Octoproth Discussion

Kosmaj · 2006-01-12, 03:12

Reserving
337 <= n <= 350.

Kosmaj · 2006-01-13, 10:53

Stopping and releasing n=337, checked to 200T.

Kosmaj · 2006-02-01, 05:38

Found the new largest OctoProth
1377602248158885 346

with 120 digits in k*2^n+/-1 members and 105 digits in 2^n+/-k ones.

Releasing 339-347, all checked to 1.5E15 (1500T).

Will work a little bit more on 348-350.

robert44444uk · 2006-02-02, 00:21

Well done Kosmaj, a notable scalp. just one thing, the difference between 2^k+n and 2^+k-n is probably worth noting.

Regards

Robert Smith

Kosmaj · 2006-02-02, 03:46

Robert, thanks! I was about to release them at 1300T but I thought I better go to the next "nice" number (1500T).

As for the difference between 2^n+k and 2^n-k it sure is 2k (a 16 digit number) but in comparison to numbers themselves it can /almost/ be ignored since the first 88 digits are the same and only the 17 least-significant digits are different.

BTW, since you have moderator rights and Greenbank /kind of/ disappeared, can you edit the first post and enter the latest results. Thanks!

robert44444uk · 2006-02-02, 14:23

Kosmaj, I am only an honorary moderator I think, I have no idea on how to massage the threads.

Maybe we should just await Greenbank's return and hope his absence is no more than a vacation.

Either that or we will need new moderators

Regards

Robert Smith

Kosmaj · 2006-02-02, 15:41

Well, celebrities too sometimes have to go under the hood and fix things

It's easy, just scroll to the post you want to change. Under the post you will see the "Edit" button. [Mortals cannot see it!

] Just click on it and the post will appear in an edit-mode window. After applying the changes just click on "Save" and Voila!, it's done!

robert44444uk · 2006-02-04, 11:50

Lads

I have updated everything to here

Regards

Robert Smith

Kosmaj · 2006-02-13, 04:23

Congrats on new records!

If we use the criterion suggested by Jens Andersen to compare them, then the k=164... one is slightly larger, 2^n+/-k members have 113 digits, k*2^n+/-1 twins have 128 and k*2^(n+1)+/-1 ones have 129 digits.

Jens K Andersen · 2006-02-13, 05:35

Hi. I recently joined the Mersenne forum.
My record page http://hjem.get2net.dk/jka/math/simultprime.htm would compare the 4th of 8 primes. This is 2^(n+1)+k for an octoproth, so the larger k wins.
It's a rule for my site (made with other forms in mind) and was not meant as a suggestion for you.

By the way, I have increased the record for 12 simultaneous primes from 44 to 58 digits.
This makes a dodecaproth record much harder.

jasong · 2006-03-05, 15:36

Is this the right place to place reservations for the octoproth search? I'm sitting on my results until someone confirms I'm not doing old work or invading someone else's territory.

2006-02-02, 00:21	#4
robert44444uk Jun 2003 Suva, Fiji 3770₈ Posts	Brill Well done Kosmaj, a notable scalp. just one thing, the difference between 2^k+n and 2^+k-n is probably worth noting. Regards Robert Smith

2006-02-02, 14:23	#6
robert44444uk Jun 2003 Suva, Fiji 2³·3·5·17 Posts	Moderator Kosmaj, I am only an honorary moderator I think, I have no idea on how to massage the threads. Maybe we should just await Greenbank's return and hope his absence is no more than a vacation. Either that or we will need new moderators Regards Robert Smith

2006-02-04, 11:50	#8
robert44444uk Jun 2003 Suva, Fiji 2³·3·5·17 Posts	All entered to here Lads I have updated everything to here Regards Robert Smith

2006-02-13, 04:23	#9
Kosmaj Nov 2003 2·1,811 Posts	Robert Congrats on new records! If we use the criterion suggested by Jens Andersen to compare them, then the k=164... one is slightly larger, 2^n+/-k members have 113 digits, k2^n+/-1 twins have 128 and k2^(n+1)+/-1 ones have 129 digits.

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2006-01-12, 03:12	#1
Kosmaj Nov 2003 2·1,811 Posts	Reserving 337 <= n <= 350.

2006-01-13, 10:53	#2
Kosmaj Nov 2003 2×1,811 Posts	Stopping and releasing n=337, checked to 200T.

2006-02-01, 05:38	#3
Kosmaj Nov 2003 2·1,811 Posts	Found the new largest OctoProth 1377602248158885 346 with 120 digits in k*2^n+/-1 members and 105 digits in 2^n+/-k ones. Releasing 339-347, all checked to 1.5E15 (1500T). Will work a little bit more on 348-350.

2006-02-02, 03:46	#5
Kosmaj Nov 2003 2×1,811 Posts	Robert, thanks! I was about to release them at 1300T but I thought I better go to the next "nice" number (1500T). As for the difference between 2^n+k and 2^n-k it sure is 2k (a 16 digit number) but in comparison to numbers themselves it can /almost/ be ignored since the first 88 digits are the same and only the 17 least-significant digits are different. BTW, since you have moderator rights and Greenbank /kind of/ disappeared, can you edit the first post and enter the latest results. Thanks!

2006-02-02, 15:41	#7
Kosmaj Nov 2003 111000100110₂ Posts	Well, celebrities too sometimes have to go under the hood and fix things It's easy, just scroll to the post you want to change. Under the post you will see the "Edit" button. [Mortals cannot see it! ] Just click on it and the post will appear in an edit-mode window. After applying the changes just click on "Save" and Voila!, it's done!

2006-02-13, 05:35	#10
Jens K Andersen Feb 2006 Denmark 2×5×23 Posts	Hi. I recently joined the Mersenne forum. My record page http://hjem.get2net.dk/jka/math/simultprime.htm would compare the 4th of 8 primes. This is 2^(n+1)+k for an octoproth, so the larger k wins. It's a rule for my site (made with other forms in mind) and was not meant as a suggestion for you. By the way, I have increased the record for 12 simultaneous primes from 44 to 58 digits. This makes a dodecaproth record much harder.

2006-03-05, 15:36	#11
jasong "Jason Goatcher" Mar 2005 3·7·167 Posts	Is this the right place to place reservations for the octoproth search? I'm sitting on my results until someone confirms I'm not doing old work or invading someone else's territory.