is 2 3511301 - 1
has 1057007 decimal digits
takes 0.369 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-
PRP7D715889E23E895Bverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272272.358869.4444%10000001452087001.34885.4864%273.707671.1208%1.6764%
PrimeNet2600.043763.3333%150003000000.00462.9621%0.048464.4194%1.0861%
GPU722641.013765.6250%200003600000.00591.9165%1.019566.2838%0.6588%
Difference+8+271.3451+3.8194%+980000+144848700+1.3430+3.5698%+272.6881+4.8370%+4.8370%

Known prime factors (1 factor, 74.2 bits, 0.00211378% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3511301220216326371093519438632374.2213135822397041631
11 × 29 × 571 × 2237 × 7695887
2021-05-06223776958871,196.00.06420.1193

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-06T10:42:00Carsten Kossendeyleela20000240000---0.005--0.510%
2011-11-11T22:15:00markrtiny2350005875000---0.083--2.425%
2022-04-24T23:35:29Jocelyn LaroucheManual testing1000000145208700-
skipped known factor: 22021632637109351943863
--1.349--5.486%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:32Mark RoseManual testing21260--0.044--
2009-03-21T07:03:00Jayson Kingatlas260261--0.044--
2011-07-10T12:08:00markroldgamer261262--0.087--
2012-06-20T01:19:00GrunwalderGIMPManual testing21263--0.455--
2016-02-23T16:29:32Mark RoseManual testing262263--0.280--
2015-01-25T20:43:00VictordeHollanderManual testing263264--0.559--
2015-01-25T20:43:00VictordeHollanderManual testing264265--1.064--
2016-03-04T16:03:11ramgeisManual testing265266--2.128--
2017-01-07T17:26:13Gordon SpenceManual testing266267--4.256--
2018-12-10T15:07:47TJAOIManual testing267268--8.513--
2021-01-16T08:58:50axnManual testing268269--17.03--
2021-03-16T23:57:35-Anonymous-Manual testing269270--34.05--
2021-03-16T23:57:35-Anonymous-Manual testing270271--68.10--
2021-03-18T23:55:06-Anonymous-Manual testing271272--136.2--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.360 GHz-days
Estimated T-Level:0.800
DigitsB1CurvesCompleteFacMiss
201100016 / 1000.16085.146%
255000016 / 2800.05794.436%

New Calculation Method

Total ECM effort:2.360 GHz-days
Estimated T-Level:0.800
DigitsB1CompleteFacMiss
20110000.61554.043%
25500000.05794.465%
302500000.00499.641%


ECM Summary

B1B2factorcurvesGHz-days
500005000000152.213
50000500000010.148


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-27T00:00:00ANONYMOUSv4_computers6C0719000AF0AF__0.369


PRP results:
dateuseridcompidcofactorsres64PRP
2021-05-08T16:16:49kutensterra
22021632637109351943863
7D715889E23E895Bno


P-1 factor-bounds graph:
B1 = 1000000, B2 = 145208700 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 235000, B2 = 5875000 (P-1 stage 2)
B1 = 235000 (P-1 stage 1)
B1 = 20000, B2 = 240000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-04-24T23:35:29+00:00