is 2 3524737 - 1
has 1061052 decimal digits
takes 0.370 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
Actual26816.910467.6471 %10000002355935402.09888.3265 %19.009270.3409 %
Target2641.009865.6250 %2000018000000.01781.9179 %1.027666.2843 %
Difference+4+15.9006+2.0221 %+980000+233793540+2.0809+6.4086%+17.9816+4.0567 %

Known prime factors (3 factors, 152.3 bits, 0.00432083% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
352473710080747831029.909143
11 × 13
-11132.092e-111.692e-63.409e-6
352473723466019901366248391961.025332876181987
33 × 53 × 677 × 343601
2016-03-246773436010.14310.00290.0053
352473729671973365903501911961.364420910458935
5 × 3467 × 24280961
2016-04-213467242809610.16930.20200.3763

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2020-08-04JossManual testing352473352473
skipped known factor: 1008074783
skipped known factor: 2346601990136624839
---2.701%
2020-08-20JossManual testing35247335247376
skipped known factor: 1008074783
skipped known factor: 2346601990136624839
---5.309%
2022-03-26JossManual testing1000000147585900
skipped known factor: 1008074783
skipped known factor: 2346601990136624839
skipped known factor: 2967197336590350191
--1.62510.856%
2022-09-09JossManual testing1000000235593540
skipped known factor: 1008074783
skipped known factor: 2346601990136624839
skipped known factor: 2967197336590350191
--2.19711.500%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2016-03-24TJAOIManual testing261262*
61.025
19
0.002
2016-04-21TJAOIManual testing261262*
61.364
19
0.032
2022-06-04LordJuliusManual testing262267
2022-02-22JossManual testing267268


ECM factoring results:
Total ECM effort:0.443 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.443


Lucas-Lehmer results:
No L-L results for M3524737


PRP results:
dateuseridcompidcofactorsres64
2017-09-30alpertronManual testing
1008074783
2346601990136624839
2967197336590350191
BA451BD65536F9CE
2017-11-24Oliver KruseThreadripper-PC
1008074783
2346601990136624839
2967197336590350191
BA451BD65536F9CE


CERT results:
No CERT results for M3524737


P-1 factor-bounds graph:
B1 = 1000000, B2 = 235593540 (P-1 stage 2)
B1 = 1000000, B2 = 147585900 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 352473, B2 = 3524737 (P-1 stage 2)
B1 = 352473 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
268
267
this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=0.58 ~= -15-bit
250
260
270
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Last modified: 2024-03-13T02:15:48+00:00