is 2 5000311 - 1
has 1505244 decimal digits
takes 0.693 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26811.920266.1765 %1500000304580913033.637512.0413 %45.557770.2492 %
Target2651.459064.6154 %3400035000000.04482.4160 %1.503865.4703 %
Difference+3+10.4612+1.5611 %+1466000+3042309130+33.5927+9.6252%+44.0539+4.7790 %

Known prime factors (2 factors, 96.3 bits, 0.00192647% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
500031150003111825.5765
5
-158.949e-132.448e-74.090e-7
500031119913201913247303543912270.754199119633891245
5 × 89 × 2711 × 165053431
2023-04-11271116505343159.6391.80793.3757

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2017-07-01alpertronManual testing10000200000
skipped known factor: 50003111
---1.204%
2023-04-11Kevin_9611Factor_133000017259528022270.7542.2259.415%
2023-05-11This -Anonymous-Manual testing5000010000006
skipped known factor: 50003111
--0.0202.863%
2023-10-20Lisander ViaeneDesktop15000003045809130
skipped known factor: 50003111
skipped known factor: 1991320191324730354391
--43.0114.883%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2022-12-08LordJuliusManual testing263268


ECM factoring results:
Total ECM effort:0.698 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.698


Lucas-Lehmer results:
No L-L results for M5000311


PRP results:
dateuseridcompidcofactorsres64
2017-11-21kkmrkkblmbrbkc4.xlarge
50003111
E4381FD27C40E60A
2018-04-25Oliver KruseGTX-1
50003111
E4381FD27C40E60A
2023-04-17xyuzyzvj20a
50003111
1991320191324730354391
E4381FD27C40E60A


CERT results:
dateuseridcompid
2023-04-17curtiscot014007


P-1 factor-bounds graph:
B1 = 1500000, B2 = 3045809130 (P-1 stage 2)
B1 = 330000, B2 = 172595280 (P-1 stage 2)
B1 = 1500000 (P-1 stage 1)
B1 = 330000 (P-1 stage 1)
B1 = 50000, B2 = 1000000 (P-1 stage 2)
B1 = 50000 (P-1 stage 1)
B1 = 10000, B2 = 200000 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
268
this exponent TF target: 65
TF double-checked to: 67
ECM T-Level=0.58 ~= -15-bit
250
260
270
280
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Last modified: 2024-03-13T02:15:48+00:00