is 2 4218173 - 1
has 1269797 decimal digits
takes 0.526 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-daysProbabilityProb over default TF
Actual2677.044365.6716%2000001352336701.36676.9415%8.410968.0546%2.3829%
PrimeNet2610.072862.2951%180003600000.00662.9161%0.079463.3946%1.0995%
GPU722651.729664.6154%220004500000.00821.8763%1.737865.2793%0.6639%
Difference+2+5.3147+1.0563%+178000+134783670+1.3585+5.0653%+6.6731+2.7753%+1.7190%

Known prime factors (2 factors, 181.9 bits, 0.00431292% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
42181732842225027596609191857.98033690237783
3 × 97 × 115774013
-971157740130.00571.14072.1306
42181732049333184456869062597794734910790050338123.9462429171568421765848150128900487
32 × 83 × 223 × 821 × 1049 × 3499 × 31607 × 63773 × 2400767
2022-10-046377324007673.962e+100.03460.0442

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
421817358246660667475716629964150719448077058866400322695
42257
55181.926
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-10-04T09:01:03harleei5-4250U_130020000013523367038123.9461.3671.0522.7336.942%


Trial Factoring results:
No TF results for M4218173


ECM factoring results:
Total ECM effort:0.546 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.546


Lucas-Lehmer results:
No L-L results for M4218173


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-20T06:34:20kkmrkkblmbrbkManual testing
284222502759660919
2105205B397BC7__no
2018-01-22T02:36:24Oliver KruseGTX-1
284222502759660919
2105205B397BC7__no
2022-10-09T18:38:55Perigbrollach
284222502759660919
20493331844568690625977947349107900503
D5BAE28534B9A242no


P-1 factor-bounds graph:
B1 = 200000, B2 = 135233670 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
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TF factor-bounds graph:
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2100
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Last modified: 2022-10-09T18:38:55+00:00