is 2 749129 - 1
has 225511 decimal digits
takes 0.015 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LE4D53386BAB080__double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26739.664670.1493%500000150000000.03744.5470%39.702071.5066%1.3573%
PrimeNet2400.000050.0000%70002800000.000621.9541%0.000660.9770%10.9770%
GPU722440.000054.5455%120004500000.001016.6281%0.001062.1037%7.5582%
Difference+23+39.6646+15.6038%+488000+14550000+0.0363-12.0811%+39.7009+9.4029%+9.4029%

Known prime factors (1 factor, 59.0 bits, 0.00787324% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
7491295688106525712124791858.981379647999591
3 × 72 × 97 × 26625149
2007-08-3097266251490.08640.04200.0785

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-12-07T00:00:00Alex Kruppav4_computers1000004000000---0.009--2.656%
2002-05-25T00:00:00ANONYMOUSv4_computers163841638400---0.003--1.257%
2002-07-20T00:00:00ANONYMOUSv4_computers327683276800---0.006--1.888%
2002-11-24T00:00:00ANONYMOUSv4_computers655376553700---0.012--2.659%
2003-06-30T00:00:00ANONYMOUSv4_computers13107213107200---0.024--3.558%
2016-03-17T18:51:51alpertronManual testing5000001500000012---0.037--4.547%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-09-08T00:00:00ANONYMOUSv4_computers21255--0.006--
2001-03-25T00:00:00ANONYMOUSv4_computers21256--0.013--
2001-12-08T00:00:00ANONYMOUSv4_computers21257--0.026--
2003-09-29T00:00:00ANONYMOUSv4_computers21258--0.051--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.371 GHz-days
Estimated T-Level:25.344
DigitsB1CurvesCompleteFacMiss
2011000325 / 1003.2503.815%
2550000325 / 2801.16131.261%
3025000044 / 6400.06993.351%

New Calculation Method

Total ECM effort:11.371 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100014.8080.000%
25500001.62019.795%
302500000.13287.678%
3510000000.00999.129%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002816.378
25000025000000444.993


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2003-05-19T00:00:00ANONYMOUSv4_computersE4D53386BAB080__0.015


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-27T18:04:25Oliver KruseGTX-0
568810652571212479
4BDC256FD2AA76__no
2017-10-13T16:53:30Oliver KruseThreadripper4BDC256FD2AA76__no
2017-12-16T18:22:50ATHwork
568810652571212479
4BDC256FD2AA76__no
2020-04-20T22:17:33Oliver KruseAddPrpType5
568810652571212479
4072B0436C2883__no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 65537, B2 = 6553700 (P-1 stage 2)
B1 = 100000, B2 = 4000000 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 65537 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 16384 (P-1 stage 1)
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108
TF factor-bounds graph:
267
258
257
256
255
250
260
270
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290
2100
Last modified: 2020-04-20T22:17:33+00:00