is 2 2127761 - 1
has 640520 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
Actual26713.964967.1642%500000150000000.12305.1613%14.087968.8589%1.6948%
PrimeNet2580.018062.0690%90001600000.00162.6844%0.019763.0872%1.0182%
GPU722620.288764.5161%100001400000.00161.4552%0.290465.0325%0.5164%
Difference+5+13.6761+2.6481%+490000+14860000+0.1214+3.7061%+13.7975+3.8265%+3.8265%

Known prime factors (2 factors, 132.0 bits, 0.00620369% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2127761764933318079907671756.08617975076103
19 × 367 × 431 × 5981
-43159810.00506.992e-58.363e-5
2127761711639976511891392809672375.91416722742274905203
34 × 71 × 571783 × 5085491
2021-12-1957178350854915,093.10.07800.1109

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
2127761544357128511548641959462184077535483168940132.000
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-15T15:11:33alpertronManual testing5000001500000012-
skipped known factor: 76493331807990767
--0.123--5.161%


Trial Factoring results:
No TF results for M2127761


ECM factoring results:

Old Calculation Method

Total ECM effort:1.705 GHz-days
Estimated T-Level:1.000
DigitsB1CurvesCompleteFacMiss
201100020 / 1000.20081.791%
255000020 / 2800.07193.094%

New Calculation Method

Total ECM effort:1.705 GHz-days
Estimated T-Level:1.000
DigitsB1CompleteFacMiss
20110000.64552.458%
25500000.05894.336%
302500000.00499.642%


ECM Summary

B1B2factorcurvesGHz-days
500005000000131.108
50000500000070.597


Lucas-Lehmer results:
No L-L results for M2127761


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-08T13:51:59Oliver KruseGTX-2
76493331807990767
9EEC650C20B41D__no
2017-11-17T22:41:21kkmrkkblmbrbkc4.xlarge
76493331807990767
9EEC650C20B41D__no
2021-12-19T11:46:56MarkSdesktop-i7
76493331807990767
71163997651189139280967
462F207C585C60C1no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
101
102
103
104
105
106
101
102
103
104
105
106
107
108
TF factor-bounds graph:
267
250
260
270
280
290
2100
Last modified: 2022-05-10T02:45:08+00:00