is 2 3512603 - 1
has 1057399 decimal digits
takes 0.369 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
Actual26816.968967.6471%10000001452087001.34887.7910%18.317770.1677%2.5206%
PrimeNet2600.043763.3333%150003000000.00462.9623%0.048464.4195%1.0862%
GPU722641.013365.6250%200003600000.00591.9167%1.019266.2839%0.6589%
Difference+4+15.9556+2.0221%+980000+144848700+1.3430+5.8743%+17.2985+3.8838%+3.8838%

Known prime factors (2 factors, 110.4 bits, 0.00314278% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
351260368350547491991342.636972933
3 × 132 × 19 × 101
-1691692.655e-72.574e-55.238e-5
35126032494202667468084990492167.75735503623202908
22 × 3 × 7 × 67 × 107 × 769 × 76667
2018-11-04769766678.76870.00070.0012

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
3512603170480117877425484510104432501175134110.393
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2020-10-12T02:46:38Jocelyn LaroucheManual testing35126035126036-
skipped known factor: 6835054749199
skipped known factor: 249420266746808499049
--0.080--3.522%
2022-04-25T11:28:05Jocelyn LaroucheManual testing1000000145208700-
skipped known factor: 6835054749199
skipped known factor: 249420266746808499049
--1.349--7.791%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2022-02-08T17:28:38Jocelyn LaroucheManual testing26726867.757210.3090.7490.629


ECM factoring results:

Old Calculation Method

Total ECM effort:0.148 GHz-days
Estimated T-Level:0.050
DigitsB1CurvesCompleteFacMiss
20110001 / 1000.01099.000%
25500001 / 2800.00499.643%

New Calculation Method

Total ECM effort:0.148 GHz-days
Estimated T-Level:0.050
DigitsB1CompleteFacMiss
20110000.03896.227%
25500000.00499.645%


ECM Summary

B1B2factorcurvesGHz-days
50000500000010.148


Lucas-Lehmer results:
No L-L results for M3512603


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-07T15:59:18kkmrkkblmbrbkc4.xlarge
6835054749199
80BFB8525C1D1B__no
2017-11-24T11:57:29Oliver KruseGTX-2
6835054749199
80BFB8525C1D1B__no
2018-11-07T08:55:58Luigi MorelliGoogleCloudTmp
6835054749199
249420266746808499049
80BFB8525C1D1B__no


P-1 factor-bounds graph:
B1 = 1000000, B2 = 145208700 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 351260, B2 = 3512603 (P-1 stage 2)
B1 = 351260 (P-1 stage 1)
101
102
103
104
105
106
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
268
240
250
260
270
280
290
2100
Last modified: 2022-04-25T11:28:05+00:00