Help me understand this result?

LOBES · 2020-07-22, 03:11

This was assigned to me (as opposed to me getting it manually). I'm having trouble understanding the results:

https://www.mersenne.org/report_expo...ll=1&ecmhist=1

1. If it has been Factored, why is my result, and the one before mine, saying its a probable prime?
2. Why is the residue "PRP_PRP_PRP_PRP_"? That doesn't seem right?

Granted, I'm not very knowledgeable on the subject, I just like to Trial Factor mostly. Thanks!

retina · 2020-07-22, 03:53

The number had three known small factors.

So you were assigned the task to determine if the remainder is also a prime. And your result shows it is a prime with good probability, so the remainder is PRP, a probable prime.

Therefore that number is now fully factored (if you assume the PRP result is a real prime).

Uncwilly · 2020-07-22, 03:54

The remaining cofactor is a Probable Prime.
There are 3 factors listed. What is left after those are divide out looks to be a prime. Rejoice as this is fully factored now.
https://www.mersenne.ca/exponent/3307
Here is the remaining cofactor

Code:

4353524133827611408574208775478589622111831317341613312984483361937010301205675662770047321087657048773241272664969392649718635926074520045281026910770712314524181933285227032125890659729016386069176693616914507334697422980860732777622339397522425721336605336658097363439448188753603624197638404803872825913098432275237874692169933508441748813480413682045289248409103532867732796807798694178375216208599640289769681995273685523060799468166287838493578146083048523489321729004640944722830982540726315520246334782951056660779801812979132998107387817802450037638989678012221564659671646755919013676548232993387587588481088712201127163199334146273445861473198777280904858096693010663932570520300269384917851688798854877340668001753453962945664051594771519075317923436346650061743281400127677733596528217642970792987250908618113230982353461817488308071861173968794875263418257665630917664743895435713

thyw · 2020-07-23, 14:28

Why wouldn't the server assign type 5 prp-cf test? It uses type 5 when there's a factor known...

I must be missing something.

kruoli · 2020-07-23, 14:37

"Older" Versions of Prime95 default to type 1. The newer ones doesn't. And if there is a PRP-CF, the DC of it will always be with the same type.

2020-07-22, 03:11	#1
LOBES Mar 2019 USA 2·23 Posts	Help me understand this result? This was assigned to me (as opposed to me getting it manually). I'm having trouble understanding the results: https://www.mersenne.org/report_expo...ll=1&ecmhist=1 1. If it has been Factored, why is my result, and the one before mine, saying its a probable prime? 2. Why is the residue "PRP_PRP_PRP_PRP_"? That doesn't seem right? Granted, I'm not very knowledgeable on the subject, I just like to Trial Factor mostly. Thanks!

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2020-07-22, 03:53	#2
retina Undefined "The unspeakable one" Jun 2006 My evil lair 2³·751 Posts	The number had three known small factors. So you were assigned the task to determine if the remainder is also a prime. And your result shows it is a prime with good probability, so the remainder is PRP, a probable prime. Therefore that number is now fully factored (if you assume the PRP result is a real prime).

2020-07-23, 14:28	#4
thyw Feb 2016 ! North_America 116₈ Posts	Why wouldn't the server assign type 5 prp-cf test? It uses type 5 when there's a factor known... I must be missing something.

2020-07-23, 14:37	#5
kruoli "Oliver" Sep 2017 Porta Westfalica, DE 633₈ Posts	"Older" Versions of Prime95 default to type 1. The newer ones doesn't. And if there is a PRP-CF, the DC of it will always be with the same type.