is 2 829627 - 1
has 249743 decimal digits
takes 0.017 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L0E9A12374ADB8BDBdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26735.816070.1493%1200000400000000.09606.0701%35.912071.9612%1.8120%
PrimeNet2400.000050.0000%80003200000.000722.7737%0.000761.3869%11.3869%
GPU722440.000054.5455%140005500000.001317.5221%0.001362.5101%7.9646%
Difference+23+35.8160+15.6038%+1186000+39450000+0.0947-11.4520%+35.9107+9.4512%+9.4512%

Known prime factors (2 factors, 178.1 bits, 0.02146651% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
82962743184810145828644322792271.8712602664218126257
3 × 19 × 45660775756601
2016-01-041945660775756601957.7072,044134,558
8296279455448681715050151041068533564132106.22156986143662845171089182660
22 × 5 × 13 × 271 × 433 × 5081 × 2383169 × 154253383
2014-04-0423831691542533831.822e+110.30860.4546

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
82962740833175616349017763139748470805953213626770202955
5839
54178.092
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-01-08T00:00:00ANONYMOUSv4_computers2000200000---0.000--0.206%
2002-02-10T00:00:00ANONYMOUSv4_computers4096409600---0.001--0.439%
2002-04-07T00:00:00ANONYMOUSv4_computers8192819200---0.002--0.790%
2002-04-07T00:00:00Jocelyn Larouchev4_computers10000120000---0.000--0.499%
2002-05-18T00:00:00ANONYMOUSv4_computers163841638400---0.003--1.283%
2002-06-09T00:00:00ANONYMOUSv4_computers327683276800---0.006--1.922%
2002-12-02T00:00:00ANONYMOUSv4_computers655376553700---0.012--2.702%
2003-07-30T00:00:00ANONYMOUSv4_computers13107213107200---0.024--3.609%
2008-11-16T22:53:00markrManual testing120000040000000---0.096--6.070%
2014-04-04T06:02:00mikrNWY12000004000000032106.2210.0960.0330.1926.070%
2016-03-17T18:52:29alpertronManual testing3000001000000012---0.024--3.967%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-08-01T00:00:00ANONYMOUSv4_computers21255--0.006--
2001-01-28T00:00:00ANONYMOUSv4_computers21256--0.012--
2001-10-20T00:00:00ANONYMOUSv4_computers21257--0.023--
2003-09-09T00:00:00ANONYMOUSv4_computers21258--0.046--
2008-10-12T13:35:00Sturle Sundemaugrim.ifi258259--0.046--
2008-10-12T14:10:00Sturle Sundemaugrim.ifi259260--0.093--
2010-05-27T02:20:00Architects Cubedm1_tt260261--0.185--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.487 GHz-days
Estimated T-Level:25.344
DigitsB1CurvesCompleteFacMiss
2011000325 / 1003.2503.815%
2550000325 / 2801.16131.261%
3025000044 / 6400.06993.351%

New Calculation Method

Total ECM effort:11.487 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100012.7310.000%
25500001.34925.941%
302500000.10889.793%
3510000000.00799.295%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002716.214
500005000000100.229
25000025000000445.044


Lucas-Lehmer results:
No L-L results for M829627


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-28T02:53:55Oliver KruseGTX-3
4318481014582864432279
94554486817150501510410685335641
4CFD10A9BDCB7B81no
2017-09-30T15:32:52alpertronManual testing
4318481014582864432279
94554486817150501510410685335641
4CFD10A9BDCB7B__no
2017-10-14T02:54:00Oliver KruseThreadripper4CFD10A9BDCB7B__no
2020-04-21T16:44:44Oliver KruseAddPrpType5
4318481014582864432279
94554486817150501510410685335641
E3D191E1FBFC9C__no


P-1 factor-bounds graph:
B1 = 1200000, B2 = 40000000 (P-1 stage 2)
B1 = 1200000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 300000, B2 = 10000000 (P-1 stage 2)
B1 = 65537, B2 = 6553700 (P-1 stage 2)
B1 = 300000 (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 = 65537 (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 = 10000, B2 = 120000 (P-1 stage 2)
B1 = 2000, B2 = 200000 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
B1 = 8192 (P-1 stage 1)
B1 = 4096 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2020-04-21T16:44:44+00:00