is 2 95723 - 1
has 28816 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267310.415774.6269%10000000007054150603500012,386.999928.8122%12,697.415681.9374%7.3106%
PrimeNet2400.000057.5000%1000170000.00007.6118%0.000060.7350%3.2350%
GPU722440.000061.3636%1000140000.00003.5957%0.000062.7529%1.3893%
Difference+23+310.4156+13.2632%+999999000+70541506021000+12,386.9999+25.2164%+12,697.4156+19.1845%+5.9213%

Known prime factors (5 factors, 350.0 bits, 0.36563235% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
95723191447617.5471
1
-111.825e-133.222e-96.558e-9
9572365473804505211342.57434199620
22 × 5 × 7 × 13 × 19 × 23 × 43
2008-08-2623439.274e-67.762e-81.508e-7
95723569595446083131445.695297522772
22 × 37 × 2010289
2008-08-263720102899.149e-50.00040.0007
9572351356166555160824920199237894103133108.6622682540588738381837186425305
5 × 172 × 83 × 179 × 16855249 × 7413309957293
2022-08-161685524974133099572931.563e+121,301.52,430.7
957236230093717830646955488700055152689101891141135.516325423028834796598282998864178551085
5 × 1601 × 6301 × 9677 × 34961 × 21541747 × 885262277563
2022-08-16215417478852622775631.772e+12155.48290.27

26 Composite Factors:
exponentprime factorscomposite factordigitsbits*
9572312534763451108938871960.121
95723109047339366276989112063.242
957233729358088390473664217810732788.269
957237139744179480910115935072108263132105.816
957239831984018485874448497383497112356185738126.209
95723336248360916960394463624090076173610167222715146151.236
957231192732751997523867687445159458816870489745421747153.063
957232925223859810635179787931869276791866061939070347154.357
9572364373739952469316638877441172813209145684287137749
7
51168.783
9572356002533228916667326486019257743397238196004919172
41
52171.904
9572340790793813038073114208502000830251119384397191080
2631
54178.090
9572335486330103474531958433899372846961826758435929708
07143
55181.211
9572378092751031246999834958750825529490860527846890407
431297057
59195.637
9572319152553513121735109187081195504335206466166920191
6658906263
60196.931
9572367937514393198887198462947332334323008474222834348
2115105921
60198.758
9572336666989124266168214485391336357184622723282583699
338597627332561
65214.478
9572323234250398022400560146055652138952027966773739048
934620736344871503
68223.785
9572344481275359501945200382819164350459488981549320197
01386336111016614634841
73241.332
9572331995373062717183265448523857542943223050404392565
419860699577642774837241
74244.179
9572361254181867380165846203235469550238512233307697434
71936071352040976314265277727
79261.725
9572320948588009796069895694047806753393242384008050368
6216030512721728985533055541028652561
87286.753
9572318224418792254555336650567781535548997563617440595
83952688639715246791798530867670584433
88289.874
9572340105443287114281933209383704595168760746911892189
215000393569036849093346884163312446845767
92304.299
9572334890103045207578555357412500716362489365618681497
5168990382007564852549453339022930377944551
93307.420
9572311932220332251500922539371930462067030084514748956
68807562236784805119283856492023495613875490933959
3
101332.448
9572322843877859485530971173951379711713467085900951435
11062013675457405856715364738284221647896211128337
061071
106349.994
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2017-01-02T00:40:55kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 191447
skipped known factor: 6547380450521
skipped known factor: 56959544608313
--0.656--11.686%
2022-08-16T18:17:50George WoltmanSkylakeX10000000007054150603500074244.17912,3870.00024,77428.812%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-04-22T20:15:23nordisweet1640000000200000000027--0.533
2021-04-28T20:04:37nordisweet1640000000200000000065--0.533


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-08-26T20:11:00ANONYMOUSManual testing??45.695144.25222e-50.0008.78417e-5
2008-08-26T20:11:00ANONYMOUSManual testing??42.574133.15313e-60.0006.51369e-6


ECM factoring results:
Total ECM effort:13.427 GHz-days
Estimated T-Level:30.814
DigitsB1CompleteFacMiss
201100085.4910.000%
255000013.5260.000%
302500001.63719.465%
3510000000.16384.981%
4030000000.01498.630%
45110000000.00199.899%


ECM Summary

B1B2factorcurvesGHz-days
110001100000300.015
5000050000002740.636
250000250000005856.788
10000001000000001295.987


Lucas-Lehmer results:
No L-L results for M95723


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T20:49:20Oliver KruseDoppelherz
191447
6547380450521
56959544608313
DE8B0F426B0410__no
2017-09-21T21:30:25Oliver KruseManual testing
191447
6547380450521
56959544608313
DE8B0F426B0410__no
2017-09-22T10:00:15Oliver KruseManual testing
191447
6547380450521
56959544608313
DE8B0F426B0410__no
2017-11-06T12:36:35kkmrkkblmbrbkc4.xlarge
191447
6547380450521
56959544608313
DE8B0F426B0410__no
2020-04-17T15:23:38Oliver KruseAddPrpType5
191447
6547380450521
56959544608313
D0EDB78C3323F5__no
2022-05-12T18:19:48Jorge CoveiroManual testing
191447
D0EDB78C3323F543no
2022-08-16T19:54:20George WoltmanManual testing
191447
6547380450521
56959544608313
513561665551608249201992378941031
62300937178306469554887000551526891018911
D0EDB78C3323F543no
2022-08-16T20:22:38LordJuliusWhiteBox
191447
6547380450521
56959544608313
513561665551608249201992378941031
62300937178306469554887000551526891018911
D0EDB78C3323F543no


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 70541506035000 (P-1 stage 2)
B1 = 1000000000 (P-1 stage 1)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-08-16T20:22:38+00:00