is 2 533641 - 1
has 160642 decimal digits
takes 0.008 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26755.681570.1493%1500000018150000002.390912.1256%58.072473.7688%3.6196%
PrimeNet2400.000050.0000%50001800000.000319.4096%0.000359.7048%9.7048%
GPU722440.000054.5455%90003000000.000514.6372%0.000561.1987%6.6533%
Difference+23+55.6815+15.6038%+14991000+1814700000+2.3904-2.5116%+58.0719+12.5701%+12.5701%

Known prime factors (1 factor, 77.8 bits, 0.01458110% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
5336412650723924192175003477772477.811248362094010034368
26 × 32 × 7 × 13 × 4738287813073
2007-09-20644738287813073111,5865,458.910,196

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-12-22T00:00:00ANONYMOUSv4_computers2000200000---0.000--0.180%
2002-01-22T00:00:00ANONYMOUSv4_computers4096409600---0.001--0.392%
2002-03-03T00:00:00ANONYMOUSv4_computers8192819200---0.001--0.716%
2002-04-28T00:00:00ANONYMOUSv4_computers163841638400---0.002--1.175%
2002-05-11T00:00:00ANONYMOUSv4_computers500001000000---0.002--1.526%
2002-06-23T00:00:00ANONYMOUSv4_computers327683276800---0.004--1.778%
2002-09-07T00:00:00ANONYMOUSv4_computers655366553600---0.009--2.521%
2003-05-04T00:00:00ANONYMOUSv4_computers13107213107200---0.018--3.392%
2016-03-16T12:40:27alpertronManual testing15000005000000012---0.088--6.143%
2021-08-25T06:44:15ViliamF3150000001815000000---2.391--12.126%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-03-22T00:00:00ANONYMOUSv4_computers253254--0.002--
2022-03-07T08:26:42LordJuliusManual 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:17.250 GHz-days
Estimated T-Level:26.125
DigitsB1CurvesCompleteFacMiss
2011000425 / 1004.2501.396%
2550000425 / 2801.51821.859%
30250000144 / 6400.22579.838%

New Calculation Method

Total ECM effort:17.250 GHz-days
Estimated T-Level:26.125
DigitsB1CompleteFacMiss
201100024.8080.000%
25500003.1354.351%
302500000.30074.050%
3510000000.02397.711%
4030000000.00199.851%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002814.530
25000025000000443.547
250000350000001009.173


Lucas-Lehmer results:
No L-L results for M533641


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-27T10:19:00Oliver KruseGTX-3
265072392419217500347777
67C7FDA425F6FB__no
2017-09-28T09:42:50Oliver KruseManual testing
265072392419217500347777
67C7FDA425F6FB__no
2017-11-07T07:13:41kkmrkkblmbrbkc4.xlarge
265072392419217500347777
67C7FDA425F6FB__no
2020-04-19T03:52:33Oliver KruseAddPrpType5
265072392419217500347777
A0C981D4B2E72D__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 = 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)
100
101
102
103
104
105
106
107
108
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
TF factor-bounds graph:
267
258
257
256
255
254
250
260
270
280
290
2100
Last modified: 2022-03-07T08:26:42+00:00