is 2 90679 - 1
has 27298 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LBA6A89824BD13519double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267327.682574.6269 %10000000007353040679985012,911.718128.8021 %13,239.400581.9349 %
Target2440.000061.3636 %900500000.00003.0744 %0.000062.5515 %
Difference+23+327.6824+13.2632 %+999999100+73530406749850+12,911.7181+25.7278%+13,239.4005+19.3834 %

Known prime factors (1 factor, 122.3 bits, 0.13488182% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
90679658907678420982785448226906493988924137122.30936331878297124074231532488585780
22 × 32 × 5 × 1038606293 × 8584076857 × 22639706821
2016-05-308584076857226397068212.068e+1230.12756.292

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-05-06ANONYMOUSv4_computers10000010000000--0.00222.908%
2001-08-18Alex Kruppav4_computers1000000100000000--0.02131.081%
2002-05-25ANONYMOUSv4_computers327683276800--0.00118.775%
2002-06-02ANONYMOUSv4_computers327683276800--0.00118.775%
2002-07-20ANONYMOUSv4_computers65536655360012--0.00121.353%
2003-02-02ANONYMOUSv4_computers1310721310720030--0.00323.896%
2003-05-11ANONYMOUSv4_computers104857610485760012--0.02231.243%
2003-06-23ANONYMOUSv4_computers209715220971520012--0.04333.582%
2003-08-31ANONYMOUSv4_computers419430441943040012--0.08635.862%
2003-12-13ANONYMOUSv4_computers838860883886080012--0.17338.078%
2004-01-18ANONYMOUSv4_computers16777216167772160012--0.34640.232%
2012-08-31LaurVpinch100000000200000000012--0.65640.596%
2022-06-19George WoltmanSkylakeX10000000001000000000--2.69935.793%
2022-07-05George WoltmanSkylakeX100000000073530406799850--15,17167.561%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-04-23nordisweet1640000000524000000027--1.091
2021-04-28nordisweet1640000000524000000065--1.091


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-10-29ANONYMOUSv4_computers2522530.007
2000-04-12ANONYMOUSv4_computers212540.026
2000-12-07ANONYMOUSv4_computers212560.106
2002-09-07ANONYMOUSv4_computers212570.212
2016-02-23LaurVManual testing2572590.635
2009-01-06Sturle Sundeiago.ifi2592600.847
2013-10-14lycornasteroid2602611.694
2015-04-23Sid & AndyWoody2612623.388
2015-12-04snme2pm1G426226310.83


ECM factoring results:
Total ECM effort:51.592 GHz-days
Estimated T-Level:33.572
DigitsB1CompleteFacMiss
2011000185.5000.000%
255000037.1000.000%
302500005.7370.322%
3510000000.71448.950%
4030000000.07392.971%
45110000000.00699.380%


ECM Summary

B1B2factorcurvesGHz-days
10000001000000001,05949.09
1000000100000000542.506


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2015-04-11MadPooManual testingBA6A89824BD135190.000


PRP results:
dateuseridcompidcofactorsres64
2017-09-20kkmrkkblmbrbkManual testing
6589076784209827854482269064939889241
D9AB35EDCAF8255B
2017-10-14kkmrkkblmbrbkManual testing
6589076784209827854482269064939889241
D9AB35EDCAF8255B
2017-11-06ATHec2-1xh
6589076784209827854482269064939889241
D9AB35EDCAF8255B
2020-04-17Oliver KruseAddPrpType5
6589076784209827854482269064939889241
CE7EF937A32356FC
2024-02-03Wentao HuangManual testing
6589076784209827854482269064939889241
CE7EF937A32356FC


CERT results:
No CERT results for M90679


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 73530406799850 (P-1 stage 2)
B1 = 1000000000 (P-1 stage 1)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 16777216, B2 = 1677721600 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 8388608, B2 = 838860800 (P-1 stage 2)
B1 = 4194304, B2 = 419430400 (P-1 stage 2)
B1 = 16777216 (P-1 stage 1)
B1 = 2097152, B2 = 209715200 (P-1 stage 2)
B1 = 8388608 (P-1 stage 1)
B1 = 1048576, B2 = 104857600 (P-1 stage 2)
B1 = 1000000, B2 = 100000000 (P-1 stage 2)
B1 = 4194304 (P-1 stage 1)
B1 = 2097152 (P-1 stage 1)
B1 = 1048576 (P-1 stage 1)
B1 = 1000000 (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 = 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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this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=33.57 ~= 95-bit
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Last modified: 2024-03-13T02:15:48+00:00