is 2 2843671 - 1
has 856031 decimal digits
takes 0.220 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LC533CECF441386E4double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual27084.028968.5714%1000000633907659038.784710.1067%122.813771.7478%
Target2630.561365.0794%1600013000000.00961.8282%0.570965.7178%
Difference+7+83.4677+3.4921%+984000+6337776590+38.7751+8.2785%+122.2428+6.0300%

Known prime factors (1 factor, 84.9 bits, 0.00298494% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2843671356441150132989567224166092684.8826267271251368206224
24 × 34 × 17 × 29 × 2203 × 4452583511		2023-09-18220344525835111,581,72927.16850.742

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-28ANONYMOUSv4_computers2048204800---0.001--0.158%
2008-10-28Jayson Kingatlas35000560000---0.007--1.047%
2011-01-24Jocelyn LaroucheManual testing5000050000---0.006--0.397%
2012-01-12Squeeky_SquirrelP4_26001950004875000---0.050--2.727%
2017-06-28Jocelyn Larouchelow 4M39000039000006---0.065--2.880%
2019-10-30masserManual testing28500002850000012---0.476--5.385%
2020-02-06masserManual testing500000020000000012---1.750--7.855%
2023-05-23Jocelyn LaroucheManual testing10000003034351320---18.62--9.366%
2023-09-18JossJoss100000063390765902684.88238.780.43977.5710.107%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23Mark RoseManual testing21260--0.054--
2009-02-13Sturle Sundegiacco.ifi260261--0.054--
2012-02-07Grant McCrackenthumper261262--0.108--
2013-01-07dbaughManual testing262263--0.345--
2015-04-21VictordeHollanderManual testing263264--0.690--
2015-04-21VictordeHollanderManual testing264265--1.314--
2016-02-14ramgeisManual testing265266--2.628--
2017-11-04Gordon SpenceManual testing266267--5.256--
2019-01-05chuenkitManual testing267268--10.51--
2021-07-15TJAOIManual testing268269--21.02--
2023-08-25TJAOIManual testing269270--42.05--


ECM factoring results:
Total ECM effort:15.703 GHz-days
Estimated T-Level:22.589
DigitsB1CompleteFacMiss
20110005.6130.365%
25500000.51859.580%
302500000.03396.786%
3510000000.00299.847%


ECM Summary

B1B2factorcurvesGHz-days
500005000070.417
50000500000012112.64
50000665000070.836
50000675000070.842
50000685000080.970


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-01-01Antti MerihaaraC533CECF441386E40.220
1999-08-22ANONYMOUSv4_computersC533CECF441386E40.220


PRP results:
dateuseridcompidcofactorsres64PRP
2023-09-19Naegi Makoto12500H
35644115013298956722416609
271DFFD8B09F62B9no


P-1 factor-bounds graph:
B1 = 1000000, B2 = 6339076590 (P-1 stage 2)
B1 = 1000000, B2 = 3034351320 (P-1 stage 2)
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 2850000, B2 = 28500000 (P-1 stage 2)
B1 = 2850000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 390000, B2 = 3900000 (P-1 stage 2)
B1 = 195000, B2 = 4875000 (P-1 stage 2)
B1 = 390000 (P-1 stage 1)
B1 = 195000 (P-1 stage 1)
B1 = 35000, B2 = 560000 (P-1 stage 2)
B1 = 50000 (P-1 stage 1)
B1 = 35000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
270
269
268
267
266
265
264
263
262
261
260
this exponent TF target: 63
TF double-checked to: 67.9
ECM T-Level=22.59 ~= 58-bit
250
260
270
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290
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Last modified: 2023-10-02T12:12:48+00:00