is 2 1233709 - 1
has 371384 decimal digits
takes 0.038 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L01974EA6189BC0E0double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual271387.513070.4225%20000000020003008386904,854.471021.0647%5,241.984076.6529%6.2304%
Target2600.124565.0000%5000300000.00030.8311%0.124865.2909%0.2909%
Difference+11+387.3885+5.4225%+199995000+2000300808690+4,854.4707+20.2336%+5,241.8592+11.3621%+5.9395%

Known prime factors (1 factor, 139.0 bits, 0.01126734% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
123370969991417699603885744752312064840245495240142139.006283662588582898745752654443085201800
23 × 3 × 52 × 11 × 97 × 173 × 227 × 389 × 75679 × 192759563 × 1988261543
2023-01-1819275956319882615431.264e+1112.92117.444

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-10-07T00:00:00Jocelyn Larouchev4_computers10001000---4.44667e-5--0.002%
2002-12-25T00:00:00ANONYMOUSv4_computers20000395000---0.002--0.563%
2013-10-25T07:49:00David Campeaui5-2500k132500033125000---0.136--4.308%
2016-08-03T10:15:52Bruno Victal5820K-factoring25000006250000012---0.257--5.171%
2016-08-27T10:52:59Bruno VictalManual testing25000006250000012---0.257--5.171%
2018-05-01T11:52:40Jocelyn Larouchelow 4M123370912337090012---0.351--5.353%
2018-10-13T20:38:14Jocelyn Larouchelow 4M123370913570799012---0.381--5.433%
2022-05-29T15:29:01Sid & AndyBarrel_Of_Monkeys25000000128252050290---311.8--15.517%
2023-01-18T10:52:20krackerreflection200000000200030083869042139.0064,8540.0769,70921.065%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-11-14T00:00:00ANONYMOUSv4_computers21257--0.016--
2003-05-26T00:00:00ANONYMOUSv4_computers21258--0.031--
2016-02-23T16:28:25Mark RoseManual testing258260--0.093--
2009-02-17T20:52:00Sturle Sundefungo.ifi260261--0.124--
2012-09-14T10:24:00AxelssonManual testing261262--0.249--
2012-10-26T08:03:00dbaughManual testing262263--0.796--
2015-04-02T13:10:00omylistManual testing263264--1.591--
2015-04-06T10:49:00monstManual testing264265--3.029--
2015-09-20T20:58:00ramgeisManual testing265266--6.057--
2018-07-17T00:12:10ramgeisManual testing266267--12.11--
2018-07-17T00:12:10ramgeisManual testing267268--24.23--
2020-10-20T01:05:02krackerManual testing268269--48.46--
2020-10-20T20:39:08krackerManual testing269270--96.91--
2020-10-24T13:26:08krackerManual testing270271--193.8--


ECM factoring results:
Total ECM effort:18.551 GHz-days
Estimated T-Level:25.658
DigitsB1CompleteFacMiss
201100014.8080.000%
25500001.62019.795%
302500000.13287.678%
3510000000.00999.129%


ECM Summary

B1B2factorcurvesGHz-days
50000500000028110.40
25000025000000448.146


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2015-11-12T20:09:37MadPooManual testing01974EA6189BC0E00.038


PRP results:
dateuseridcompidcofactorsres64PRP
2023-01-18T17:50:56JackBlockHome_AMD_R5_4600H
699914176996038857447523120648402454952401
150D75639288826Ano


P-1 factor-bounds graph:
B1 = 200000000, B2 = 2000300838690 (P-1 stage 2)
B1 = 25000000, B2 = 128252050290 (P-1 stage 2)
B1 = 200000000 (P-1 stage 1)
B1 = 25000000 (P-1 stage 1)
B1 = 1233709, B2 = 135707990 (P-1 stage 2)
B1 = 1233709, B2 = 123370900 (P-1 stage 2)
B1 = 2500000, B2 = 62500000 (P-1 stage 2)
B1 = 1325000, B2 = 33125000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 1325000 (P-1 stage 1)
B1 = 1233709 (P-1 stage 1)
B1 = 20000, B2 = 395000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
B1 = 1000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2023-01-18T17:50:56+00:00