Counting up in prime numbers #2

RogerE · Post by **RogerE** » 24 May 2020 04:01

New page, after more than 17hrs:

113117

RogerE · Post by **RogerE** » 24 May 2020 16:02

After 12 hrs or so:

113123

Have hatter and MrSamoa abandonned this thread?

RogerE · Post by **RogerE** » 25 May 2020 04:21

After another 12 hrs:

113131

hatter · Post by **hatter** » 25 May 2020 06:25

113143
113147
113149

a triple

will leave the next for . . . . whoever

RogerE · Post by **RogerE** » 25 May 2020 15:16

I'm happy for you hatter — but where have you been?

113153

/RogerE

(I patiently made the previous five "single" posts to this thread at well-spaced
intervals over 62hrs. It doesn't yet feel like "taking turns".

We've now seen one of the triples foreseen by MrSamoa, and there are more
configurations just ahead. We are passing through very prime-rich territory.)

RogerE · Post by **RogerE** » 26 May 2020 12:56

After another 21+ hrs:

113159
113161

Please continue...

/RogerE

RogerE · Post by **RogerE** » 27 May 2020 01:51

I guess not. After 13+ hrs:

I think you "both" kindly left it for me — thank you

A neighbourly quadruple —

113167

113171
113173

113177

Happy me

/RogerE

Part of the story:
the clustered location of the small prime factors 2, 3, 5, 7, 11, 13, 17
in 7 numbers of the interval [113167..113178] ensures that the other
members of the interval have no small factor, so increases the probability
that they will be prime — which happens spectacularly here

113168 = 2*2*2*2*11*643
113169 = 3*7*17*317
113170 = 2*5*11317
113172 = 2*2*3*9431
113174 = 2*71*797
113175 = 3*3*5*5*503
113176 = 2*2*2*7*43*47
113178 = 2*3*13*1451

RogerE · Post by **RogerE** » 27 May 2020 14:11

I think I meant "8 numbers of the interval"

After 12 hours:

113189

RogerE · Post by **RogerE** » 28 May 2020 15:38

After 24hrs:

113209

There is another close by, but I don't think it counts as a
neighbour configuration...

RogerE · Post by **RogerE** » 29 May 2020 02:20

After 10+ hrs:

113213

RogerE · Post by **RogerE** » 30 May 2020 03:13

After 24+ hrs:

113227

Where are all y'all?

Stamp collector · Post by **Stamp collector** » 30 May 2020 05:07

113233

RogerE · Post by **RogerE** » 30 May 2020 13:21

Hello Stamp collector. Thanks for joining in

After a very big jump, we have
113279

Stamp collector · Post by **Stamp collector** » 30 May 2020 17:52

113287 when are you completing 8000 posts RogerE?

Wolfgang · Post by **Wolfgang** » 01 Jun 2020 07:36

113327

RogerE · Post by **RogerE** » 01 Jun 2020 12:10

Wolfgang wrote: ↑
01 Jun 2020 07:36
113327

With a twin prime 113329
to be noted.

Probably participants in this thread know well that it is a famous unproven
conjecture that there are infinitely many twin primes p, p+2. The numerical
experience/evidence is persuasive...

/RogerE

RogerE · Post by **RogerE** » 01 Jun 2020 12:15

113341

hatter · Post by **hatter** » 01 Jun 2020 19:33

113357
113359

RogerE · Post by **RogerE** » 02 Jun 2020 03:54

113363

RogerE · Post by **RogerE** » 03 Jun 2020 03:36

After almost 24hrs:

113371

RogerE · Post by **RogerE** » 03 Jun 2020 03:39

Having waited 24 hrs, I believe it's fair for me to take another step now, isn't it‽

113381

113383

/RogerE

Stamp collector · Post by **Stamp collector** » 03 Jun 2020 06:00

113417

RogerE · Post by **RogerE** » 03 Jun 2020 18:02

113,437

Stamp collector · Post by **Stamp collector** » 04 Jun 2020 05:22

113453

RogerE · Post by **RogerE** » 04 Jun 2020 23:10

113467

RogerE · Post by **RogerE** » 05 Jun 2020 18:52

After almost 20hrs:

113489

RogerE · Post by **RogerE** » 06 Jun 2020 18:59

After another 24hrs:

113497

RogerE · Post by **RogerE** » 07 Jun 2020 21:13

After another 26hrs:

113501

hatter · Post by **hatter** » 08 Jun 2020 06:58

113513

hatter · Post by **hatter** » 08 Jun 2020 06:59

113537
113539

RogerE · Post by **RogerE** » 08 Jun 2020 12:21

113557

Remember the suggestion that we take turns‽

/RogerE

hatter · Post by **hatter** » 08 Jun 2020 20:13

113567

you posted a stream while I was away

RogerE · Post by **RogerE** » 09 Jun 2020 13:31

I didn't know you were away hatter.
(Can you still travel under Covid19 constraints? I cannot do so yet.)
Yes, I did post a "stream" on this thread, but only with quite long time intervals between each one, to allow others to take a turn. Well, no problem — presumably we're back on track now.

113591

hatter · Post by **hatter** » 09 Jun 2020 21:48

113621
113623

away from stampboards, medical, not away from home unfortunatly

RogerE · Post by **RogerE** » 09 Jun 2020 22:52

Ahhh, well, welcome home again!

193,647

hatter · Post by **hatter** » 10 Jun 2020 02:37

you've leapt ahead quite a bit
next should be
113647

BlackTuesday · Post by **BlackTuesday** » 10 Jun 2020 11:21

113657

RogerE · Post by **RogerE** » 10 Jun 2020 14:24

Sorry about the typo with 193,647 for 113,647

Now back on track:
113,683

BlackTuesday · Post by **BlackTuesday** » 11 Jun 2020 02:50

113,717

RogerE · Post by **RogerE** » 11 Jun 2020 14:10

BlackTuesday, in fact that was the start of a prime-triple.
[The conventions of this thread encourage listing of all members
of a close-as-possible configuration in a single post.]

113717
113719
113723

/RogerE

BlackTuesday · Post by **BlackTuesday** » 11 Jun 2020 19:59

RogerE wrote: ↑
11 Jun 2020 14:10
BlackTuesday, in fact that was the start of a prime-triple.
[The conventions of this thread encourage listing of all members
of a close-as-possible configuration in a single post.]

113717
113719
113723

/RogerE

Thanks RogerE! ... I will remember it!

BlackTuesday · Post by **BlackTuesday** » 11 Jun 2020 20:00

113731

RogerE · Post by **RogerE** » 11 Jun 2020 22:28

113749,

RogerE · Post by **RogerE** » 11 Jun 2020 22:29

113759

Sorry I accidentally posted twice, so needed to edit the second post.

And it turns out to be a twin pair :

113761

BlackTuesday · Post by **BlackTuesday** » 13 Jun 2020 00:42

Look at that, a prime-triple again

113777
113779
113783

RogerE · Post by **RogerE** » 13 Jun 2020 03:41

Nice work BlackTuesday

Next is the isolated prime
113797

BlackTuesday · Post by **BlackTuesday** » 13 Jun 2020 07:19

Thank you RogerE!

Next one is:

113,809

RogerE · Post by **RogerE** » 14 Jun 2020 01:26

113819

BlackTuesday · Post by **BlackTuesday** » 14 Jun 2020 07:19

113837

I'm wondering, how much difference should be regarded to define a close one prime

Next one is 6 numbers away

RogerE · Post by **RogerE** » 14 Jun 2020 13:52

113,843

Looking back, I noticed a suggestion that we insert a separating comma to help us parse these numbers and avoid typos in the "middle digits". That seems to be a good idea, so I will try to comply from now on

/RogerE

Footnote:
Hello BlackTuesday. I am relatively a new-comer to this thread, so a month ago I asked a similar question. I followed up with my understanding of a suitable description of a neighbourly configuration of primes. You can see whether you're comfortable with my ideas, discussed at
https://www.stampboards.com/viewtopic.php?f=11&t=85523&start=322