is 2 1341103 - 1
has 403713 decimal digits
takes 0.051 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LAD123C24BEEA952Ddouble-checked
PRP28582641148588__PRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26844.444769.1176%75599703355318604114.674714.0906%59.119373.4692%4.3515%
PrimeNet2560.007262.5000%60001000000.00062.6096%0.007863.4786%0.9786%
GPU722600.114565.0000%5500400000.00040.9802%0.114965.3431%0.3431%
Difference+8+44.3301+4.1176%+75594203+3553146041+14.6742+13.1105%+59.0044+8.1261%+4.0085%

Known prime factors (1 factor, 86.9 bits, 0.00648103% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
13411031461232735490848878003268012786.91754478766190622527800
23 × 52 × 1093 × 249216679737523
2021-08-27109324921667973752312,191,375751,7031,403,972

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-09-21T00:00:00Team Prime Ribv4_computers15000217500---0.001--0.680%
2013-08-25T13:48:00David Campeaui5-2500k135000039150000---0.189--5.900%
2016-08-11T07:09:47Bruno Victal5820K-factoring25000006250000012---0.319--6.753%
2016-08-27T10:53:26Bruno VictalManual testing25000006250000012---0.319--6.753%
2018-05-19T20:47:02Jocelyn Larouchelow 4M134110313411030012---0.475--7.184%
2018-10-13T20:38:47Jocelyn Larouchelow 4M134110314752133012---0.515--7.285%
2019-11-03T12:23:46mnd9f3b75599703355318604112---14.67--14.091%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-11-04T00:00:00ANONYMOUSv4_computers21257--0.014--
2003-06-23T00:00:00ANONYMOUSv4_computers21258--0.029--
2016-02-23T16:28:27Mark RoseManual testing258260--0.086--
2009-02-21T17:16:00Sturle Sundeghirardelli.ifi260261--0.115--
2012-09-16T22:28:00AxelssonManual testing261262--0.229--
2013-01-14T11:53:00dbaughManual testing262263--0.732--
2015-04-13T05:03:00snme2pm1Manual testing263264--1.464--
2015-04-13T05:03:00snme2pm1Manual testing264265--2.786--
2015-09-16T10:09:00ramgeisManual testing265266--5.572--
2018-08-18T14:37:19YxinityManual testing266267--11.14--
2018-08-16T21:57:10BloodERazorManual testing266267--11.14--
2020-02-23T20:21:28Gordon SpenceManual testing267268--22.29--


ECM factoring results:
Total ECM effort:25.314 GHz-days
Estimated T-Level:25.707
DigitsB1CompleteFacMiss
201100014.7690.000%
25500001.66118.986%
302500000.14186.808%
3510000000.01099.018%


ECM Summary

B1B2factorcurvesGHz-days
50000500000025411.87
2500003500000030.807
250000350000004712.64


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2016-06-02T10:51:00MadPooManual testingAD123C24BEEA952D0.051


PRP results:
dateuseridcompidcofactorsres64PRP
2020-11-06T11:31:14Ethan O'ConnorHighland202028582641148588__no
2021-08-27T11:52:29SRJ2877LTOS
146123273549084887800326801
2858264114858834no
2021-08-27T13:15:39JackBlockWin10
146123273549084887800326801
2858264114858834no


P-1 factor-bounds graph:
B1 = 75599703, B2 = 3553186041 (P-1 stage 2)
B1 = 75599703 (P-1 stage 1)
B1 = 1341103, B2 = 147521330 (P-1 stage 2)
B1 = 1341103, B2 = 134110300 (P-1 stage 2)
B1 = 2500000, B2 = 62500000 (P-1 stage 2)
B1 = 1350000, B2 = 39150000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 1350000 (P-1 stage 1)
B1 = 1341103 (P-1 stage 1)
B1 = 15000, B2 = 217500 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-08-27T13:15:39+00:00