is 2 298213 - 1
has 89772 decimal digits
takes 0.002 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L7EF0FCFFA881B6A2double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual268199.873572.0588%20400000020902603421701,176.250722.6366%1,376.124278.3838%6.3249%
Target2440.000056.8182%55001400000.000111.2337%0.000161.6691%4.8509%
Difference+24+199.8735+15.2406%+203994500+2090260202170+1,176.2505+11.4030%+1,376.1240+16.7147%+1.4740%

Known prime factors (1 factor, 136.8 bits, 0.04588452% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
29821315524624459896940733422077044733435171360942136.834260294226943442115759911154857994708
22 × 3 × 6701 × 207037 × 307693 × 51952613 × 978071702623
2022-12-24519526139780717026235.306e+11549.971,026.2

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-05-20T00:00:00ANONYMOUSv4_computers10000010000000---0.007--2.474%
2002-06-09T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.395%
2002-06-15T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.395%
2002-08-17T00:00:00ANONYMOUSv4_computers655366553600---0.004--2.026%
2003-03-16T00:00:00ANONYMOUSv4_computers13107213107200---0.009--2.784%
2003-12-13T00:00:00ANONYMOUSv4_computers26214426214400---0.017--3.657%
2006-01-15T00:00:00Jocelyn Larouchev4_computers298213298213---0.003--1.037%
2011-08-01T01:50:00Jocelyn LaroucheManual testing15949931594993---0.016--2.201%
2012-08-19T23:56:00markrManual testing12000000500000000---0.398--9.015%
2022-02-11T08:23:35lycorncolab_ES12000000507673516350---285.3--17.642%
2022-12-24T08:51:54Sid & AndyRocky204000000209026034217042136.8341,1760.0042,35322.637%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-24T00:00:00ANONYMOUSv4_computers252253--0.002--
2000-05-05T00:00:00ANONYMOUSv4_computers21254--0.008--
2022-03-07T06:11:58LordJuliusManual testing254255--0.008--
2001-03-05T00:00:00ANONYMOUSv4_computers21256--0.032--
2002-02-17T00:00:00ANONYMOUSv4_computers21257--0.064--
2004-02-07T00:00:00ANONYMOUSv4_computers21258--0.129--
2009-01-03T01:03:00Sturle Sundegolli.ifi258259--0.129--
2009-01-25T15:32:00Sturle Sundegaudi.ifi259260--0.258--
2013-06-11T23:11:00lycornasteroid260261--0.515--
2015-08-13T13:31:00NRManual testing261262--1.030--
2016-01-03T11:56:06Gordon SpenceManual testing262263--3.292--
2016-01-03T11:56:06Gordon SpenceManual testing263264--6.584--
2018-03-05T20:01:14BloodERazorManual testing264265--12.53--
2019-05-28T15:00:22Gordon SpenceManual testing265266--25.06--
2022-11-10T00:42:10LordJuliusManual testing266267--50.12--
2022-12-01T13:46:44Gordon SpenceManual testing267268--100.2--


ECM factoring results:
Total ECM effort:24.429 GHz-days
Estimated T-Level:29.860
DigitsB1CompleteFacMiss
201100064.0140.000%
25500009.2360.010%
302500000.97237.833%
3510000000.08092.320%
4030000000.00599.467%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002842.165
2500002500000058422.26


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-11-24T00:00:00KUNCEVO6v4_computers7EF0FCFFA881B6A20.002


PRP results:
dateuseridcompidcofactorsres64PRP
2022-12-25T20:45:02LordJuliusWhiteBox
155246244598969407334220770447334351713609
E4141F5EBEFEE824no
2022-12-25T20:46:31LordJuliusWhiteBox
155246244598969407334220770447334351713609
E4141F5EBEFEE824no


P-1 factor-bounds graph:
B1 = 204000000, B2 = 2090260342170 (P-1 stage 2)
B1 = 12000000, B2 = 507673516350 (P-1 stage 2)
B1 = 204000000 (P-1 stage 1)
B1 = 12000000, B2 = 500000000 (P-1 stage 2)
B1 = 12000000 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 1594993 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 298213 (P-1 stage 1)
B1 = 262144 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-12-25T20:46:31+00:00