is 2 537781 - 1
has 161889 decimal digits
takes 0.008 GHz-days to do one PRP test
Last-known PrimeNet details:
0 L-L tests remaining
ResidueStatus
L-L6DFFBF1B2F5E4E31double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2632.967868.2540%1500000500000000.08768.6854%3.055476.9394%26.9394%
PrimeNet2400.000050.0000%50001800000.000319.4271%0.000369.4271%19.4271%
GPU722440.000054.5455%90003000000.000514.6511%0.000569.1966%14.6511%
Difference+19+2.9678+13.7085%+1491000+49700000+0.0871-5.9657%+3.0548+7.7428%+7.7428%

Known prime factors (1 factor, 126.7 bits, 0.02355232% known):
Remaining cofactor is not a probable-prime

GHz-days
exponentfactordigitsbits*kmin B1min B2date foundmin. TFmin. P-1normal P-1
53778113441084685673955338975532133981804956139126.660124968013798125587729722062828380
22 × 5 × 13 × 97 × 36263 × 221083 × 231643 × 683713 × 3902489
68371339024892013-10-083.540e+110.01820.0294

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-12-22T00:00:00ANONYMOUSv4_computers2000200000---0.000--0.426%
2002-01-22T00:00:00ANONYMOUSv4_computers4096409600---0.001--0.827%
2002-03-03T00:00:00ANONYMOUSv4_computers8192819200---0.001--1.386%
2002-04-28T00:00:00ANONYMOUSv4_computers163841638400---0.002--2.121%
2002-05-11T00:00:00ANONYMOUSv4_computers500001000000---0.002--2.574%
2002-06-23T00:00:00ANONYMOUSv4_computers327683276800---0.004--3.019%
2002-09-07T00:00:00ANONYMOUSv4_computers655366553600---0.009--4.063%
2003-05-04T00:00:00ANONYMOUSv4_computers13107213107200---0.018--5.237%
2011-06-12T13:03:00Jocelyn LaroucheManual testing400000400000---0.008--2.418%
2011-06-26T19:18:00Jocelyn LaroucheManual testing445531445531---0.009--2.527%
2011-07-26T07:33:00Jocelyn LaroucheManual testing742552742552---0.016--3.078%
2012-03-20T06:35:00c10ck3raleman10000001000000---0.021--3.426%
2012-07-14T15:56:00Jocelyn LaroucheManual testing10755621075562---0.023--3.514%
2013-10-08T10:29:00David Campeaui5-2500k15000005000000039126.6600.0880.0160.1758.685%
2016-03-16T12:41:28alpertronManual testing15000005000000012---0.088--8.685%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-03-22T00:00:00ANONYMOUSv4_computers253254--0.002--
2001-04-01T00:00:00ANONYMOUSv4_computers?256--0.018--
2002-01-02T00:00:00ANONYMOUSv4_computers?257--0.036--
2003-12-23T00:00:00ANONYMOUSv4_computers?258--0.071--


ECM factoring results:
ECM Summary

B1B2factorcurvesGHz-days
5000050000002814.533
2500002500000014411.61


Lucas-Lehmer results:
Exponent "537781" not found


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-27T10:25:31Oliver KruseGTX-0
134410846856739553389755321339818049561
388D1078D61FDD__no
2017-11-03T04:44:17kkmrkkblmbrbkc4.xlarge
134410846856739553389755321339818049561
388D1078D61FDD__no
2020-04-19T04:27:23Oliver KruseAddPrpType5
134410846856739553389755321339818049561
06857120ADAD9A__no


P-1 factor-bounds graph:
B1 = 1500000, B2 = 50000000 (stage 2)
B1 = 1500000 (stage 1)
B1 = 1075562 (stage 1)
B1 = 1000000 (stage 1)
B1 = 131072, B2 = 13107200 (stage 2)
B1 = 742552 (stage 1)
B1 = 445531 (stage 1)
B1 = 65536, B2 = 6553600 (stage 2)
B1 = 400000 (stage 1)
B1 = 32768, B2 = 3276800 (stage 2)
B1 = 131072 (stage 1)
B1 = 16384, B2 = 1638400 (stage 2)
B1 = 50000, B2 = 1000000 (stage 2)
B1 = 65536 (stage 1)
B1 = 8192, B2 = 819200 (stage 2)
B1 = 50000 (stage 1)
B1 = 32768 (stage 1)
B1 = 4096, B2 = 409600 (stage 2)
B1 = 16384 (stage 1)
B1 = 2000, B2 = 200000 (stage 2)
B1 = 8192 (stage 1)
B1 = 4096 (stage 1)
B1 = 2000 (stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
TF factor-bounds graph:
263
258
257
256
254
250
260
270
280
290
2100
2110
2120
2130
Last modified: 2020-11-27T10:31:39+00:00