is 2 2297521 - 1
has 691623 decimal digits
takes 0.155 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L1872A18BA54AEE29double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26951.963368.1159%960000049498834770265.058915.8429%317.022273.1673%
Target2620.267464.5161%1200010000000.00641.7372%0.273865.1325%
Difference+7+51.6959+3.5998%+9588000+49497834770+265.0525+14.1057%+316.7484+8.0348%

Known prime factors (1 factor, 139.0 bits, 0.00604873% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
229752168294025327393018301899804155063033403219142138.971148625464854060133295625598536559695
3 × 5 × 72 × 29 × 41 × 463 × 208073 × 345811 × 3574037 × 1428332981
2023-08-25357403714283329816.540e+107.953914.237

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-08-08ANONYMOUSv4_computers2048204800---0.001--0.185%
2010-11-07Jocelyn LaroucheManual testing1500015000---0.001--0.167%
2010-11-15Jocelyn LaroucheManual testing2000020000---0.002--0.217%
2010-12-04Oscar Östlin7501175011---0.007--0.585%
2011-01-17Oscar Östlin900001755000---0.018--2.006%
2013-11-13c10ck3rManual testing50000010000000---0.100--3.956%
2021-11-21Aaron HavilandManual testing6000001800000012---0.152--4.544%
2022-11-07Jocelyn LaroucheManual testing7200003275510700---17.55--9.604%
2023-08-25Sid & AndyMagic_8_Ball96000004949883477042138.971265.10.310530.115.843%
2023-08-26JossJoss10000007088398590---37.92--10.822%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-11-07ANONYMOUSv4_computers21258--0.017--
2016-02-23Mark RoseManual testing258260--0.050--
2009-01-15Sturle Sundegonsha.ifi260261--0.067--
2012-05-12Sebastian HornbostelManual testing261262--0.134--
2013-12-06Jerry HallettManual testing262263--0.427--
2015-03-12VictordeHollanderManual testing263264--0.855--
2015-03-12VictordeHollanderManual testing264265--1.626--
2015-11-04ramgeisManual testing265266--3.253--
2017-05-27Gordon SpenceManual testing266267--6.505--
2019-04-01TJAOIManual testing267268--13.01--
2021-06-10TJAOIManual testing268269--26.02--


ECM factoring results:
Total ECM effort:18.161 GHz-days
Estimated T-Level:23.627
DigitsB1CompleteFacMiss
20110007.8370.040%
25500000.72548.412%
302500000.04695.524%
3510000000.00299.786%


ECM Summary

B1B2factorcurvesGHz-days
50000500000018116.01
50000663502970.703
500007000000141.444


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-11-07ANONYMOUSv4_computers1872A18BA54AEE290.155
1999-03-15ANONYMOUSv4_computers1872A18BA54AEE290.155
2018-04-30kkmrkkblmbrbkold1872A18BA54AEE290.155


PRP results:
dateuseridcompidcofactorsres64PRP
2023-08-26Naegi Makoto12500H
682940253273930183018998041550630334032191
C5F923DD60A08F95no


P-1 factor-bounds graph:
B1 = 9600000, B2 = 49498834770 (P-1 stage 2)
B1 = 1000000, B2 = 7088398590 (P-1 stage 2)
B1 = 720000, B2 = 3275510700 (P-1 stage 2)
B1 = 9600000 (P-1 stage 1)
B1 = 600000, B2 = 18000000 (P-1 stage 2)
B1 = 500000, B2 = 10000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 720000 (P-1 stage 1)
B1 = 600000 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 90000, B2 = 1755000 (P-1 stage 2)
B1 = 90000 (P-1 stage 1)
B1 = 75011 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
B1 = 15000 (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
1011
TF factor-bounds graph:
269
268
267
266
265
264
263
262
261
260
258
this exponent TF target: 62
TF double-checked to: 67.9
ECM T-Level=23.63 ~= 62-bit
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2110
2120
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2140
Last modified: 2023-09-25T11:53:03+00:00