is 2 3553507 - 1
has 1069713 decimal digits
takes 0.373 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L6F0C3097442DCA08double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual271134.537069.0141%500000120000000.17163.5510%134.708670.1144%1.1003%
PrimeNet2600.043263.3333%150003000000.00462.9683%0.047964.4217%1.0884%
GPU722641.001665.6250%200003600000.00591.9207%1.007566.2853%0.6603%
Difference+7+133.5354+3.3891%+480000+11640000+0.1657+1.6303%+133.7011+3.8291%+3.8291%

Known prime factors (1 factor, 73.3 bits, 0.00206296% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3553507116865741666971847334492373.3071644371907343532
22 × 43 × 66973 × 142748597
2021-12-1066973142748597625.921.19412.2122

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-07T09:57:00Carsten Kossendeyleela20000245000---0.005--0.603%
2011-12-16T06:10:00Squeeky_SquirrelP4_2600600001005000---0.017--1.308%
2014-08-11T01:34:00ANONYMOUSManual testing7806278062---0.012--0.485%
2014-11-19T23:20:00Jocelyn LaroucheManual testing9612496124---0.015--0.556%
2015-12-17T00:43:27HBendtzManual testing5000001200000012---0.172--3.551%
2022-03-01T15:49:24Jocelyn LaroucheManual testing100000100000---0.015--0.570%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-10-22T09:40:35ArtyomPaxioo50000250000027--0.032
2021-10-22T09:58:17ArtyomPaxioo50000250000065--0.032


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:33Mark RoseManual testing21260--0.043--
2009-03-16T06:10:00S485122USB-A260261--0.043--
2011-06-29T11:14:00Grant McCrackenthumper261262--0.086--
2012-06-20T01:21:00GrunwalderGIMPManual testing21263--0.449--
2016-02-23T16:29:33Mark RoseManual testing262263--0.276--
2015-01-30T19:15:00VictordeHollanderManual testing263264--0.552--
2015-01-30T19:15:00VictordeHollanderManual testing264265--1.051--
2016-03-02T17:47:28ramgeisManual testing265266--2.103--
2017-01-16T05:00:22Gordon SpenceManual testing266267--4.206--
2019-02-14T05:27:10YxinityManual testing267268--8.412--
2021-01-25T02:30:57axnManual testing268269--16.82--
2021-03-18T11:36:35-Anonymous-Manual testing269270--33.65--
2021-03-18T11:36:35-Anonymous-Manual testing270271--67.29--


ECM factoring results:

Old Calculation Method

Total ECM effort:6.084 GHz-days
Estimated T-Level:2.000
DigitsB1CurvesCompleteFacMiss
201100040 / 1000.40066.897%
255000040 / 2800.14386.666%

New Calculation Method

Total ECM effort:6.084 GHz-days
Estimated T-Level:2.000
DigitsB1CompleteFacMiss
20110001.31526.860%
25500000.11888.837%
302500000.00799.273%


ECM Summary

B1B2factorcurvesGHz-days
500005000000294.288
50000500000040.591
50000680000071.205


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-26T00:00:00ANONYMOUSv4_computers6F0C3097442DCA080.373


PRP results:
dateuseridcompidcofactorsres64PRP
2021-12-14T01:06:18carlosUMAMint
11686574166697184733449
F1ACE7DE8F81F867no
2021-12-14T08:29:55carlosUMAMint
11686574166697184733449
F1ACE7DE8F81F867no


P-1 factor-bounds graph:
B1 = 500000, B2 = 12000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 60000, B2 = 1005000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 96124 (P-1 stage 1)
B1 = 78062 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 20000, B2 = 245000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-03-01T15:49:24+00:00