is 2 573847 - 1
has 172746 decimal digits
takes 0.008 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
Actual26751.780270.1493 %175000056752495806.573311.5634 %58.353673.6010 %
Target2440.000054.5455 %1000017000000.002215.2088 %0.002261.4585 %
Difference+23+51.7802+15.6038 %+1740000+5673549580+6.5712-3.6454 %+58.3514+12.1425 %

Known prime factors (2 factors, 165.7 bits, 0.02887043% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
573847405069799313494244159212375.10135294233420536680
23 × 5 × 103 × 3911 × 46229 × 47381
-462294738121,7050.00100.0020
57384718396393025072467274961928792890.5711602900513993491930337
3 × 534300171331163976779
2021-05-283534300171331163976779601,234,4696.156e+111.150e+12

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2022-12-15USAFSS6917th_Scty_Sq17500005675249580
skipped known factor: 40506979931349424415921
--6.84945.827%


Trial Factoring results:
5758596061626364656667
No TF results for M573847


ECM factoring results:
Total ECM effort:17.346 GHz-days
Estimated T-Level:26.502
DigitsB1CompleteFacMiss
201100024.8080.000%
25500003.1354.351%
302500000.30074.050%
3510000000.02397.711%
4030000000.00199.851%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002814.554
25000025000000443.565
25000035000000484.429
25000035000000524.798


Lucas-Lehmer results:
No L-L results for M573847


PRP results:
dateuseridcompidcofactorsres64
2017-09-27Oliver KruseGTX-2
40506979931349424415921
F898E71F9812B2FC
2017-09-28Oliver KruseManual testing
40506979931349424415921
F898E71F9812B2FC
2017-11-08kkmrkkblmbrbkc4.xlarge
40506979931349424415921
F898E71F9812B2FC
2020-04-19Oliver KruseAddPrpType5
40506979931349424415921
E08D6B51EBEF402E
2021-05-31Klaus Nordmannno1
40506979931349424415921
1839639302507246727496192879
E08D6B51EBEF402E


CERT results:
dateuseridcompid
2021-05-31Simon Josefssoncto9


P-1 factor-bounds graph:
B1 = 1750000, B2 = 5675249580 (P-1 stage 2)
B1 = 1750000 (P-1 stage 1)
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TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=26.5 ~= 71-bit
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Last modified: 2024-03-13T02:15:48+00:00