is 2 2129861 - 1
has 641153 decimal digits
takes 0.140 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
Actual26713.951167.1642%500000150000000.12305.1619%14.074168.8591%1.6950%
PrimeNet2580.018062.0690%90001600000.00162.6849%0.019763.0874%1.0184%
GPU722620.288564.5161%100001500000.00171.4861%0.290165.0435%0.5273%
Difference+5+13.6627+2.6481%+490000+14850000+0.1213+3.6758%+13.7840+3.8157%+3.8157%

Known prime factors (2 factors, 102.6 bits, 0.00481868% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
212986170200218571032.7091648
24 × 103
-161033.645e-101.977e-63.104e-6
212986111186939352575552836072269.922262621348355023
7 × 17 × 6133 × 359840549
2022-05-136133359840549106.151.86973.4910

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
2129861785325587680138101530697379819931102.631
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-18T00:51:14alpertronManual testing5000001500000012-
skipped known factor: 7020021857
--0.123--5.162%


Trial Factoring results:
No TF results for M2129861


ECM factoring results:

Old Calculation Method

Total ECM effort:2.578 GHz-days
Estimated T-Level:1.400
DigitsB1CurvesCompleteFacMiss
201100028 / 1000.28075.472%
255000028 / 2800.10090.468%

New Calculation Method

Total ECM effort:2.578 GHz-days
Estimated T-Level:1.400
DigitsB1CompleteFacMiss
20110001.12232.569%
25500000.10490.117%
302500000.00799.342%


ECM Summary

B1B2factorcurvesGHz-days
50000490000010.085
500005000000131.108
50000677177170.683
50000715000070.702


Lucas-Lehmer results:
No L-L results for M2129861


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-08T14:16:52Oliver KruseGTX-2
7020021857
63CD982EDEA4A5__no
2017-11-18T00:29:19kkmrkkblmbrbkc4.xlarge
7020021857
63CD982EDEA4A5__no
2022-05-13T23:58:26aperson12012_VP113
7020021857
1118693935257555283607
9858FBD5B48087__no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
267
230
240
250
260
270
280
290
2100
Last modified: 2022-07-15T20:35:15+00:00