is 2 1017721 - 1
has 306365 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-L2C0C85B8C989A892double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26729.196570.1493 %1000000011100000003.005411.7755 %32.201973.6643 %
Target2600.150966.6667 %4500850000.00040.5967 %0.151366.8656 %
Difference+7+29.0456+3.4826 %+9995500+1109915000+3.0050+11.1789%+32.0506+6.7988 %

Known prime factors (1 factor, 76.0 bits, 0.00747096% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1017721773330251414465867057512376.03437993234462807875
3 × 53 × 613 × 57917 × 2853701
2010-03-0357917285370115,0380.00900.0125

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-10-06ANONYMOUSv4_computers10000127500--0.0011.662%
2002-09-22Jossv4_computers1500015000--0.0010.687%
2002-09-29Jossv4_computers2500025000--0.0010.976%
2002-10-07Jossv4_computers2700027000--0.0011.025%
2003-11-08ANONYMOUSv4_computers15000198750--0.0012.119%
2003-11-16ANONYMOUSv4_computers2048204800--0.0010.943%
2003-12-13ANONYMOUSv4_computers15000198750--0.0012.119%
2010-02-18Rob_Deetwopc200000200000--0.0092.860%
2010-02-19Rob_Deetwopc400000500000--0.0174.055%
2010-02-20Rob_Deetwopc600000700000--0.0264.545%
2010-02-21Rob_Deetwopc800000900000--0.0354.928%
2010-02-22Rob_Deetwopc10000001100000--0.0435.244%
2010-02-23Rob_Deetwopc12000001300000--0.0525.512%
2010-02-24Rob_Deetwopc14000001500000--0.0605.747%
2010-02-25Rob_Deetwopc16000001700000--0.0695.956%
2010-02-26Rob_Deetwopc18000001900000--0.0786.144%
2010-02-27Rob_Deetwopc20000002100000--0.0866.315%
2010-02-28Rob_Deetwopc22000002300000--0.0956.471%
2010-03-01Rob_Deetwopc24000002500000--0.1036.616%
2010-03-02Rob_Deetwopc26000002700000--0.1126.751%
2010-03-03Rob_Deetwopc2376.0340.1210.000%
2016-03-17alpertronManual testing3000001000000012
skipped known factor: 77333025141446586705751
---8.124%
2021-07-02ViliamF3100000001110000000
skipped known factor: 77333025141446586705751
--2.59618.461%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-10-20ANONYMOUSv4_computers212570.019
2003-01-25ANONYMOUSv4_computers212580.038
2022-03-07LordJuliusManual testing258260
2022-04-12LordJuliusManual testing21261
2009-02-15Sturle Sundegaudi.ifi2602610.151
2022-04-12LordJuliusManual testing261262
2022-04-12LordJuliusManual testing262263
2022-04-12LordJuliusManual testing263264


ECM factoring results:
Total ECM effort:17.348 GHz-days
Estimated T-Level:25.658
DigitsB1CompleteFacMiss
201100014.8080.000%
25500001.62019.795%
302500000.13287.678%
3510000000.00999.129%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002819.68
25000025000000447.665


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-01-15ANONYMOUSv4_computers2C0C85B8C989A8920.030


PRP results:
dateuseridcompidcofactorsres64
2017-09-28Oliver KruseGTX-2
77333025141446586705751
4C39032C065423B1
2017-10-15Oliver KruseThreadripper-PC
77333025141446586705751
4C39032C065423B1
2017-12-28ATHec2-1xh
77333025141446586705751
4C39032C065423B1


CERT results:
No CERT results for M1017721


P-1 factor-bounds graph:
B1 = 10000000, B2 = 1110000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 2600000, B2 = 2700000 (P-1 stage 2)
B1 = 2600000 (P-1 stage 1)
B1 = 2400000, B2 = 2500000 (P-1 stage 2)
B1 = 2400000 (P-1 stage 1)
B1 = 2200000, B2 = 2300000 (P-1 stage 2)
B1 = 2200000 (P-1 stage 1)
B1 = 2000000, B2 = 2100000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 1800000, B2 = 1900000 (P-1 stage 2)
B1 = 1800000 (P-1 stage 1)
B1 = 1600000, B2 = 1700000 (P-1 stage 2)
B1 = 1600000 (P-1 stage 1)
B1 = 1400000, B2 = 1500000 (P-1 stage 2)
B1 = 1400000 (P-1 stage 1)
B1 = 1200000, B2 = 1300000 (P-1 stage 2)
B1 = 1200000 (P-1 stage 1)
B1 = 1000000, B2 = 1100000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 300000, B2 = 10000000 (P-1 stage 2)
B1 = 800000, B2 = 900000 (P-1 stage 2)
B1 = 800000 (P-1 stage 1)
B1 = 600000, B2 = 700000 (P-1 stage 2)
B1 = 600000 (P-1 stage 1)
B1 = 400000, B2 = 500000 (P-1 stage 2)
B1 = 400000 (P-1 stage 1)
B1 = 300000 (P-1 stage 1)
B1 = 200000 (P-1 stage 1)
B1 = 27000 (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 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
264
263
262
261
260
258
257
this exponent TF target: 60
TF double-checked to: 67
ECM T-Level=25.66 ~= 69-bit
250
260
270
280
JSON version of this page
Last modified: 2024-02-09T03:30:02+00:00