Counting up in prime numbers #2

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Re: Counting up in prime numbers #2

Post by RogerE »

New page, after more than 17hrs:

113117

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Re: Counting up in prime numbers #2

Post by RogerE »

After 12 hrs or so:

113123

Have hatter and MrSamoa abandonned this thread?

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Re: Counting up in prime numbers #2

Post by RogerE »

After another 12 hrs:

113131

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Re: Counting up in prime numbers #2

Post by hatter »

113143
113147
113149


a triple
:D :D :D

will leave the next for . . . . whoever
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Re: Counting up in prime numbers #2

Post by RogerE »

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

113153

/RogerE :D

(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". :o
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.)

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Re: Counting up in prime numbers #2

Post by RogerE »

After another 21+ hrs:

113159
113161

Please continue...

/RogerE :D

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Re: Counting up in prime numbers #2

Post by RogerE »

I guess not. After 13+ hrs:

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

A neighbourly quadruple

113167

113171
113173

113177

Happy me :!:
/RogerE :D

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 :D
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

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Re: Counting up in prime numbers #2

Post by RogerE »

I think I meant "8 numbers of the interval" :(

After 12 hours:

113189

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Re: Counting up in prime numbers #2

Post by RogerE »

After 24hrs:

113209

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

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Re: Counting up in prime numbers #2

Post by RogerE »

After 10+ hrs:

113213

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Re: Counting up in prime numbers #2

Post by RogerE »

After 24+ hrs:

113227

Where are all y'all?

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Re: Counting up in prime numbers #2

Post by Stamp collector »

113233
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Re: Counting up in prime numbers #2

Post by RogerE »

Hello Stamp collector. Thanks for joining in :D

After a very big jump, we have
113279

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Re: Counting up in prime numbers #2

Post by Stamp collector »

113287 when are you completing 8000 posts RogerE? :?
:D
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Re: Counting up in prime numbers #2

Post by Wolfgang »

113327
Papua New Guinea stamps and postal history: https://www.i-ng.org
I am always interested in buying commercial mail from PNG.

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Re: Counting up in prime numbers #2

Post by RogerE »

Wolfgang wrote:
01 Jun 2020 07:36
113327
With a twin prime 113329
to be noted. :D

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 :D

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Re: Counting up in prime numbers #2

Post by RogerE »

113341

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Re: Counting up in prime numbers #2

Post by hatter »

113357
113359


:D
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Re: Counting up in prime numbers #2

Post by RogerE »

113363

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Re: Counting up in prime numbers #2

Post by RogerE »

After almost 24hrs:

113371

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Re: Counting up in prime numbers #2

Post by RogerE »

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

113381

113383

/RogerE :D

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Re: Counting up in prime numbers #2

Post by Stamp collector »

113417
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Re: Counting up in prime numbers #2

Post by RogerE »

113,437

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Re: Counting up in prime numbers #2

Post by Stamp collector »

113453 :lol: :!:
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Re: Counting up in prime numbers #2

Post by RogerE »

113467

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Re: Counting up in prime numbers #2

Post by RogerE »

After almost 20hrs:

113489

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Re: Counting up in prime numbers #2

Post by RogerE »

After another 24hrs:

113497

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Re: Counting up in prime numbers #2

Post by RogerE »

After another 26hrs:

113501

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Re: Counting up in prime numbers #2

Post by hatter »

113513
Hatter

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Re: Counting up in prime numbers #2

Post by hatter »

113537
113539
Hatter

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Re: Counting up in prime numbers #2

Post by RogerE »

113557

Remember the suggestion that we take turns‽

/RogerE :D

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Re: Counting up in prime numbers #2

Post by hatter »

113567


you posted a stream while I was away :(
Hatter

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Re: Counting up in prime numbers #2

Post by RogerE »

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. :D

113591

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Re: Counting up in prime numbers #2

Post by hatter »

113621
113623




away from stampboards, medical, not away from home unfortunatly :roll:
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Re: Counting up in prime numbers #2

Post by RogerE »

Ahhh, well, welcome home again!

193,647

:D

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Re: Counting up in prime numbers #2

Post by hatter »

you've leapt ahead quite a bit
next should be
113647
:?
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Re: Counting up in prime numbers #2

Post by BlackTuesday »

113657
Not totally absent, but due to workload currently in mini sabbatical mode on the board!

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Re: Counting up in prime numbers #2

Post by RogerE »

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

Now back on track:
113,683

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Re: Counting up in prime numbers #2

Post by BlackTuesday »

113,717
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Re: Counting up in prime numbers #2

Post by RogerE »

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 :D

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Re: Counting up in prime numbers #2

Post by BlackTuesday »

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 :D
Thanks RogerE! ... I will remember it!
Last edited by BlackTuesday on 11 Jun 2020 20:02, edited 1 time in total.
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Re: Counting up in prime numbers #2

Post by BlackTuesday »

113731
Not totally absent, but due to workload currently in mini sabbatical mode on the board!

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Re: Counting up in prime numbers #2

Post by RogerE »

113749,

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Re: Counting up in prime numbers #2

Post by RogerE »

113759

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

And it turns out to be a twin pair :

113761

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Re: Counting up in prime numbers #2

Post by BlackTuesday »

Look at that, a prime-triple again

113777
113779
113783
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Re: Counting up in prime numbers #2

Post by RogerE »

Nice work BlackTuesday :D

Next is the isolated prime
113797

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Re: Counting up in prime numbers #2

Post by BlackTuesday »

Thank you RogerE! :D

Next one is:

113,809
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Re: Counting up in prime numbers #2

Post by RogerE »

113819 :D

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Re: Counting up in prime numbers #2

Post by BlackTuesday »

113837

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

Next one is 6 numbers away
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Re: Counting up in prime numbers #2

Post by RogerE »

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 :D

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

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