is 2 1221167 - 1
has 367608 decimal digits
takes 0.037 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LDF02BDF8289EB81Bdouble-checked
PRP47AB982B80DBA95BPRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26848.809869.1176%26000000138488127960336.603718.5297%385.413574.8401%5.7224%
PrimeNet2560.007962.5000%5500800000.00042.3436%0.008363.3789%0.8789%
GPU722600.125865.0000%5000300000.00030.8291%0.126165.2902%0.2902%
Difference+8+48.6840+4.1176%+25995000+138488097960+336.6034+17.7006%+385.2874+9.5499%+5.4322%

Known prime factors (1 factor, 122.9 bits, 0.01006153% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1221167970488950599228254858431003332999811937122.8683973612743380832657852820307677
23 × 29 × 11731 × 3082139 × 4251847 × 38752062497
2022-06-044251847387520624971.294e+1194.062175.35

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-09-14T00:00:00Jocelyn Larouchev4_computers10001000---4.44667e-5--0.004%
2002-12-09T00:00:00ANONYMOUSv4_computers20000395000---0.002--0.893%
2013-10-07T16:37:00David Campeaui5-2500k120500034945000---0.135--5.659%
2016-08-01T17:20:27Bruno Victal5820K-factoring25000006250000012---0.257--6.688%
2016-08-27T10:52:53Bruno VictalManual testing25000006250000012---0.257--6.688%
2018-04-30T10:09:03Jocelyn Larouchelow 4M122116712211670012---0.347--6.944%
2018-10-12T16:45:40Jocelyn Larouchelow 4M122116713432837012---0.377--7.043%
2022-06-04T17:30:42Sid & AndyBarrel_Of_Monkeys2600000013848812796037122.868336.60.075673.218.530%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-11-10T00:00:00ANONYMOUSv4_computers21257--0.016--
2003-05-19T00:00:00ANONYMOUSv4_computers21258--0.031--
2016-02-23T16:28:24Mark RoseManual testing258260--0.094--
2009-02-20T15:20:00Sturle Sundeiago.ifi260261--0.126--
2012-09-13T01:16:00AxelssonManual testing261262--0.252--
2012-10-13T12:00:00dbaughManual testing262263--0.804--
2015-03-30T13:52:00omylistManual testing263264--1.608--
2015-04-06T10:49:00monstManual testing264265--3.060--
2015-10-01T08:53:25ramgeisManual testing265266--6.119--
2018-07-16T08:58:50ramgeisManual testing266267--12.24--
2018-07-16T08:58:50ramgeisManual testing267268--24.48--


ECM factoring results:
Total ECM effort:18.522 GHz-days
Estimated T-Level:25.658
DigitsB1CompleteFacMiss
201100014.8080.000%
25500001.62019.795%
302500000.13287.678%
3510000000.00999.129%


ECM Summary

B1B2factorcurvesGHz-days
50000500000028110.39
25000025000000448.134


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-08-03T00:00:00ANONYMOUSv4_computersDF02BDF8289EB81B0.037
2016-06-01T18:49:53MadPooManual testingDF02BDF8289EB81B0.037


PRP results:
dateuseridcompidcofactorsres64PRP
2022-06-10T16:14:47XZT7060Micro1
9704889505992282548584310033329998119
47AB982B80DBA95Bno


P-1 factor-bounds graph:
B1 = 26000000, B2 = 138488127960 (P-1 stage 2)
B1 = 26000000 (P-1 stage 1)
B1 = 1221167, B2 = 134328370 (P-1 stage 2)
B1 = 1221167, B2 = 122116700 (P-1 stage 2)
B1 = 2500000, B2 = 62500000 (P-1 stage 2)
B1 = 1205000, B2 = 34945000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 1221167 (P-1 stage 1)
B1 = 1205000 (P-1 stage 1)
B1 = 20000, B2 = 395000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
B1 = 1000 (P-1 stage 1)
102
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104
105
106
107
108
102
103
104
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109
1010
1011
1012
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
258
257
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260
270
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290
2100
2110
2120
2130
Last modified: 2022-06-10T16:14:47+00:00