is 2 17586277 - 1
has 5293997 decimal digits
takes 10.698 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LC0886E4EAA59F23Bdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual274217.548466.2162%636000317580002.05674.0196%219.605067.5742%1.3580%
PrimeNet2650.414961.5385%8000024000000.18214.5517%0.596963.2891%1.7507%
GPU722696.788663.7681%12000034000000.26353.3546%7.052164.9836%1.2154%
Difference+5+210.7597+2.4481%+516000+28358000+1.7932+0.6650%+212.5529+2.5906%+0.1425%

Known prime factors (1 factor, 137.3 bits, 0.00078085% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1758627721798122219957082650519882081483309637187342137.3236197480632187552445159337044868368
24 × 32 × 7 × 499 × 1097 × 6271 × 28289 × 69859 × 70117 × 12925501
2022-02-0470117129255017.433e+90.67971.1602

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-12-31T00:00:00WillametteMathv4_computers2000002250000---0.275--1.883%
2022-02-04T14:09:01Architects CubedColab_LM6360003175800042137.3232.05721.404.1134.020%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-02-23T00:00:00ANONYMOUSv4_computers21253--6.82307e-5--
2001-02-18T00:00:00Net_Forcev4_computers21258--0.002--
2001-03-25T00:00:00Net_Forcev4_computers21259--0.004--
2001-09-16T00:00:00ANONYMOUSv4_computers21265--0.415--
2016-03-19T13:00:42Mark RoseManual testing265266--0.425--
2014-08-30T01:08:00NesowaManual testing266267--0.850--
2018-02-18T23:18:59ramgeisManual testing267268--1.700--
2018-02-18T23:18:59ramgeisManual testing268269--3.399--
2020-04-18T19:44:18lycornManual testing269270--6.799--
2021-09-10T14:55:26SRBaseManual testing270271--13.60--
2021-09-20T10:41:07-Anonymous-Manual testing271272--27.19--
2021-11-15T07:07:01RichD0GPU72_TF272273--54.39--
2022-01-11T17:41:20TheJudgerManual testing273274--108.8--


ECM factoring results:
Total ECM effort:0.925 GHz-days
Estimated T-Level:0.192
DigitsB1CompleteFacMiss
20110000.03896.227%
25500000.00499.645%


ECM Summary

B1B2factorcurvesGHz-days
50000500000010.925


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2003-02-09T00:00:00WillametteMathv4_computersC0886E4EAA59F23B10.70
2006-11-09T00:00:00Bobbi and the Straysv4_computersC0886E4EAA59F23B10.70


PRP results:
dateuseridcompidcofactorsres64PRP
2022-08-21T07:10:28Naegi Makoto1700
217981222199570826505198820814833096371873
FADD813C3D8E6074no


P-1 factor-bounds graph:
B1 = 636000, B2 = 31758000 (P-1 stage 2)
B1 = 636000 (P-1 stage 1)
B1 = 200000, B2 = 2250000 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
103
104
105
106
103
104
105
106
107
108
TF factor-bounds graph:
274
273
272
271
270
269
268
267
266
265
259
258
253
250
260
270
280
290
2100
2110
2120
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Last modified: 2022-08-21T07:10:28+00:00