is 2 40127 - 1
has 12080 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actualunknown100000000048817224456028.510362.3140%28.510362.3140%62.3140%
PrimeNet2400.000060.0000%500100000.00004.4170%0.000061.7668%1.7668%
GPU722440.000163.6364%500100000.00001.9145%0.000164.3325%0.6962%
Difference-44-0.0001-63.6364%+999999500+488172234560+28.5103+60.3995%+28.5102-2.0185%-2.0185%

Known prime factors (3 factors, 207.4 bits, 0.51678329% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
401277784639722.89297
97
-1971.422e-116.449e-91.036e-8
40127122436665668142195272063.409152561449483069
11 × 31 × 112951 × 3960959
2009-04-22112951396095967.6160.00030.0004
40127278823592715724699969678315528654064937121.06934742641203644017739885652494412
22 × 32 × 11 × 733 × 79798740823 × 1499918398028483
2021-09-287979874082314999183980284834.616e+1284,669157,993

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
40127953125242590180790844457532686.301
401272170541013974946412647256632518666051129071144143.961
4012734138231001725432652565696162849087818080216010695
053023
56184.477
4012726575380444704087031903636841146536014305215468528
1126869913697
63207.370
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-09-13T09:08:48kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 7784639
skipped known factor: 12243666566814219527
--0.211--39.089%
2021-12-17T11:33:00Lisander ViaeneDesktop10000000001000000000-
skipped known factor: 7784639
skipped known factor: 12243666566814219527
--1.035--34.638%
2021-12-19T18:46:42Lisander ViaeneDesktop11000000001100000000-
skipped known factor: 7784639
skipped known factor: 12243666566814219527
--1.139--34.863%
2021-12-21T16:11:06Lisander ViaeneManual testing12500000001250000000-
skipped known factor: 7784639
skipped known factor: 12243666566814219527
--1.294--35.162%
2021-12-22T15:21:45Lisander ViaeneDesktop1000000000488172244560-
skipped known factor: 7784639
skipped known factor: 12243666566814219527
--28.51--54.398%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-05-08T04:24:04ATHcolab-Pp11000000001000000000027--0.705


Trial Factoring results:
No TF results for M40127


ECM factoring results:

Old Calculation Method

Total ECM effort:25.621 GHz-days
Estimated T-Level:34.984
DigitsB1CurvesCompleteFacMiss
20110002410 / 10024.1000.000%
25500002410 / 2808.6070.018%
302500002144 / 6403.3503.499%
3510000001561 / 15660.99736.894%

New Calculation Method

Total ECM effort:25.621 GHz-days
Estimated T-Level:34.984
DigitsB1CompleteFacMiss
2011000323.3970.000%
255000061.1910.000%
302500009.0130.012%
3510000001.08233.908%
4030000000.10889.803%
45110000000.00999.103%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002660.198
250000250000005832.171
10000001000000001,37320.45
10000001000000001882.800


Lucas-Lehmer results:
No L-L results for M40127


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T19:51:32Oliver KruseOllaptop
7784639
12243666566814219527
70B0ED96783CFE__no
2017-09-21T21:29:15Oliver KruseManual testing
7784639
12243666566814219527
70B0ED96783CFE__no
2017-10-13T05:54:07kkmrkkblmbrbkManual testing
7784639
12243666566814219527
70B0ED96783CFE__no
2020-04-17T13:49:01Oliver KruseManual testing
7784639
12243666566814219527
7A0CD72C8F4997__no
2021-09-28T15:51:40SRJ2877LTOS
7784639
12243666566814219527
2788235927157246999696783155286540649
7A0CD72C8F4997EDno


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 488172244560 (P-1 stage 2)
B1 = 1250000000 (P-1 stage 1)
B1 = 1100000000 (P-1 stage 1)
B1 = 1000000000 (P-1 stage 1)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
109
1010
1011
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
TF factor-bounds graph:
220
230
240
250
260
270
280
290
2100
2110
2120
2130
Last modified: 2021-12-22T15:21:45+00:00