Welcome to Lone Mersenne Hunters

tha · 2003-02-04, 20:58

Hi,

This forum is for all those who work on exponents that have not been assigned to them or others by the Primenet server. A number of people trialfactor large ranges of exponents to eliminate candidates as early as possible. Other people wish to do LL testing of exponents in ranges where they expect a higher chance to find a Mersenne Prime.
Check the postings over here to make sure you are not doing work already being worked on by someone else. Post here if you are trying something you want others to be aware of.

Happy hunting!

Tha.

jocelynl · 2003-02-05, 03:47

Now I see that I`m not alone. We should change the name to orgranised Mersenne Hunters since we`re now in the open. I don`t have any computers running for trial factoring right now. I already turned in a few hundred thousands so far. My computer are working on some new ECM algorithms. I hope it turn out ok so I get back to Factor hunting.

2003-02-06, 10:23

This is a good idea!
We need to use some theory on this

though....
any ideas?

QuintLeo · 2003-02-06, 19:52

I still like "PrimeThinners", since that's more-or-less what you're doing.

OK, "PrimeCandidateThinners" to be picky, but it doesn't have the same ring....

9-)

tha · 2003-02-06, 22:15

Quote:

Originally Posted by QuintLeo

I still like "PrimeThinners", since that's more-or-less what you're doing.

There has been an assumption made that the first 10,000,000 digit Mersenne prime is very close to M41,000,000. Some people want to LL test in that region. They are welcome over here to post exponents they are working on too.

YotN,

Henk

flava · 2003-02-10, 22:59

Quote:

Originally Posted by tha

There has been an assumption made that the first 10,000,000 digit Mersenne prime is very close to M41,000,000.

YotN,

Henk

Could you tell us more about that? Looking at the distribution of the first 38 or 39 Mersenne primes it would be difficult to predict the next one with a good accuracy (let's say less then 5,000,000). At least this is how I see it.

tha · 2003-02-11, 11:37

Quote:

Originally Posted by flava

Could you tell us more about that? Looking at the distribution of the first 38 or 39 Mersenne primes it would be difficult to predict the next one with a good accuracy (let's say less then 5,000,000). At least this is how I see it.

From

http://www.mail-archive.com/mersenne@base.com/msg05046.html
M#40 was predicted well, M#39 apparently not.

M#39 - 53.7390% probability - range=10987349-11013853
M#39 - 64.0127% probability - range=10914203-11092621
M#39 - 81.6073% probability - range=10793527-11204183
M#39 - 97.3391% probability - range=10526447-11390453

M#40 - 61.4726% probability - range=13430227-13501387
M#40 - 77.3902% probability - range=13359163-13592549
M#40 - 86.0715% probability - range=13231913-13684399
M#40 - 96.5507% probability - range=13092361-13973117

M#43 - 58.3097% probability - range=41976841-42057331
M#43 - 71.6352% probability - range=41901683-42138559
M#43 - 79.7464% probability - range=41753977-42302809
M#43 - 93.4218% probability - range=41564021-42516373

flava · 2003-02-11, 21:46

THAnks 8)
I still wait for a Mersenne prime to pop out in the 10,000,000 - 12,000,000 range but it looks like the list is getting thin... it is very probable now that 13466917 is M#39

dswanson · 2003-02-12, 03:05

Quote:

Originally Posted by flava

I still wait for a Mersenne prime to pop out in the 10,000,000 - 12,000,000 range but it looks like the list is getting thin... it is very probable now that 13466917 is M#39

Alternatively, this may turn out to be an instance where a double-check turns up a prime that was missed the first time around. 10.9M - 11.1M might be an enticing range for someone to start doublechecking early...

wackyeh · 2003-02-28, 22:37

Quote:

Originally Posted by tha

There has been an assumption made that the first 10,000,000 digit Mersenne prime is very close to M41,000,000. Some people want to LL test in that region. They are welcome over here to post exponents they are working on too.

I might note that I made the "assumption" based on some statistical analysis done... I might note that the prediction for 2^13,466,917 was also posted to the Mersenne mailing list a full 16 months before it was actually discovered...

That's why I have claimed the range 41,976,841 - 42,057,331 thru George... and have been doing full testing on it... I might mention that testing has been going on... since before 2^13,466,917 was discovered as well...

Anybody wishing to trial-factor, P-1 and/or L-L test the larger part of the predicted range (41,564,021 - 41,976,829 and 42,057,373 - 42,516373) is more than welcome to have at it... but as I have posted to the Mersenne mailing list... and the Yahoo list (now defunct)... there are NO guarantees or warranties offered up... Testing is at your own risk... of both success AND failure...

Eric

dswanson · 2003-02-28, 23:18

Quote:

Originally Posted by dswanson

10.9M - 11.1M might be an enticing range for someone to start doublechecking early...

I'll take myself up on my own offer. George, I'd like to reserve the range 10987349-11013853 for doublechecking. Is it sufficient to simply post that in this forum?

2003-02-04, 20:58	#1
tha Dec 2002 2×11×37 Posts	Welcome to Lone Mersenne Hunters Hi, This forum is for all those who work on exponents that have not been assigned to them or others by the Primenet server. A number of people trialfactor large ranges of exponents to eliminate candidates as early as possible. Other people wish to do LL testing of exponents in ranges where they expect a higher chance to find a Mersenne Prime. Check the postings over here to make sure you are not doing work already being worked on by someone else. Post here if you are trying something you want others to be aware of. Happy hunting! Tha.

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2003-02-05, 03:47	#2
jocelynl Sep 2002 2·131 Posts	Now I see that I`m not alone. We should change the name to orgranised Mersenne Hunters since we`re now in the open. I don`t have any computers running for trial factoring right now. I already turned in a few hundred thousands so far. My computer are working on some new ECM algorithms. I hope it turn out ok so I get back to Factor hunting.

2003-02-06, 10:23	#3
TTn 3·23·139 Posts	This is a good idea! We need to use some theory on this though.... any ideas?

2003-02-06, 19:52	#4
QuintLeo Oct 2002 Lost in the hills of Iowa 700₈ Posts	I still like "PrimeThinners", since that's more-or-less what you're doing. OK, "PrimeCandidateThinners" to be picky, but it doesn't have the same ring.... 9-)

2003-02-11, 21:46	#8
flava Feb 2003 2×59 Posts	THAnks 8) I still wait for a Mersenne prime to pop out in the 10,000,000 - 12,000,000 range but it looks like the list is getting thin... it is very probable now that 13466917 is M#39