is 2 1841107 - 1
has 554229 decimal digits
takes 0.100 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26716.139268.6567%10000001883290500.88158.2201%17.020771.2332%2.5764%
PrimeNet2570.010463.1579%80001500000.00122.8824%0.011764.2198%1.0619%
GPU722610.166865.5738%90001400000.00131.5966%0.168166.1234%0.5496%
Difference+6+15.9723+3.0829%+991000+188189050+0.8802+6.6235%+16.8526+5.1098%+5.1098%

Known prime factors (3 factors, 188.9 bits, 0.01025882% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
184110788373137826.39724
23 × 3
-884.881e-126.293e-71.281e-6
18411074900065029676825855132168.731133073879727708
22 × 32 × 31 × 89 × 1339795817
2020-06-0289133979581762.6525.742010.725
1841107166244738223043024311531836412993.7474514803817025382672260
22 × 3 × 5 × 7 × 2803 × 3835009952793251
2021-06-04280338350099527932511.981e+916,435,89430,697,673

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
1841107433034118176539197020545642812995.128
1841107146915690265141177443773336589225181737120.144
1841107814610028134511462500008044613223820588417519283349162.479
184110771989643617905035903583573427706540708523642044823
2127121
57188.876
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-04-03T12:48:58Jocelyn LaroucheManual testing1000000188329050-
skipped known factor: 88373137
--0.882--8.220%


Trial Factoring results:
No TF results for M1841107


ECM factoring results:

Old Calculation Method

Total ECM effort:18.581 GHz-days
Estimated T-Level:24.482
DigitsB1CurvesCompleteFacMiss
2011000251 / 1002.5108.025%
2550000251 / 2800.89640.737%

New Calculation Method

Total ECM effort:18.581 GHz-days
Estimated T-Level:24.482
DigitsB1CompleteFacMiss
20110008.4080.022%
25500000.76146.715%
302500000.04795.408%
3510000000.00299.784%


ECM Summary

B1B2factorcurvesGHz-days
50000500000060.415
5000050000001057.257
500006600000745.767
500006600000665.143


Lucas-Lehmer results:
No L-L results for M1841107


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-04T03:56:35Oliver KruseGTX-2
88373137
55EFAF1E59822F__no
2017-11-06T13:48:40kkmrkkblmbrbkc4.xlarge
88373137
55EFAF1E59822F__no
2020-06-02T14:10:10riccardo ubertiTuareg8C
88373137
490006502967682585513
AC025A595ED6C21Ano
2020-06-02T14:29:00riccardo ubertiColab_noGPU12
88373137
490006502967682585513
AC025A595ED6C21Ano
2020-06-05T03:14:21arnaudstm-11-010
88373137
490006502967682585513
AC025A595ED6C21Ano
2021-06-04T16:57:25ZacHFX5950X
88373137
490006502967682585513
16624473822304302431153183641
AC025A595ED6C21Ano


P-1 factor-bounds graph:
B1 = 1000000, B2 = 188329050 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
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100
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1016
TF factor-bounds graph:
267
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2100
Last modified: 2022-04-03T12:48:58+00:00