is 2 658613 - 1
has 198263 decimal digits
takes 0.010 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LD60D7F7895F7F9__double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26745.115970.1493%1000000300000000.05685.5189%45.172771.7967%1.6474%
PrimeNet2400.000050.0000%60002400000.000420.9841%0.000460.4920%10.4920%
GPU722440.000054.5455%110004000000.000715.9829%0.000761.8104%7.2649%
Difference+23+45.1159+15.6038%+989000+29600000+0.0561-10.4640%+45.1720+9.9863%+9.9863%

Known prime factors (1 factor, 60.0 bits, 0.00910752% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
65861311396651347911320711959.983865200910695
3 × 5 × 11 × 5243641883
2007-08-261152436418830.16246.294311.756

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-01-02T00:00:00ANONYMOUSv4_computers2000200000---0.000--0.192%
2002-01-22T00:00:00ANONYMOUSv4_computers4096409600---0.001--0.414%
2002-03-10T00:00:00ANONYMOUSv4_computers8192819200---0.001--0.751%
2002-05-05T00:00:00ANONYMOUSv4_computers163841638400---0.002--1.225%
2002-07-14T00:00:00ANONYMOUSv4_computers327683276800---0.005--1.846%
2002-10-12T00:00:00ANONYMOUSv4_computers655366553600---0.009--2.606%
2003-06-06T00:00:00ANONYMOUSv4_computers13107213107200---0.018--3.494%
unknown100000030000000---0.057--5.519%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-01-25T00:00:00ANONYMOUSv4_computers253254--0.002--
2022-03-07T09:02:25LordJuliusManual testing254255--0.004--
2001-04-15T00:00:00ANONYMOUSv4_computers21256--0.015--
2001-12-22T00:00:00ANONYMOUSv4_computers21257--0.029--
2003-10-23T00:00:00ANONYMOUSv4_computers21258--0.058--


ECM factoring results:

Old Calculation Method

Total ECM effort:8.551 GHz-days
Estimated T-Level:25.344
DigitsB1CurvesCompleteFacMiss
2011000325 / 1003.2503.815%
2550000325 / 2801.16131.261%
3025000044 / 6400.06993.351%

New Calculation Method

Total ECM effort:8.551 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100014.8080.000%
25500001.62019.795%
302500000.13287.678%
3510000000.00999.129%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002814.796
25000025000000443.755


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-07-27T00:00:00ANONYMOUSv4_computersD60D7F7895F7F9__0.010


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-27T14:11:29Oliver KruseGTX-3
1139665134791132071
A0737F427EAC44__no
2017-09-28T09:44:47Oliver KruseManual testing
1139665134791132071
A0737F427EAC44__no
2017-11-09T03:57:40kkmrkkblmbrbkc4.large
1139665134791132071
A0737F427EAC44__no
2020-04-19T22:48:11Oliver KruseAddPrpType5
1139665134791132071
C7068B1EAABAC3__no


P-1 factor-bounds graph:
B1 = 1000000, B2 = 30000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 8192, B2 = 819200 (P-1 stage 2)
B1 = 32768 (P-1 stage 1)
B1 = 4096, B2 = 409600 (P-1 stage 2)
B1 = 16384 (P-1 stage 1)
B1 = 2000, B2 = 200000 (P-1 stage 2)
B1 = 8192 (P-1 stage 1)
B1 = 4096 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
258
257
256
255
254
250
260
270
280
290
2100
Last modified: 2022-03-07T09:02:25+00:00