is 2 3324407 - 1
has 1000747 decimal digits
takes 0.349 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LAC6CF904DE7161CEdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26817.929567.6471%10000001164471001.11027.5053%19.039770.0753%2.4282%
PrimeNet2600.046263.3333%140002600000.00422.7821%0.050464.3534%1.0201%
GPU722641.070765.6250%170003000000.00491.7246%1.075666.2178%0.5928%
Difference+4+16.8588+2.0221%+983000+116147100+1.1052+5.7808%+17.9641+3.8574%+3.8574%

Known prime factors (2 factors, 139.9 bits, 0.00420890% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
33244073983869718468447159212168.43359918501532280
23 × 5 × 53 × 433 × 2243 × 29101
2000-12-2122432910118.5520.00060.0007
332440733124649026450398954712271.488498203875555105
5 × 99640775111021
2018-09-30599640775111021178.22826,7391,544,118

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
3324407131964286191371073160957004012085052949379143139.921
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-03-08T12:47:33Jocelyn LaroucheManual testing33244036568476-
skipped known factor: 398386971846844715921
--0.078--3.507%
2021-03-08T20:06:52Jocelyn LaroucheManual testing33244069812546-
skipped known factor: 398386971846844715921
--0.106--4.042%
2022-01-07T17:30:03Jocelyn LaroucheManual testing1000000116447100-
skipped known factor: 398386971846844715921
--1.110--7.505%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-12-21T00:00:00ANONYMOUSv4_computers??68.433210.6230.7101.266
1998-04-11T00:00:00ANONYMOUSv4_computers21260--0.046--
2022-04-20T22:36:05LordJuliusManual testing21262--0.185--
2022-04-20T22:36:05LordJuliusManual testing262263--0.295--
2022-04-20T22:36:05LordJuliusManual testing263264--0.591--
2022-04-20T22:36:05LordJuliusManual testing264265--1.124--
2021-02-10T11:26:20Jocelyn LaroucheManual testing265266--2.248--
2022-04-20T22:36:05LordJuliusManual testing265266--2.248--
2022-04-20T22:36:05LordJuliusManual testing266267--4.496--
2021-10-08T11:19:50Jocelyn LaroucheManual testing267268--8.991--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.584 GHz-days
Estimated T-Level:0.200
DigitsB1CurvesCompleteFacMiss
20110004 / 1000.04096.060%
25500004 / 2800.01498.579%

New Calculation Method

Total ECM effort:0.584 GHz-days
Estimated T-Level:0.200
DigitsB1CompleteFacMiss
20110000.15485.740%
25500000.01498.587%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.438
50000500000010.146


Lucas-Lehmer results:
No L-L results for M3324407


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-04T12:13:54Oliver KruseGTX-1
398386971846844715921
CC49D595115AC1__no
2017-12-15T00:07:27kkmrkkblmbrbkc4.xlarge
398386971846844715921
CC49D595115AC1__no
2018-10-05T01:09:17Oliver KruseGTX-7
398386971846844715921
3312464902645039895471
CC49D595115AC1__no


P-1 factor-bounds graph:
B1 = 1000000, B2 = 116447100 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 332440, B2 = 6981254 (P-1 stage 2)
B1 = 332440, B2 = 3656847 (P-1 stage 2)
B1 = 332440 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
TF factor-bounds graph:
268
267
266
265
264
263
262
260
2
250
260
270
280
290
2100
Last modified: 2022-04-20T22:36:05+00:00