, 12:30
Replies: 26
Views: 4,537
Posted By mart_r
prob·a·bly adv. very likely; without much doubt...

prob·a·bly adv. very likely; without much doubt (Webster's New World basic dictionary of American English)
If a number P between 0 and 1 should be assigned in this regard, how large would it be?
...
Forum: Prime Gap Searches 2020-06-03, 18:11
Replies: 26
Views: 4,537
Posted By mart_r
Just for fun, I let my program look for q up to...

Just for fun, I let my program look for q up to 3*105 for a couple millions of p, and within one day, I found more than 50 new extraordinarily large gaps (larger than \varphi(q)*log²(p)). The largest...
Showing results 1 to 25 of 559

 
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