is 2 1003417 - 1
has 302059 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-L18A9192CE62C2F0Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26729.612770.1493 %1000000011100000003.005411.7621 %32.618173.6603 %
Target2600.153166.6667 %4500800000.00040.5775 %0.153466.8592 %
Difference+7+29.4597+3.4826 %+9995500+1109920000+3.0050+11.1846%+32.4647+6.8012 %

Known prime factors (2 factors, 162.5 bits, 0.01619369% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
100341736260858666758807911961.6531806868862435
5 × 7 × 13 × 3971140357
2009-10-131339711403570.30619.298317.367
1003417226459844773723604747199379039331100.8371128443332999757851158588
22 × 32 × 11 × 5657 × 70657 × 181219 × 39340463
2021-06-19181219393404631.279e+110.09950.1720

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2000-12-07ANONYMOUSv4_computers500001000000--0.0044.093%
2003-11-16ANONYMOUSv4_computers2048204800--0.0010.939%
2006-01-15Jossv4_computers6000060000--0.0031.625%
2006-01-15Jossv4_computers7800078000--0.0031.860%
2009-08-14BigBrother71310000002000000012--0.0879.985%
2016-03-17alpertronManual testing3000001000000012---8.111%
2021-06-19ViliamF3100000001110000000231100.8372.59618.443%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-06-03Jossv4_computers212570.019
2002-12-09ANONYMOUSv4_computers212580.038
2022-03-07LordJuliusManual testing258260
2009-02-20Sturle Sundezumthor.ifi2602610.153


ECM factoring results:
Total ECM effort:17.318 GHz-days
Estimated T-Level:25.654
DigitsB1CompleteFacMiss
201100014.6920.000%
25500001.60920.008%
302500000.13187.737%
3510000000.00999.133%


ECM Summary

B1B2factorcurvesGHz-days
10.084
5000050000002789.58
25000025000000447.651


Lucas-Lehmer results:
No L-L results for M1003417


PRP results:
dateuseridcompidcofactorsres64
2017-09-28Oliver KruseGTX-1
3626085866675880791
4FA03D9D4275F4E7
2017-10-15Oliver KruseGTX-0
3626085866675880791
4FA03D9D4275F4E7
2017-12-25ATHec2-1xh
3626085866675880791
4FA03D9D4275F4E7
2021-06-26Sébastien BROUCKEPortable_Seb
3626085866675880791
2264598447737236047471993790393
90F755DDD17E07B9
2021-06-28RichD0CoLab-1
3626085866675880791
2264598447737236047471993790393
90F755DDD17E07B9


CERT results:
dateuseridcompid
2021-06-28Ben Deloi-008df4d09b285792c


P-1 factor-bounds graph:
B1 = 10000000, B2 = 1110000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 1000000, B2 = 20000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 300000, B2 = 10000000 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
B1 = 50000, B2 = 1000000 (P-1 stage 2)
B1 = 78000 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
261
260
258
257
this exponent TF target: 60
TF double-checked to: 67
ECM T-Level=25.65 ~= 69-bit
250
260
270
280
290
2100
2110
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Last modified: 2024-02-09T03:30:02+00:00