is 2 2140207 - 1
has 644267 decimal digits
takes 0.141 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
Actual26713.883767.1642%500000150000000.12305.1649%14.006768.8601%1.6960%
PrimeNet2580.017962.0690%90001700000.00172.7314%0.019663.1050%1.0360%
GPU722620.287164.5161%100001500000.00171.4876%0.288765.0440%0.5278%
Difference+5+13.5966+2.6481%+490000+14850000+0.1213+3.6774%+13.7179+3.8162%+3.8162%

Known prime factors (2 factors, 120.4 bits, 0.00562694% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2140207556214116816011445.66112994400
25 × 52 × 37 × 439
-374393.593e-65.616e-67.179e-6
2140207321569330587893310773432374.7687512575432841153
32 × 22639 × 36871354903
2022-05-2222639368713549031,870.0191.52357.70

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
2140207178861401208060627607183464262106614337120.428
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-16T13:45:29alpertronManual testing5000001500000012-
skipped known factor: 55621411681601
--0.123--5.165%


Trial Factoring results:
No TF results for M2140207


ECM factoring results:

Old Calculation Method

Total ECM effort:2.105 GHz-days
Estimated T-Level:1.150
DigitsB1CurvesCompleteFacMiss
201100023 / 1000.23079.361%
255000023 / 2800.08292.100%

New Calculation Method

Total ECM effort:2.105 GHz-days
Estimated T-Level:1.150
DigitsB1CompleteFacMiss
20110000.91739.985%
25500000.08591.831%
302500000.00599.462%


ECM Summary

B1B2factorcurvesGHz-days
500005000000131.109
50000700000070.695
50000715000030.301


Lucas-Lehmer results:
No L-L results for M2140207


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-08T17:39:48Oliver KruseGTX-2
55621411681601
1CD894787C1E3C__no
2017-11-18T08:18:53kkmrkkblmbrbkc4.xlarge
55621411681601
1CD894787C1E3C__no
2022-05-28T04:35:05XZTM900Tiny4
55621411681601
32156933058789331077343
6201F9D5144E9357no


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
1010
1011
TF factor-bounds graph:
267
240
250
260
270
280
290
2100
Last modified: 2022-06-16T20:24:35+00:00