Mersenne number factored (disbelievers are biting elbows) - Page 22

MatWur-S530113 · 2014-10-12, 15:34

Congratulation, too.

Prime95 · 2014-10-12, 15:42

Quote:

Originally Posted by axn

EDIT:- Anybody know how to make P95 use a different base to do the PRP test?

Congrats. Try adding PRPBase=n to prime.txt.

paulunderwood · 2014-10-12, 15:45

Quote:

Originally Posted by axn

There is something to be said for dumb luck.

Code:

M3464473/604874508299177 is a probable prime! We4: E866B6FC,00000000

Still need to do some (slow) independent check with PFGW. Ugh!

EDIT:- Anybody know how to make P95 use a different base to do the PRP test?

Congrats.

If I were you, I would run:

Code:

./pfgw64 -tc -q"(2^3464473-1)/604874508299177"

to get a fermat+lucas PRP test done.

axn · 2014-10-13, 12:07

Quote:

Originally Posted by Prime95

Try adding PRPBase=n to prime.txt.

Thanks. That worked (well, it isn't obvious that it worked, so I tried it first on a composite number).

Quote:

Originally Posted by paulunderwood

If I were you, I would run:

Code:

./pfgw64 -tc -q"(2^3464473-1)/604874508299177"

to get a fermat+lucas PRP test done.

I have already submitted the PRP to the Top list after passing b=5,7 tests, but I will run this as well. The problem is that PFGW doesn't have suspend/resume for these tests, so I'll have to be careful not to shutdown my laptop or interrupt the test in anyway while it runs. Probably will take the better part of a day (or more) to run it, since PFGW uses the generic FFT for them.

alpertron · 2014-12-11, 16:29

I've just found:

M488,441 = 61543567 x 30051203516986199 x PRP-147012

c10ck3r · 2014-12-12, 03:54

Quote:

Originally Posted by alpertron

I've just found:

M488,441 = 61543567 x 30051203516986199 x PRP-147012

Anyone up for making: a) a website or b) a codebox on the first post to show what Mersenne numbers have been "fully factored" (PRPs anyways)?

Batalov · 2014-12-12, 03:58

There is already a website.

LaurV · 2014-12-12, 03:58

@Dario:

(edit 2: @Batalov: also on James')

TheMawn · 2014-12-12, 04:31

I'm a bit unfamiliar with Probable Primes. How Probable is Probable? Is there a realistic chance that any of the PRP's for the "fully factored" Mersennes are actually composite?

retina · 2014-12-12, 04:40

Quote:

Originally Posted by TheMawn

Is there a realistic chance that any of the PRP's for the "fully factored" Mersennes are actually composite?

There is a more realistic chance you will be hit by lightning whilst simultaneously being hit by a meteor whilst simultaneously experiencing an earthquake of magnitude 9.9 on Friday the 13th at 06:06:06 in the morning.

wombatman · 2014-12-12, 04:41

2014-12-12, 03:58	#239
LaurV Romulan Interpreter Jun 2011 Thailand 5·17·109 Posts	@Dario: (edit 2: @Batalov: also on James') Last fiddled with by LaurV on 2014-12-12 at 04:02 Reason: @ dario (had the page open, didn't refresh, the other two guys crossposted)

2014-12-12, 04:41	#242
wombatman I moo ablest echo power! May 2013 1,741 Posts	Attached Thumbnails

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2014-10-12, 15:34	#232
MatWur-S530113 Apr 2007 Spessart/Germany 2·3⁴ Posts	Congratulation, too.

2014-12-11, 16:29	#236
alpertron Aug 2002 Buenos Aires, Argentina 10100111110₂ Posts	I've just found: M488,441 = 61543567 x 30051203516986199 x PRP-147012

2014-12-12, 03:58	#238
Batalov "Serge" Mar 2008 Phi(4,2^7658614+1)/2 2·4,663 Posts	There is already a website.

2014-12-12, 04:31	#240
TheMawn May 2013 East. Always East. 11·157 Posts	I'm a bit unfamiliar with Probable Primes. How Probable is Probable? Is there a realistic chance that any of the PRP's for the "fully factored" Mersennes are actually composite?