is 2 553363 - 1
has 166579 decimal digits
takes 0.008 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LFE9C4E10382D6500double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26753.697070.1493%1500000018150000002.390912.1602%56.087973.7791%3.6299%
PrimeNet2400.000050.0000%55001900000.000319.7854%0.000359.8927%9.8927%
GPU722440.000054.5455%100003200000.000614.9963%0.000661.3619%6.8165%
Difference+23+53.6970+15.6038%+14990000+1814680000+2.3904-2.8361%+56.0873+12.4172%+12.4172%

Known prime factors (2 factors, 132.1 bits, 0.02386711% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
553363234918028461651535032064.34921226394650677
3 × 439 × 16117232081
2009-10-304391611723208110.46218.56834.681
5533632435766997330391199112167.723220087627590785
5 × 47 × 936543096131
2016-03-184793654309613155.8601,079.02,015.2

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
553363572205580804812338256465564219533869823340132.072
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-12-07T00:00:00Alex Kruppav4_computers1000004000000---0.007--2.536%
2002-04-28T00:00:00ANONYMOUSv4_computers163841638400---0.002--1.184%
2002-06-29T00:00:00ANONYMOUSv4_computers327683276800---0.004--1.790%
2002-09-07T00:00:00ANONYMOUSv4_computers655366553600---0.009--2.535%
2003-05-11T00:00:00ANONYMOUSv4_computers13107213107200---0.018--3.409%
2016-03-17T18:48:40alpertronManual testing15000005000000012---0.088--6.167%
2021-08-27T16:36:26ViliamF3150000001815000000---2.391--12.160%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-03-27T00:00:00ANONYMOUSv4_computers21254--0.004--
2022-03-07T08:27:09LordJuliusManual testing254255--0.004--
2001-04-08T00:00:00ANONYMOUSv4_computers21256--0.017--
2002-01-15T00:00:00ANONYMOUSv4_computers21257--0.035--
2003-12-13T00:00:00ANONYMOUSv4_computers21258--0.069--


ECM factoring results:

Old Calculation Method

Total ECM effort:16.130 GHz-days
Estimated T-Level:26.125
DigitsB1CurvesCompleteFacMiss
2011000422 / 1004.2201.439%
2550000422 / 2801.50722.095%
30250000144 / 6400.22579.838%

New Calculation Method

Total ECM effort:16.130 GHz-days
Estimated T-Level:26.125
DigitsB1CompleteFacMiss
201100023.7830.000%
25500003.0174.892%
302500000.28675.100%
3510000000.02297.835%
4030000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002203.556
500005000000580.937
2500002500000014411.64


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-05-11T00:00:00ANONYMOUSv4_computersFE9C4E10382D65000.008


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-27T10:51:08Oliver KruseGTX-1
23491802846165153503
243576699733039119911
97DBF828EFF3CF91no
2017-09-28T09:43:13Oliver KruseManual testing
23491802846165153503
243576699733039119911
97DBF828EFF3CF__no
2017-10-13T15:20:29kkmrkkblmbrbkc4.xlarge97DBF828EFF3CF__no
2020-04-19T06:36:24Oliver KruseAddPrpType5
23491802846165153503
243576699733039119911
494A3EE3DE18EB__no


P-1 factor-bounds graph:
B1 = 15000000, B2 = 1815000000 (P-1 stage 2)
B1 = 15000000 (P-1 stage 1)
B1 = 1500000, B2 = 50000000 (P-1 stage 2)
B1 = 1500000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (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 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 16384 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-03-07T08:27:09+00:00