k.Mp +/- 1

[a1call]

Good stuff Serge,
Thanks for saving me the hassle. That would have definitely taken me more than a month to find.
Kudos to you sir.
But I think as difficult as it was, it is still a much smaller k than one would have expected for a 10k dd+ (Or is it 13k dd+) twin prime pair if the distribution was unbiased.
I will leave it to Mr. Greathouse to do the probability calculation. It must be about square of the probability getting a single prime of the size.

[a1call]

The sequence A126612 was approved in 2007.
It seems to be missing the M607 entry, 44649.


The additional entries are:

64125, 533040, 407635, 273249 (found by Paul Underwood), 3901012, 718187, 3527063, 9522163, [M21701 entry], 20121642 (found by Batalov), 337342290 (found by Batalov).


I do not have editing privileges.
what is the process of completing the list?

Thanks in advance.

[Batalov]

For a price of $50 on aws I found this pair, too:
2332724220*(2^86243-1)±1 are prime

[GP2]

Originally Posted by a1call

I do not have editing privileges.
what is the process of completing the list?

Thanks in advance.

If Batalov can vouch for the validity of these new entries he could add them to OEIS.

[Batalov]

Ok I will fill in the k value for 21701, and will do a light doublecheck and will submit next week

[a1call]

I am following this thread but have not had the time to properly post to it.
The minimal k.6 for 21701 is
23128315.6.M21701 +/-1
Kudos to Batalov for the 25k dd+ solution.

[a1call]

To post a more complete post for M21701:
23128315.6.M21701 +/- 1 are minimal Twin-Primes for M21701 with 6541 dd each.
Found using Pari-GP & PFGW.


ETA:

23128315*6*(2^21701-1)+1
23128315*6*(2^21701-1)-1

[a1call]

Originally Posted by GP2

If Batalov can vouch for the validity of these new entries he could add them to OEIS.

Thank you GP2 for letting me know that.
I have a question for you:

i tried to create a Windows server instance on Google-Compute with 96 cores, but I keep getting the message that there is a quota limit of 24 cores for that region. When I check the availability for the region it states that up to 96 cores should be available with the skylake.
How do I setup a Windows instance with 96 cores?

Thank you in advance for your insight.

[a1call]

Originally Posted by Batalov

For a price of $50 on aws I found this pair, too:
2332724220*(2^86243-1)±1 are prime

Again, kudos to Serge for finding the 25972 dd pair of Twin-Primes.

I will setup a run for the next Mersenne-Prime in the queue: M110503.
I do not expect a timely resolution. BTW if anyone wants to find Twins for M216091, please be my guest. there are no Twin-Primes for it below 1241000.6.M216091.

[Batalov]

Originally Posted by a1call

The sequence A126612 was approved in 2007.
It seems to be missing the M607 entry, 44649.

I lightly double-checked and posted the correct sequence and some comments. ("various researchers extended sequence"). The sequence is now correct (in the sense: all primes are checked, minimality double-checked for a(1-23); it only takes a couple hours if done optimally).

With regards to individual contributions: The editors' position is that everyone can post only their results, so my comments about others' contributions were edited out. Those who have anything to add are encouraged to register and post their own edits.