is 2 1034951 - 1
has 311552 decimal digits
takes 0.031 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LCBE60EA384727FE2double-checked
PRP03C18550068746C5PRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual271461.933371.8310 %2800000085350951840200.984714.9485 %662.917976.0418 %
Target2600.148466.6667 %4500900000.00040.6155 %0.148866.8718 %
Difference+11+461.7849+5.1643 %+27995500+85350861840+200.9843+14.3330%+662.7691+9.1700 %

Known prime factors:
No known factors for M1034951

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-01-22Jossv4_computers100010000--6.40000e-50.205%
2002-01-28Jossv4_computers100010000--6.40000e-50.205%
2002-05-11Jossv4_computers50005000--0.0000.273%
2011-12-31bcp19Toshiba-740Q2000001000000012--0.0327.801%
2012-01-22bcp19Toshiba-740Q20000010000000012--0.24210.834%
2014-07-18JossManual testing262016262016--0.0113.196%
2014-10-18JossManual testing324032324032--0.0143.468%
2015-10-16Bruno Victal5820K.ECM5000001500000012--0.0489.110%
2016-03-23JossManual testing10002031000203---5.097%
2016-03-28JossManual testing12002431200243---5.388%
2016-05-18Bruno Victal4790K-windows25000006250000012--0.21412.461%
2018-03-25JossManual testing122024312202430012--0.33513.079%
2018-10-21JossManual testing122024320699020012--0.53413.925%
2018-11-19JossManual testing1220243208025151--0.53713.933%
2021-01-11GdSManual testing634081131704056012--1.00015.902%
2022-05-21axnManual testing2800000085350951840--208.027.044%


Trial Factoring results:
575859606162636465666768697071
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-11-10ANONYMOUSv4_computers212570.019
2003-02-02ANONYMOUSv4_computers212580.037
2016-02-23Mark RoseManual testing2582600.111
2009-02-26Sturle Sundedanzi.ifi2602610.148
2010-11-08Michael CManual testing2612620.297
2010-12-04Michael CManual testing2622630.949
2012-12-30dbaughManual testing2632641.897
2013-04-07Never Odd Or EvenManual testing26426854.15
2013-06-14Never Odd Or EvenManual testing268270173.3
2014-04-01Never Odd Or EvenManual testing270271231.1


ECM factoring results:
Total ECM effort:17.290 GHz-days
Estimated T-Level:25.658
DigitsB1CompleteFacMiss
201100014.7970.000%
25500001.61919.805%
302500000.13287.678%
3510000000.00999.129%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002779.445
500001274659930.164
25000025000000447.681


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-02-10ANONYMOUSv4_computersCBE60EA384727FE20.031
2016-06-01MadPooManual testingCBE60EA384727FE20.031


PRP results:
dateuseridcompidcofactorsres64
2020-11-01Ethan O'ConnorManual testing03C18550068746C5


CERT results:
dateuseridcompid
2020-11-01curtiscgrn201--15l


P-1 factor-bounds graph:
B1 = 28000000, B2 = 85350951840 (P-1 stage 2)
B1 = 28000000 (P-1 stage 1)
B1 = 6340811, B2 = 317040560 (P-1 stage 2)
B1 = 1220243, B2 = 208025151 (P-1 stage 2)
B1 = 1220243, B2 = 206990200 (P-1 stage 2)
B1 = 1220243, B2 = 122024300 (P-1 stage 2)
B1 = 6340811 (P-1 stage 1)
B1 = 2500000, B2 = 62500000 (P-1 stage 2)
B1 = 200000, B2 = 100000000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 1220243 (P-1 stage 1)
B1 = 1200243 (P-1 stage 1)
B1 = 1000203 (P-1 stage 1)
B1 = 200000, B2 = 10000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 324032 (P-1 stage 1)
B1 = 262016 (P-1 stage 1)
B1 = 200000 (P-1 stage 1)
B1 = 5000 (P-1 stage 1)
B1 = 1000, B2 = 10000 (P-1 stage 2)
B1 = 1000 (P-1 stage 1)
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TF factor-bounds graph:
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this exponent TF target: 60
TF double-checked to: 67
ECM T-Level=25.66 ~= 69-bit
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Last modified: 2024-03-13T02:15:48+00:00