is 2 345937 - 1
has 104138 decimal digits
takes 0.003 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
Actualunknown50000500000.000715.2143%0.000715.2143%15.2143%
PrimeNet2400.000052.5000%34001000000.000116.2442%0.000160.2160%7.7160%
GPU722440.000056.8182%60001700000.000212.0239%0.000262.0103%5.1921%
Difference-440.0000-56.8182%+44000-120000+0.0005+3.1904%+0.0005-46.7960%-46.7960%

Known prime factors (3 factors, 220.8 bits, 0.06384073% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
345937403583941691135.23258332
22 × 3 × 4861
-448612.151e-83.776e-66.953e-6
3459371668331515050398523330572477.143241132274814546944
210 × 17 × 13851808066093
2014-10-03102413851808066093155,96910,60919,814
34593745068574340942077935567271459444733108.474651398583281668019546438679
3 × 11 × 41 × 1061 × 453767752661672019763
2020-09-0510614537677526616720197634.016e+113.475e+116.491e+11

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
345937673311808889689395051106867474463334112.375
3459371818895287886619776121541726176093100457954344143.706
34593775189322911385413004890516154740339761577040206526
734479
56185.617
34593730345203313579151559282301756628728299427096697153
67116539884852951
67220.849
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-02-06T16:56:48Lisander ViaeneManual testing5000050000-
skipped known factor: 40358394169
--0.001--9.947%


Trial Factoring results:
No TF results for M345937


ECM factoring results:

Old Calculation Method

Total ECM effort:15.909 GHz-days
Estimated T-Level:26.938
DigitsB1CurvesCompleteFacMiss
2011000529 / 1005.2900.491%
2550000529 / 2801.88915.067%
30250000248 / 6400.38867.855%

New Calculation Method

Total ECM effort:15.909 GHz-days
Estimated T-Level:26.938
DigitsB1CompleteFacMiss
201100029.7310.000%
25500003.8072.221%
302500000.37368.870%
3510000000.02997.128%
4030000000.00299.812%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002772.897
50000500000040.042
250000250000001648.577
25000025000000844.393


Lucas-Lehmer results:
No L-L results for M345937


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T23:16:54Oliver KruseOllaptop
40358394169
166833151505039852333057
897CAA93F13A93__no
2017-09-23T17:11:30Oliver KruseManual testing
40358394169
166833151505039852333057
897CAA93F13A93__no
2017-10-13T04:24:42Oliver KruseGTX-1897CAA93F13A93__no
2017-12-13T06:53:19ATHxps
40358394169
166833151505039852333057
897CAA93F13A93__no
2020-04-18T15:13:45Oliver KruseAddPrpType5
40358394169
166833151505039852333057
B021B5F9DC7B05__no
2020-09-06T12:09:15ViliamFAWS
40358394169
166833151505039852333057
450685743409420779355672714594447
B021B5F9DC7B0591no


P-1 factor-bounds graph:
B1 = 50000 (P-1 stage 1)
100
101
102
103
104
105
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
TF factor-bounds graph:
230
240
250
260
270
280
290
2100
2110
Last modified: 2022-02-06T16:56:48+00:00