is 2 1122623 - 1
has 337944 decimal digits
takes 0.033 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
Actual26726.468368.6567 %300000100000000.03564.1256 %26.503969.9498 %
Target2600.136865.0000 %45001100000.00040.6871 %0.137365.2405 %
Difference+7+26.3315+3.6567 %+295500+9890000+0.0352+3.4385%+26.3666+4.7093 %

Known prime factors (3 factors, 151.4 bits, 0.01348823% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
11226232245247721.0981
1
-112.489e-134.298e-88.746e-8
11226233485386251494525831858.274155234047917
3 × 13 × 233 × 3617 × 4723
2014-12-27361747230.04350.00020.0003
112262348871103130380879491512272.0492176648043483025
33 × 52 × 7 × 773 × 4721 × 126233
2014-12-2747211262331,568.40.00050.0006

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2014-12-27alpertronManual testing3000001000000012240130.3240.0368.216%


Trial Factoring results:
5758596061626364656667
No TF results for M1122623


ECM factoring results:
Total ECM effort:17.685 GHz-days
Estimated T-Level:25.658
DigitsB1CompleteFacMiss
201100014.8080.000%
25500001.62019.795%
302500000.13287.678%
3510000000.00999.129%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002819.92
25000025000000447.766


Lucas-Lehmer results:
No L-L results for M1122623


PRP results:
dateuseridcompidcofactorsres64
2017-09-29Oliver KruseGTX-2
2245247
348538625149452583
4887110313038087949151
C3BC74D7714B360B
2017-10-05Oliver KruseManual testing
2245247
348538625149452583
4887110313038087949151
C3BC74D7714B360B
2017-10-16Oliver KruseThreadripper-PC
2245247
348538625149452583
4887110313038087949151
C3BC74D7714B360B
2018-01-02ATHec2-1xh
2245247
348538625149452583
4887110313038087949151
C3BC74D7714B360B


CERT results:
No CERT results for M1122623


P-1 factor-bounds graph:
B1 = 300000, B2 = 10000000 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
TF factor-bounds graph:
this exponent TF target: 60
TF double-checked to: 67
ECM T-Level=25.66 ~= 69-bit
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280
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Last modified: 2024-03-13T02:15:48+00:00