is 2 357667 - 1
has 107669 decimal digits
takes 0.003 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L737EAF0974DFFE37double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26783.077071.6418%131072131072000.01183.2033%83.088872.5502%0.9084%
PrimeNet2400.000052.5000%36001100000.000116.6620%0.000160.4145%7.9145%
GPU722440.000056.8182%65001800000.000212.3180%0.000262.1373%5.3191%
Difference+23+83.0770+14.8236%+124572+12927200+0.0116-9.1147%+83.0886+10.4129%+10.4129%

Known prime factors (1 factor, 77.1 bits, 0.02155957% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3576671632525844731165379841292477.111228218684520960192
26 × 3 × 31 × 3530369 × 10860959
2011-01-18353036910860959128,0330.05520.1010

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-02-10T00:00:00willmorev4_computers10000137500---0.000--0.432%
2002-06-09T00:00:00ANONYMOUSv4_computers327683276800---0.003--1.656%
2002-08-17T00:00:00ANONYMOUSv4_computers655366553600---0.006--2.366%
2003-04-03T00:00:00ANONYMOUSv4_computers13107213107200---0.012--3.203%
2006-01-15T00:00:00Jocelyn Larouchev4_computers357667357667---0.005--1.330%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-24T00:00:00ANONYMOUSv4_computers252253--0.002--
2000-04-19T00:00:00ANONYMOUSv4_computers21254--0.007--
2022-03-07T06:37:06LordJuliusManual testing254255--0.007--
2001-03-11T00:00:00ANONYMOUSv4_computers21256--0.027--
2002-02-17T00:00:00ANONYMOUSv4_computers21257--0.054--
2004-01-18T00:00:00ANONYMOUSv4_computers21258--0.107--
2008-12-29T17:13:00Sturle Sundeiago.ifi258259--0.107--
2009-01-28T14:55:00Sturle Sundeginglo.ifi259260--0.215--


ECM factoring results:

Old Calculation Method

Total ECM effort:10.381 GHz-days
Estimated T-Level:26.125
DigitsB1CurvesCompleteFacMiss
2011000415 / 1004.1501.544%
2550000415 / 2801.48222.655%
30250000144 / 6400.22579.838%

New Calculation Method

Total ECM effort:10.381 GHz-days
Estimated T-Level:26.125
DigitsB1CompleteFacMiss
201100023.5140.000%
25500002.9935.016%
302500000.28575.218%
3510000000.02297.842%
4030000000.00199.861%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002712.839
250000250000001447.542


Lucas-Lehmer results:
No L-L results for M357667


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-23T02:07:46Oliver KruseOllaptop
163252584473116537984129
60532042A6B88B__no
2017-09-23T17:12:05Oliver KruseManual testing
163252584473116537984129
60532042A6B88B__no
2017-10-13T08:26:23kkmrkkblmbrbkc4.xlarge60532042A6B88B__no
2020-04-18T15:17:11Oliver KruseAddPrpType5
163252584473116537984129
AFE3E1868C2F15__no


P-1 factor-bounds graph:
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 357667 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 10000, B2 = 137500 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
TF factor-bounds graph:
267
260
259
258
257
256
255
254
253
250
260
270
280
290
2100
Last modified: 2022-03-07T06:37:06+00:00