is 2 450383 - 1
has 135579 decimal digits
takes 0.005 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L12D4241A73D6E148double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26765.974871.6418%30000001000000000.14157.2015%66.116373.6840%2.0422%
PrimeNet2400.000052.5000%45001500000.000218.3590%0.000261.2205%8.7205%
GPU722440.000056.8182%80002400000.000413.6528%0.000462.7137%5.8955%
Difference+23+65.9748+14.8236%+2992000+99760000+0.1411-6.4512%+66.1159+10.9703%+10.9703%

Known prime factors (3 factors, 274.4 bits, 0.06092551% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
45038310018953676811404518588811032889.6951112270409497184009897
3 × 11 × 33705163924157091209
2010-04-071133705163924157091209495,095,6113.136e+105.857e+10
45038325946744942865765726586272412891.0682880520017725554220140
22 × 5 × 179 × 241877861 × 3326532353
2020-09-2124187786133265323532.034e+97.00088.4068
450383153873563283272014321506176172993.63617082523461506319545976
23 × 33 × 13 × 43 × 811 × 4520099 × 38593811
2016-10-194520099385938117.439e+90.10890.1571

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
45038325995923564661267959024900868634461597946270982159
26823
55180.762
45038315416521026210104817337872271251494933520627388020
191551
56183.331
45038339925180999609735081250527022766210206871278901530
704697
56184.703
45038340000853897340078212624060862070726986809356853322
317187712309788629718385526640791
83274.398
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-06-23T00:00:00ANONYMOUSv4_computers327683276800---0.004--1.725%
2002-09-07T00:00:00ANONYMOUSv4_computers655366553600---0.007--2.454%
2016-03-17T18:48:19alpertronManual testing300000010000000012---0.141--7.202%
2016-10-19T11:58:53kkmrkkblmbrbkManual testing500000040000000122993.6360.1180.0110.2366.344%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-03-25T00:00:00ANONYMOUSv4_computers21256--0.021--
2002-02-17T00:00:00ANONYMOUSv4_computers21257--0.043--
2003-12-23T00:00:00ANONYMOUSv4_computers21258--0.085--


ECM factoring results:

Old Calculation Method

Total ECM effort:18.716 GHz-days
Estimated T-Level:26.836
DigitsB1CurvesCompleteFacMiss
2011000513 / 1005.1300.577%
2550000513 / 2801.83215.955%
30250000235 / 6400.36769.248%

New Calculation Method

Total ECM effort:18.716 GHz-days
Estimated T-Level:26.836
DigitsB1CompleteFacMiss
201100028.5510.000%
25500003.6422.620%
302500000.35670.082%
3510000000.02897.267%
4030000000.00299.821%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002783.581
250000250000001449.274
25000025000000915.861


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-02-03T00:00:00ANONYMOUSv4_computers12D4241A73D6E1480.005


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-24T21:26:08Oliver KruseDoppelherz
1001895367681140451858881103
15387356328327201432150617617
95C279EC5FA056E2no
2017-09-27T07:33:40Oliver KruseManual testing
1001895367681140451858881103
15387356328327201432150617617
95C279EC5FA056__no
2017-10-13T06:35:13Oliver KruseThreadripper95C279EC5FA056__no
2017-12-16T14:19:25ATHxps
1001895367681140451858881103
15387356328327201432150617617
95C279EC5FA056__no
2020-04-18T19:34:41Oliver KruseAddPrpType5
1001895367681140451858881103
15387356328327201432150617617
ECBEA2CF514369__no
2020-09-21T16:24:13ATHec2-PRPCF
1001895367681140451858881103
2594674494286576572658627241
15387356328327201432150617617
ECBEA2CF51436903no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 5000000, B2 = 40000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 3000000 (P-1 stage 1)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2020-09-25T08:52:17+00:00