is 2 535663 - 1
has 161251 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-L86581CBE8B5C399Cdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26755.471370.1493%1500000500000000.08766.1453%55.558971.9837%1.8344%
PrimeNet2400.000050.0000%50001800000.000319.4182%0.000359.7091%9.7091%
GPU722440.000054.5455%90003000000.000514.6440%0.000561.2018%6.6564%
Difference+23+55.4713+15.6038%+1491000+49700000+0.0871-8.4987%+55.5584+10.7818%+10.7818%

Known prime factors (1 factor, 96.9 bits, 0.01808867% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
5356631472637109002832957682534115833096.894137459289609589700771057
132 × 293 × 4266527 × 650646760523
2014-03-2942665276506467605234.719e+10749.681,400.0

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-12-22T00:00:00ANONYMOUSv4_computers2000200000---0.000--0.181%
2002-01-22T00:00:00ANONYMOUSv4_computers4096409600---0.001--0.392%
2002-03-03T00:00:00ANONYMOUSv4_computers8192819200---0.001--0.717%
2002-04-28T00:00:00ANONYMOUSv4_computers163841638400---0.002--1.176%
2002-05-11T00:00:00ANONYMOUSv4_computers500001000000---0.002--1.527%
2002-06-23T00:00:00ANONYMOUSv4_computers327683276800---0.004--1.779%
2002-09-07T00:00:00ANONYMOUSv4_computers655366553600---0.009--2.522%
2003-05-11T00:00:00ANONYMOUSv4_computers13107213107200---0.018--3.393%
2011-06-12T13:06:00Jocelyn LaroucheManual testing400000400000---0.008--1.496%
2011-06-26T19:17:00Jocelyn LaroucheManual testing447816447816---0.009--1.576%
2011-07-26T07:33:00Jocelyn LaroucheManual testing746361746361---0.016--1.970%
2011-09-24T18:59:00Jocelyn LaroucheManual testing14927221492722---0.032--2.586%
2016-03-16T12:41:10alpertronManual testing15000005000000012---0.088--6.145%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-03-22T00:00:00ANONYMOUSv4_computers253254--0.002--
2022-03-07T08:26:44LordJuliusManual testing254255--0.004--
2001-04-01T00:00:00ANONYMOUSv4_computers21256--0.018--
2002-01-02T00:00:00ANONYMOUSv4_computers21257--0.036--
2003-12-23T00:00:00ANONYMOUSv4_computers21258--0.072--


ECM factoring results:

Old Calculation Method

Total ECM effort:16.126 GHz-days
Estimated T-Level:26.125
DigitsB1CurvesCompleteFacMiss
2011000424 / 1004.2401.410%
2550000424 / 2801.51421.937%
30250000144 / 6400.22579.838%

New Calculation Method

Total ECM effort:16.126 GHz-days
Estimated T-Level:26.125
DigitsB1CompleteFacMiss
201100021.0320.000%
25500002.5517.798%
302500000.23878.858%
3510000000.01898.228%
4030000000.00199.887%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002804.515
2500002500000014411.61


Lucas-Lehmer results:
No L-L results for M535663


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-27T10:22:53Oliver KruseGTX-3
147263710900283295768253411583
F70C461E3888C8__no
2017-09-28T09:42:52Oliver KruseManual testing
147263710900283295768253411583
F70C461E3888C8__no
2017-11-07T08:34:45kkmrkkblmbrbkc4.xlarge
147263710900283295768253411583
F70C461E3888C8__no
2020-04-19T04:09:03Oliver KruseAddPrpType5
147263710900283295768253411583
9B13073E1A937A__no


P-1 factor-bounds graph:
B1 = 1500000, B2 = 50000000 (P-1 stage 2)
B1 = 1500000 (P-1 stage 1)
B1 = 1492722 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 746361 (P-1 stage 1)
B1 = 447816 (P-1 stage 1)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 400000 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 50000, B2 = 1000000 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 8192, B2 = 819200 (P-1 stage 2)
B1 = 50000 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 4096, B2 = 409600 (P-1 stage 2)
B1 = 16384 (P-1 stage 1)
B1 = 2000, B2 = 200000 (P-1 stage 2)
B1 = 8192 (P-1 stage 1)
B1 = 4096 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
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TF factor-bounds graph:
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2100
Last modified: 2022-03-07T08:26:44+00:00