is 2 2003191 - 1
has 603021 decimal digits
takes 0.132 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L01A925F1955F0DF3double-checked
PRPA35E88686DCB61FBverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272477.405170.8333%100000003500000002.71947.4393%480.124573.0031%2.1698%
PrimeNet2580.019263.7931%80001400000.00142.4796%0.020664.6909%0.8978%
GPU722620.306766.1290%80001100000.00131.2371%0.308066.5480%0.4190%
Difference+10+477.0984+4.7043%+9992000+349890000+2.7181+6.2022%+479.8166+6.4551%+6.4551%

Known prime factors (1 factor, 97.5 bits, 0.00486753% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
20031912250071023548512480196014301133097.50656162168848315324904016
24 × 3 × 653 × 907 × 1319 × 2657 × 563697119
2021-11-0426575636971193.092e+102.92825.4687

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-04-28T00:00:00Jocelyn Larouchev4_computers20002000---0.000--0.006%
2002-04-28T00:00:00Jocelyn Larouchev4_computers40004000---0.000--0.018%
2003-11-16T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.091%
2006-01-15T00:00:00Jocelyn Larouchev4_computers60006000---0.001--0.032%
2006-01-15T00:00:00Jocelyn Larouchev4_computers1000010000---0.001--0.059%
2007-04-07T00:00:00markrv4_computers1000002000000---0.019--1.428%
2010-11-23T00:51:00Jocelyn LaroucheManual testing200319200319---0.019--0.680%
2013-10-07T20:36:00David CampeauManual testing58000015080000---0.131--3.193%
2018-05-25T20:58:31Jocelyn Larouchelow 4M200319140063826---0.201--2.586%
2018-07-03T10:19:44Jocelyn Larouchelow 4M20031918012764012---0.597--5.099%
2018-12-03T01:31:28mikrMSI400000020000000012---1.399--6.341%
2020-09-30T19:26:55Bruno VictalManual testing10000000350000000---2.719--7.439%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-11-04T09:47:24mikrNitron30000000162000000012971P+1P-13097.50610.81


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-02T00:00:00ANONYMOUSv4_computers21258--0.019--
2016-02-23T16:29:03Mark RoseManual testing258260--0.058--
2009-01-02T23:26:00Sturle Sundeakerman.ifi260261--0.077--
2011-12-23T13:20:00Sebastian HornbostelManual testing261262--0.153--
2013-02-05T16:19:00dbaughManual testing262263--0.490--
2015-03-11T06:10:00BloodIceManual testing263264--0.980--
2015-03-11T06:10:00BloodIceManual testing264265--1.865--
2015-03-11T06:10:00BloodIceManual testing265266--3.730--
2015-03-11T06:10:00BloodIceManual testing266267--7.461--
2015-03-11T16:36:00BloodIceManual testing267268--14.92--
2015-08-23T20:39:00ramgeisManual testing268269--29.84--
2015-08-23T20:39:00ramgeisManual testing269270--59.69--
2015-12-18T09:42:56ramgeisManual testing270271--119.4--
2019-12-03T07:55:41mikrManual testing271272--238.7--


ECM factoring results:

Old Calculation Method

Total ECM effort:23.772 GHz-days
DigitsB1CurvesCompleteFacMiss
2011000281 / 1002.8105.936%
2550000281 / 2801.00436.591%

New Calculation Method

Total ECM effort:23.772 GHz-days
DigitsB1CompleteFacMiss
20110009.0650.012%
25500000.81944.077%
302500000.05095.080%
3510000000.00299.769%


ECM Summary

B1B2factorcurvesGHz-days
50000500000028123.77


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-01T00:00:00ANONYMOUSv4_computers01A925F1955F0DF30.132
1999-05-23T00:00:00carlo_baffav4_computers01A925F1955F0DF30.132
2015-10-29T03:39:37MadPooManual testing01A925F1955F0DF30.132


PRP results:
dateuseridcompidcofactorsres64PRP
2021-11-04T10:31:52SRJ2877LTOS
225007102354851248019601430113
A35E88686DCB61FBno


P-1 factor-bounds graph:
B1 = 30000000, B2 = 1620000000 (P+1 stage 2)
B1 = 30000000 (P+1 stage 1)
B1 = 10000000, B2 = 350000000 (P-1 stage 2)
B1 = 4000000, B2 = 200000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 2003191, B2 = 80127640 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 2003191, B2 = 4006382 (P-1 stage 2)
B1 = 2003191 (P-1 stage 1)
B1 = 580000, B2 = 15080000 (P-1 stage 2)
B1 = 580000 (P-1 stage 1)
B1 = 100000, B2 = 2000000 (P-1 stage 2)
B1 = 200319 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
B1 = 6000 (P-1 stage 1)
B1 = 4000 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-11-04T10:31:52+00:00