is 2 2533031 - 1
has 762519 decimal digits
takes 0.176 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
Actual26711.730667.1642 %2000000600000000.51907.6575 %12.249569.6786 %
Target2630.630165.0794 %110009000000.00601.4353 %0.636165.5806 %
Difference+4+11.1005+2.0848 %+1989000+59100000+0.5130+6.2221%+11.6135+4.0980 %

Known prime factors (3 factors, 161.5 bits, 0.00637643% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2533031141849737927.08028
22 × 7
-477.102e-124.187e-78.187e-7
25330311315555622182037271856.86825968012673
73 × 8539 × 41659
2015-05-068539416590.00740.00100.0017
25330312241488067701566630473372477.56944245176385554828
22 × 32 × 73 × 1543513 × 10907627
2018-12-1115435131090762716,2890.20650.3159

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2018-12-11alpertronlaptop22000000600000001222477.5690.51910.577%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2015-05-06TJAOIManual testing256257*
56.868
18
0.003


ECM factoring results:
Total ECM effort:5.662 GHz-days
Estimated T-Level:21.026
DigitsB1CompleteFacMiss
20110002.19911.095%
25500000.20581.446%
302500000.01398.704%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.276
500007000000505.385


Lucas-Lehmer results:
No L-L results for M2533031


PRP results:
dateuseridcompidcofactorsres64
2017-10-15kkmrkkblmbrbkc4.xlarge
141849737
131555562218203727
47C560A8690E01C8
2017-11-08Oliver KruseGTX-1
141849737
131555562218203727
47C560A8690E01C8
2018-12-14Oliver KruseGTX-0
141849737
131555562218203727
224148806770156663047337
47C560A8690E01C8


CERT results:
No CERT results for M2533031


P-1 factor-bounds graph:
B1 = 2000000, B2 = 60000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
TF factor-bounds graph:
this exponent TF target: 63
TF double-checked to: 67
ECM T-Level=21.03 ~= 53-bit
250
260
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280
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Last modified: 2024-03-13T02:15:48+00:00