is 2 34703 - 1
has 10447 decimal digits
takes 0.000 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
Actualunknown200000000040464232253445021,046.577978.1162%21,046.577978.1162%78.1162%
PrimeNet2400.000060.0000%500100000.00004.2582%0.000061.7033%1.7033%
GPU722440.000163.6364%500100000.00001.8353%0.000164.3037%0.6674%
Difference-44-0.0001-63.6364%+1999999500+404642322524450+21,046.5779+76.2810%+21,046.5779+13.8125%+77.4488%

Known prime factors (3 factors, 263.0 bits, 0.75783274% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
34703520336783928.9557497
32 × 72 × 17
-49491.672e-94.677e-89.519e-8
3470359158308906542175009280456814376733108.8668523515100501710948517485061
3 × 7 × 13 × 83 × 14494635097 × 25951992620207
2018-11-1914494635097259519926202075.053e+121,362.82,520.9
347034783957564336778196600181798402132780138125.170689271469950260524536809756851300
22 × 52 × 59 × 277 × 25339 × 29629 × 521823881 × 1076534881
2022-07-1652182388110765348814.004e+120.52701.0138

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
3470330782244144150402998151988043563200228156142137.821
347032489269089035514695403480134195720311136080418347154.124
3470328301083938682423580812075810201190520086349906192
985345466989201966367
71234.036
3470314726094972066981544683096054632206057991828192400
809771826436794046916678977361
80262.991
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-10-21T09:33:29kkmrkkblmbrbkManual testing200000000500000000012-
skipped known factor: 520336783
--0.441--41.442%
2022-07-16T14:04:07nordisweet16_ccx32000000000200000000038125.1701.9094.56923e-53.81836.039%
2022-08-06T04:25:11nordisweet16_30.8b142000000000404642322534450-
skipped known factor: 520336783
skipped known factor: 47839575643367781966001817984021327801
--21,047--69.500%


Trial Factoring results:
No TF results for M34703


ECM factoring results:
Total ECM effort:21.720 GHz-days
Estimated T-Level:34.960
DigitsB1CompleteFacMiss
2011000300.7840.000%
255000056.6030.000%
302500008.2970.025%
3510000000.99237.081%
4030000000.09890.628%
45110000000.00899.181%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002800.192
250000250000005852.009
10000001000000001,42019.51
100000010000000010.014


Lucas-Lehmer results:
No L-L results for M34703


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T19:45:39Oliver KruseOllaptop
520336783
4D338452BD4E72__no
2017-09-21T20:27:31Oliver KruseManual testing
520336783
4D338452BD4E72__no
2017-10-12T22:21:04kkmrkkblmbrbkManual testing
520336783
4D338452BD4E72__no
2018-11-19T07:22:17ATHec2-PRPCF
520336783
591583089065421750092804568143767
8214730B0E457B__no
2018-11-19T23:09:41kkmrkkblmbrbkc5d.large
520336783
591583089065421750092804568143767
8214730B0E457B__no
2022-07-16T18:55:08mnd975211backdoor
520336783
591583089065421750092804568143767
47839575643367781966001817984021327801
8214730B0E457B24no


P-1 factor-bounds graph:
B1 = 2000000000, B2 = 404642322534450 (P-1 stage 2)
B1 = 2000000000 (P-1 stage 1)
B1 = 200000000, B2 = 5000000000 (P-1 stage 2)
B1 = 200000000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-08-06T04:25:11+00:00