is 2 2143381 - 1
has 645222 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
Actual26713.863167.1642%500000150000000.12305.1659%13.986168.8604%1.6963%
PrimeNet2580.017962.0690%90001700000.00172.7322%0.019663.1053%1.0363%
GPU722620.286664.5161%100001500000.00171.4880%0.288365.0441%0.5280%
Difference+5+13.5765+2.6481%+490000+14850000+0.1213+3.6778%+13.6978+3.8163%+3.8163%

Known prime factors (3 factors, 175.9 bits, 0.00820464% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2143381304360103928.18171
71
-1711.694e-114.589e-77.294e-7
214338170333577979125909976312272.5751640715719210115
3 × 5 × 53 × 157 × 56963 × 230767
2016-03-1256963230767580.930.00630.0111
2143381405122859252506978302812375.1019450556369877940
22 × 3 × 5 × 277 × 568625533687
2022-05-262775686255336873,755.52,953.65,516.5

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
2143381214067350380852938103584391599331100.756
21433811233032351697475269244620167894332103.282
214338128493740212362650219313470827767206491106431145147.675
214338186723577058899380941032205704267222276554219535584
033
53175.857
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-12T11:17:53alpertronManual testing50000015000000122272.5750.0480.2820.0955.166%


Trial Factoring results:
No TF results for M2143381


ECM factoring results:

Old Calculation Method

Total ECM effort:2.065 GHz-days
Estimated T-Level:1.150
DigitsB1CurvesCompleteFacMiss
201100023 / 1000.23079.361%
255000023 / 2800.08292.100%

New Calculation Method

Total ECM effort:2.065 GHz-days
Estimated T-Level:1.150
DigitsB1CompleteFacMiss
20110000.91739.985%
25500000.08491.913%
302500000.00599.468%


ECM Summary

B1B2factorcurvesGHz-days
500005000000131.109
50000646374670.669
50000650000030.287


Lucas-Lehmer results:
No L-L results for M2143381


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-08T18:44:16Oliver KruseGTX-3
304360103
7033357797912590997631
22ACDF81E6B048__no
2017-11-18T10:06:00kkmrkkblmbrbkc4.xlarge
304360103
7033357797912590997631
22ACDF81E6B048__no
2022-05-31T11:49:28ATHec2-PRPCF
304360103
7033357797912590997631
40512285925250697830281
E03AC6E2E5AD0CDCno


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
1012
TF factor-bounds graph:
267
220
230
240
250
260
270
280
290
2100
Last modified: 2022-06-20T16:12:30+00:00