is 2 277603 - 1
has 83567 decimal digits
takes 0.002 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L4F6B1EF1A85A3949double-checked
PRP3EBEB96634119F5FPRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267107.037571.6418%13900000032179281033901,738.447123.8768%1,845.484578.4128%6.7710%
PrimeNet2400.000052.5000%2800800000.000114.8847%0.000159.5702%7.0702%
GPU722440.000056.8182%50001300000.000110.8253%0.000161.4927%4.6745%
Difference+23+107.0374+14.8236%+138995000+3217927973390+1,738.4470+13.0515%+1,845.4844+16.9201%+2.0965%

Known prime factors (1 factor, 125.8 bits, 0.04530761% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2776037280048400380727277827600688508448070338125.775131123374033795154912367674133717
3 × 7 × 101 × 139 × 389 × 62873 × 43422017 × 418794403507
2022-06-19434220174187944035076.485e+11226.49422.25

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-04-15T00:00:00ANONYMOUSv4_computers1000004000000---0.003--2.281%
2001-06-30T00:00:00ANONYMOUSv4_computers10000010000000---0.006--2.755%
2002-06-09T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.582%
2002-08-10T00:00:00ANONYMOUSv4_computers655366553600---0.004--2.271%
2003-03-16T00:00:00ANONYMOUSv4_computers13107213107200---0.008--3.088%
2003-11-28T00:00:00ANONYMOUSv4_computers26214426214400---0.017--4.022%
2006-01-15T00:00:00Jocelyn Larouchev4_computers277603277603---0.003--1.124%
2011-06-26T19:18:00Jocelyn LaroucheManual testing10501161050116---0.010--2.061%
2011-07-24T13:12:00Jocelyn LaroucheManual testing17501941750194---0.017--2.511%
2012-02-26T15:18:00Jocelyn LaroucheManual testing21877422187742---0.022--2.723%
2013-01-01T22:06:00alpertronManual testing1000000002000000000---2.017--12.624%
2022-06-19T20:36:44Sid & AndyBarrel_Of_Monkeys139000000321792810339038125.7751,7380.0043,47723.877%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-24T00:00:00ANONYMOUSv4_computers252253--0.002--
2000-04-27T00:00:00ANONYMOUSv4_computers21254--0.009--
2022-03-07T06:11:26LordJuliusManual testing254255--0.009--
2001-02-25T00:00:00ANONYMOUSv4_computers21256--0.035--
2002-03-24T00:00:00ANONYMOUSv4_computers21257--0.069--
2004-02-14T00:00:00ANONYMOUSv4_computers21258--0.138--
2009-01-01T05:12:00Sturle Sundedittersdorf.ifi258259--0.138--
2009-01-23T03:20:00Sturle Sundefoster.ifi259260--0.277--
2013-06-30T08:50:00lycornasteroid260261--0.553--
2015-08-13T13:31:00NRManual testing261262--1.107--
2016-02-04T14:27:50Gordon SpenceManual testing262263--3.536--
2016-02-04T14:27:50Gordon SpenceManual testing263264--7.072--
2018-03-24T13:23:09Gordon SpenceManual testing264265--13.46--
2020-01-05T20:52:24Gordon SpenceManual testing265266--26.92--
2020-01-05T16:24:13YxinityManual testing265266--26.92--


ECM factoring results:
Total ECM effort:23.412 GHz-days
Estimated T-Level:29.860
DigitsB1CompleteFacMiss
201100064.0140.000%
25500009.2360.010%
302500000.97237.833%
3510000000.08092.320%
4030000000.00599.467%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002842.075
2500002500000058421.34


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-11-24T00:00:00ANONYMOUSv4_computers4F6B1EF1A85A39490.002


PRP results:
dateuseridcompidcofactorsres64PRP
2022-06-20T06:16:40some-studentsGIMPS_IN_SHANGHAI
72800484003807272778276006885084480703
3EBEB96634119F5Fno


P-1 factor-bounds graph:
B1 = 139000000, B2 = 3217928103390 (P-1 stage 2)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 139000000 (P-1 stage 1)
B1 = 100000000 (P-1 stage 1)
B1 = 2187742 (P-1 stage 1)
B1 = 1750194 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 1050116 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 100000, B2 = 4000000 (P-1 stage 2)
B1 = 277603 (P-1 stage 1)
B1 = 262144 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
103
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105
106
107
108
109
103
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105
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109
1010
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1013
TF factor-bounds graph:
267
266
265
264
263
262
261
260
259
258
257
256
255
254
253
250
260
270
280
290
2100
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Last modified: 2022-06-20T06:16:40+00:00