is 2 1013321 - 1
has 305041 decimal digits
takes 0.030 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L7389611CB6B085A0double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual271471.793571.8310 %100000009600000002.65428.6908 %474.447774.2791 %
Target2600.151666.6667 %4500850000.00040.5960 %0.152066.8653 %
Difference+11+471.6420+5.1643 %+9995500+959915000+2.6538+8.0947%+474.2958+7.4137 %

Known prime factors (1 factor, 80.7 bits, 0.00795912% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
101332118988409891072520607318012580.651936939523165537900
22 × 52 × 23 × 809 × 503541421597
2016-04-24809503541421597306,5051,179.02,202.1

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-09-30ANONYMOUSv4_computers10000127500--0.0011.660%
2002-08-17Jossv4_computers1300013000--0.0010.617%
2002-08-17Jossv4_computers1400014000--0.0010.652%
2002-08-17Jossv4_computers1100011000--0.0000.542%
2002-08-17Jossv4_computers1500015000--0.0010.686%
2002-08-17Jossv4_computers1200012000--0.0010.580%
2002-09-22Jossv4_computers2600026000--0.0011.000%
2002-09-22Jossv4_computers2700027000--0.0011.024%
2002-10-07Jossv4_computers3276832768--0.0011.155%
2003-11-08ANONYMOUSv4_computers15000198750--0.0012.118%
2003-11-16eteov4_computers20000020000006--0.0135.711%
2003-11-16ANONYMOUSv4_computers2048204800--0.0010.941%
2003-12-13ANONYMOUSv4_computers15000198750--0.0012.118%
2010-12-14Rob_Deetwopc400000600000--0.0184.310%
2010-12-15Rob_Deetwopc600000800000--0.0264.746%
2010-12-16Rob_Deetwopc8000001000000--0.0355.094%
2010-12-17Rob_Deetwopc10000001200000--0.0435.385%
2010-12-18Rob_Deetwopc12000001400000--0.0525.636%
2010-12-19Rob_Deetwopc14000001600000--0.0615.857%
2010-12-20Rob_Deetwopc16000001800000--0.0696.054%
2010-12-21Rob_Deetwopc18000002000000--0.0786.233%
2010-12-22Rob_Deetwopc20000002200000--0.0866.396%
2010-12-23Rob_Deetwopc22000002400000--0.0956.547%
2010-12-24Rob_Deetwopc24000002600000--0.1046.686%
2010-12-25Rob_Deetwopc26000002800000--0.1126.816%
2010-12-26Rob_Deetwopc28000003000000--0.1216.938%
2010-12-27Rob_Deetwopc30000003200000--0.1297.053%
2010-12-28Rob_Deetwopc32000003400000--0.1387.161%
2010-12-29Rob_Deetwopc34000003600000--0.1477.264%
2010-12-30Rob_Deetwopc36000003800000--0.1557.361%
2010-12-31Rob_Deetwopc38000004000000--0.1647.454%
2011-01-01Rob_Deetwopc40000004200000--0.1727.543%
2011-01-02Rob_Deetwopc42000004400000--0.1817.628%
2011-01-03Rob_Deetwopc44000004600000--0.1907.709%
2011-01-04Rob_Deetwopc46000004800000--0.1987.787%
2011-01-05Rob_Deetwopc48000005000000--0.2077.863%
2011-01-06Rob_Deetwopc50000005100000--0.2157.896%
2021-06-28ViliamF310000000960000000--2.29218.189%


Trial Factoring results:
575859606162636465666768697071
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-10-13ANONYMOUSv4_computers212570.019
2003-01-09ANONYMOUSv4_computers212580.038
2016-02-23Mark RoseManual testing2582600.114
2009-02-14Sturle Sundegofy.ifi2602610.152
2010-11-10Michael CManual testing2612643.209
2013-05-29Never Odd Or EvenManual testing264270232.3
2014-04-01Never Odd Or EvenManual testing270271236.0


ECM factoring results:
Total ECM effort:17.242 GHz-days
Estimated T-Level:25.658
DigitsB1CompleteFacMiss
201100014.8080.000%
25500001.62019.795%
302500000.13287.678%
3510000000.00999.129%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002789.491
50000500000030.090
25000025000000447.661


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-01-08ANONYMOUSv4_computers7389611CB6B085A00.030
2011-02-15Rob_Deetwopc7389611CB6B085A00.030


PRP results:
dateuseridcompidcofactorsres64
2017-09-28Oliver KruseGTX-1
1898840989107252060731801
DF95F7A0CAA16180
2017-10-15Oliver KruseThreadripper-PC
1898840989107252060731801
DF95F7A0CAA16180
2017-12-27ATHec2-1xh
1898840989107252060731801
DF95F7A0CAA16180


CERT results:
No CERT results for M1013321


P-1 factor-bounds graph:
B1 = 10000000, B2 = 960000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 5000000, B2 = 5100000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 4800000, B2 = 5000000 (P-1 stage 2)
B1 = 4800000 (P-1 stage 1)
B1 = 4600000, B2 = 4800000 (P-1 stage 2)
B1 = 4600000 (P-1 stage 1)
B1 = 4400000, B2 = 4600000 (P-1 stage 2)
B1 = 4400000 (P-1 stage 1)
B1 = 4200000, B2 = 4400000 (P-1 stage 2)
B1 = 4200000 (P-1 stage 1)
B1 = 4000000, B2 = 4200000 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 3800000, B2 = 4000000 (P-1 stage 2)
B1 = 3800000 (P-1 stage 1)
B1 = 3600000, B2 = 3800000 (P-1 stage 2)
B1 = 3600000 (P-1 stage 1)
B1 = 3400000, B2 = 3600000 (P-1 stage 2)
B1 = 3400000 (P-1 stage 1)
B1 = 3200000, B2 = 3400000 (P-1 stage 2)
B1 = 3200000 (P-1 stage 1)
B1 = 3000000, B2 = 3200000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 2800000, B2 = 3000000 (P-1 stage 2)
B1 = 2800000 (P-1 stage 1)
B1 = 2600000, B2 = 2800000 (P-1 stage 2)
B1 = 2600000 (P-1 stage 1)
B1 = 2400000, B2 = 2600000 (P-1 stage 2)
B1 = 2400000 (P-1 stage 1)
B1 = 2200000, B2 = 2400000 (P-1 stage 2)
B1 = 2200000 (P-1 stage 1)
B1 = 2000000, B2 = 2200000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 1800000, B2 = 2000000 (P-1 stage 2)
B1 = 1800000 (P-1 stage 1)
B1 = 1600000, B2 = 1800000 (P-1 stage 2)
B1 = 1600000 (P-1 stage 1)
B1 = 1400000, B2 = 1600000 (P-1 stage 2)
B1 = 1400000 (P-1 stage 1)
B1 = 1200000, B2 = 1400000 (P-1 stage 2)
B1 = 1200000 (P-1 stage 1)
B1 = 1000000, B2 = 1200000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 800000, B2 = 1000000 (P-1 stage 2)
B1 = 800000 (P-1 stage 1)
B1 = 600000, B2 = 800000 (P-1 stage 2)
B1 = 600000 (P-1 stage 1)
B1 = 400000, B2 = 600000 (P-1 stage 2)
B1 = 400000 (P-1 stage 1)
B1 = 200000, B2 = 2000000 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 27000 (P-1 stage 1)
B1 = 26000 (P-1 stage 1)
B1 = 15000, B2 = 198750 (P-1 stage 2)
B1 = 10000, B2 = 127500 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
B1 = 14000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 13000 (P-1 stage 1)
B1 = 12000 (P-1 stage 1)
B1 = 11000 (P-1 stage 1)
B1 = 10000 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
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1010
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TF factor-bounds graph:
271
270
264
261
260
258
257
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