is 2 252163 - 1
has 75909 decimal digits
takes 0.001 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L6D5C5E9008D06E__double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267117.836273.1343%30000000101202470268904,486.311423.4282%4,604.147579.4285%6.2941%
PrimeNet2400.000055.0000%2600700000.000114.2231%0.000161.4004%6.4004%
GPU722440.000059.0909%45001100000.000110.1737%0.000163.2529%4.1620%
Difference+23+117.8361+14.0434%+29995500+10120246916890+4,486.3113+13.2545%+4,604.1475+16.1756%+16.1756%

Known prime factors (2 factors, 146.0 bits, 0.05791887% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2521631655354546446051775272167.166328231054208201
738977 × 444169513
2007-08-17738977444169513123.510.20260.3677
2521635578634907162272363615532478.8841106156515262404152
23 × 3 × 157 × 293565954156689
2017-08-25157293565954156689372,661130,131243,049

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
2521639234618656533715520724055807457346112241943144146.050
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-12-07T00:00:00ANONYMOUSv4_computers950003800000---0.002--2.195%
2001-06-17T00:00:00ANONYMOUSv4_computers10000010000000---0.005--2.715%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.555%
2002-08-10T00:00:00ANONYMOUSv4_computers655366553600---0.003--2.236%
2003-03-07T00:00:00ANONYMOUSv4_computers13107213107200---0.007--3.046%
2003-11-08T00:00:00ANONYMOUSv4_computers26214426214400---0.014--3.972%
2021-06-04T03:07:23ViliamF3500000007150000000-
skipped known factor: 165535454644605177527
--3.554--14.150%
2021-08-22T14:25:19Oliver KruseOllaptop30000000300000000024-
skipped known factor: 165535454644605177527
--1.561--12.576%
2022-04-21T20:51:35Oliver KruseThreadripper-PC3000000010120247026890-
skipped known factor: 165535454644605177527
--4,486--23.428%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-24T00:00:00ANONYMOUSv4_computers252253--0.002--
2000-04-27T00:00:00ANONYMOUSv4_computers21254--0.010--
2000-12-07T00:00:00ANONYMOUSv4_computers21255--0.019--
2001-02-18T00:00:00ANONYMOUSv4_computers21256--0.038--
2002-03-16T00:00:00ANONYMOUSv4_computers21257--0.076--
2004-02-14T00:00:00ANONYMOUSv4_computers21258--0.152--


ECM factoring results:

Old Calculation Method

Total ECM effort:15.900 GHz-days
Estimated T-Level:27.648
DigitsB1CurvesCompleteFacMiss
2011000620 / 1006.2000.197%
2550000620 / 2802.21410.880%
30250000339 / 6400.53058.855%

New Calculation Method

Total ECM effort:15.900 GHz-days
Estimated T-Level:27.648
DigitsB1CompleteFacMiss
201100045.2260.000%
25500006.3930.167%
302500000.66951.218%
3510000000.05594.657%
4030000000.00499.632%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002811.680
250000250000002116.309
2500002500000070.209
25000037626580140.489
2500003850000070.247
2500001250000001006.965


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-09-30T00:00:00ANONYMOUSv4_computers6D5C5E9008D06E__0.001


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T07:23:21Oliver KruseDoppelherz
165535454644605177527
557863490716227236361553
05503CBD41E9CDF3no
2017-09-22T10:03:04Oliver KruseManual testing
165535454644605177527
557863490716227236361553
05503CBD41E9CDF3no
2017-09-28T13:10:07alpertronManual testing
165535454644605177527
557863490716227236361553
05503CBD41E9CD__no
2017-12-07T04:49:37ATHxps
165535454644605177527
557863490716227236361553
05503CBD41E9CD__no
2020-04-17T20:15:13Oliver KruseAddPrpType5
165535454644605177527
557863490716227236361553
921771F936405C__no


P-1 factor-bounds graph:
B1 = 30000000, B2 = 10120247026890 (P-1 stage 2)
B1 = 50000000, B2 = 7150000000 (P-1 stage 2)
B1 = 30000000, B2 = 3000000000 (P-1 stage 2)
B1 = 50000000 (P-1 stage 1)
B1 = 30000000 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 95000, B2 = 3800000 (P-1 stage 2)
B1 = 262144 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 95000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
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TF factor-bounds graph:
267
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256
255
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2100
Last modified: 2022-04-21T20:51:35+00:00