is 2 693421 - 1
has 208741 decimal digits
takes 0.014 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
1 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRPE4D0B08C0294B8__verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26742.851270.1493%100000002000000000.58949.0567%43.440672.8527%2.7035%
PrimeNet2400.000050.0000%65002600000.000621.4515%0.000660.7258%10.7258%
GPU722440.000054.5455%120004500000.001016.4822%0.001062.0374%7.4919%
Difference+23+42.8512+15.6038%+9988000+199550000+0.5883-7.4256%+43.4395+10.8154%+10.8154%

Known prime factors (1 factor, 85.5 bits, 0.01232372% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
693421530383150681984976754020412685.45538243949251752180620
22 × 32 × 5 × 2621 × 72797 × 1113550007
2021-04-1772797111355000722,013,2071.75903.2815

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-01-02T00:00:00ANONYMOUSv4_computers2000200000---0.000--0.195%
2002-01-28T00:00:00ANONYMOUSv4_computers4096409600---0.001--0.419%
2002-03-16T00:00:00ANONYMOUSv4_computers8192819200---0.002--0.759%
2002-05-05T00:00:00ANONYMOUSv4_computers163841638400---0.003--1.238%
2002-07-14T00:00:00ANONYMOUSv4_computers327683276800---0.006--1.862%
2002-10-26T00:00:00ANONYMOUSv4_computers655366553600---0.012--2.627%
2003-06-30T00:00:00ANONYMOUSv4_computers13107213107200---0.024--3.520%
2011-07-19T21:09:00Jocelyn LaroucheManual testing320438320438---0.009--1.403%
2012-02-17T11:12:00Jocelyn LaroucheManual testing534063534063---0.015--1.774%
2012-06-07T12:02:00alpertronManual testing10000000200000000---0.589--9.057%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-02-16T00:00:00ANONYMOUSv4_computers253254--0.002--
2022-03-07T09:21:23LordJuliusManual testing254255--0.003--
2001-04-08T00:00:00ANONYMOUSv4_computers21256--0.014--
2001-12-22T00:00:00ANONYMOUSv4_computers21257--0.028--
2003-10-08T00:00:00ANONYMOUSv4_computers21258--0.055--
2008-10-12T08:56:00Sturle Sundehindemith.ifi258259--0.055--
2008-10-12T09:34:00Sturle Sundehindemith.ifi259260--0.111--
2010-11-20T10:16:00Sid & AndyBuzz260261--0.221--
2015-04-16T09:23:00lycornManual testing261262--0.443--
2015-11-03T14:18:43Gordon SpenceManual testing262263--1.416--
2015-11-03T14:18:43Gordon SpenceManual testing263264--2.831--
2017-01-23T15:04:42ConductorManual testing264265--5.388--
2017-08-18T09:30:43Smok_bmvManual testing265266--10.78--
2020-01-09T22:02:08Gordon SpenceManual testing266267--21.55--


ECM factoring results:

Old Calculation Method

Total ECM effort:12.701 GHz-days
Estimated T-Level:25.375
DigitsB1CurvesCompleteFacMiss
2011000335 / 1003.3503.450%
2550000335 / 2801.19630.163%
3025000048 / 6400.07592.769%

New Calculation Method

Total ECM effort:12.701 GHz-days
Estimated T-Level:25.375
DigitsB1CompleteFacMiss
201100013.2960.000%
25500001.42424.069%
302500000.11589.128%
3510000000.00899.237%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002876.468
25000025000000384.282
2500002500000050.563
25000012899251051.388


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2015-04-11T15:44:00MadPooManual testingA039F319EFB063__0.014


PRP results:
dateuseridcompidcofactorsres64PRP
2021-04-17T03:54:11mikrNitron
53038315068198497675402041
E4D0B08C0294B8__no


P-1 factor-bounds graph:
B1 = 10000000, B2 = 200000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 534063 (P-1 stage 1)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 320438 (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 = 65536 (P-1 stage 1)
B1 = 8192, B2 = 819200 (P-1 stage 2)
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)
102
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104
105
106
107
102
103
104
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109
1010
TF factor-bounds graph:
267
266
265
264
263
262
261
260
259
258
257
256
255
254
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2100
Last modified: 2022-03-07T09:21:23+00:00