is 2 3914011 - 1
has 1178235 decimal digits
takes 0.488 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
Actual26815.228667.6471 %39140114345572004.951010.3061 %20.179670.9814 %
Target2640.909465.6250 %2600025000000.02912.2794 %0.938566.4085 %
Difference+4+14.3192+2.0221 %+3888011+432057200+4.9219+8.0267%+19.2411+4.5728 %

Known prime factors (3 factors, 217.5 bits, 0.00555608% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
39140113231446934830891548.19941280504
23 × 3 × 1069 × 1609
-106916091.125e-50.00020.0004
3914011307662365660247281992064.7383930269558009
3930269558009
2018-01-01139302695580091.423738,72572,328
39140112925577367195113778574455528731332104.5283737313675402437267772696
23 × 32 × 17 × 103 × 431 × 571 × 593 × 363719 × 558479
2022-05-163637195584794.805e+100.06770.1339

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2022-04-17JossManual testing200000200000
skipped known factor: 323144693483089
--0.0322.162%
2022-05-16JossManual testing500000130364850232104.5281.37010.115%
2022-08-20JossManual testing3914011434557200
skipped known factor: 323144693483089
skipped known factor: 29255773671951137785744555287313
--4.95113.693%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2018-01-01TJAOIManual testing264265*
64.738
20
0.704
2022-06-20LordJuliusManual testing265267
2022-03-16JossManual testing267268


ECM factoring results:
Total ECM effort:0.474 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.474


Lucas-Lehmer results:
No L-L results for M3914011


PRP results:
dateuseridcompidcofactorsres64
2017-09-20kkmrkkblmbrbkManual testing
323144693483089
F48492319AC31A32
2017-12-29Oliver KruseGTX-1
323144693483089
F48492319AC31A32
2018-01-03Chun sung sooTae-Hee_Lee
323144693483089
30766236566024728199
13939D52164B82BC
2018-01-05kkmrkkblmbrbkold
323144693483089
30766236566024728199
13939D52164B82BC
2022-05-18aperson12012_VP113
323144693483089
30766236566024728199
29255773671951137785744555287313
13939D52164B82BC


CERT results:
dateuseridcompid
2022-05-18John Aireyequiano


P-1 factor-bounds graph:
B1 = 3914011, B2 = 434557200 (P-1 stage 2)
B1 = 500000, B2 = 130364850 (P-1 stage 2)
B1 = 3914011 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 200000 (P-1 stage 1)
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107
100
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109
1010
1011
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TF factor-bounds graph:
268
267
this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=0.58 ~= -15-bit
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Last modified: 2024-03-13T02:15:48+00:00