is 2 40927 - 1
has 12321 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
-unknown- L-L tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actualunknown10000000020000000000.210746.8465%0.210746.8465%-13.1535%
PrimeNet2400.000060.0000%500100000.00004.4390%0.000061.7756%1.7756%
GPU722440.000163.6364%500100000.00001.9255%0.000164.3365%0.7002%
Difference-44-0.0001-63.6364%+99999500+1999990000+0.2107+44.9210%+0.2106-17.4900%-17.4900%

Known prime factors (3 factors, 265.6 bits, 0.64899090% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
409278026738299111239.5469806165
5 × 23 × 71 × 1201
-7112012.767e-61.372e-71.496e-7
40927147580100292372154238095894408731100.21918029674822534287174493109
8876341 × 2031205743733176449
2018-11-11887634120312057437331764493.697e+12114,554,362213,955,646
409277651809929934125197075948287276106286338125.847934811973750106921723550258664953
59 × 15844270741527235961416106079067
2018-11-1159158442707415272359614161060790673.379e+128.936e+201.669e+21

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
40927118458684320327847901622041745116279718625743139.765
409276141907582211244835872319070090093102743924069519350165.393
4092711292548768778473430322819469188436139561096790601
8510628536309141081
69226.066
4092790642333696921648494491715044333180950941492634921
581833467299106395765096673791
80265.613
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-09-13T09:08:49kkmrkkblmbrbkManual testing100000000200000000012---0.211--39.126%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2018-11-11T20:26:09Yaroslav BerezhkoManual testing100000001000000033P+131100.2190.001
2021-05-01T14:04:00ATHcolab-Pp11000000001000000000027--0.705


Trial Factoring results:
Exponent "40927" not found


ECM factoring results:
Total ECM effort:17.069 GHz-days
Estimated T-Level:33.120
DigitsB1CurvesCompleteFacMiss
20110001852 / 10018.5200.000%
25500001852 / 2806.6140.133%
302500001569 / 6402.4528.599%
351000000986 / 15800.62453.566%

ECM Summary

B1B2factorcurvesGHz-days
5000050000002830.211
250000250000005832.171
100000010000000095514.23
1000000100000000310.462


Lucas-Lehmer results:
Exponent "40927" not found


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T19:52:13Oliver KruseDoppelherz
802673829911
C594F16010A34E__no
2017-09-21T20:27:41Oliver KruseManual testing
802673829911
C594F16010A34E__no
2017-09-21T22:13:01Oliver KruseManual testing
802673829911
C594F16010A34E__no
2017-11-06T01:44:34kkmrkkblmbrbkc4.xlarge
802673829911
C594F16010A34E__no
2018-11-11T20:23:55Yaroslav BerezhkoManual testing
802673829911
1475801002923721542380958944087
no
2018-11-12T03:45:16Yaroslav BerezhkoManual testing
802673829911
1475801002923721542380958944087
76518099299341251970759482872761062863
no
2018-11-12T10:44:11ANONYMOUSdory
802673829911
1475801002923721542380958944087
76518099299341251970759482872761062863
D8AC481329FFC5__no
2018-11-13T16:41:37Oliver KruseGTX-3
802673829911
1475801002923721542380958944087
D8AC481329FFC5__no
2019-04-09T05:41:42kkmrkkblmbrbkc5.large
802673829911
1475801002923721542380958944087
76518099299341251970759482872761062863
90A164AFAE527BFDno


P-1 factor-bounds graph:
B1 = 100000000, B2 = 2000000000 (stage 2)
B1 = 100000000 (stage 1)
100
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TF factor-bounds graph:
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Last modified: 2021-05-01T14:04:00+00:00