is 2 1627723 - 1
has 489994 decimal digits
takes 0.073 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L9AAFB23D49358BB1double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26718.254968.6567 %500000150000000.08354.9975 %18.338470.2231 %
Target2610.188765.5738 %65003250000.00151.0902 %0.190365.9491 %
Difference+6+18.0662+3.0829 %+493500+14675000+0.0820+3.9073%+18.1482+4.2740 %

Known prime factors (2 factors, 150.4 bits, 0.00924046% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
162772346342040916605531024472271.9731423523563794501
3 × 13 × 47 × 409 × 1898798533
2008-04-274091898798533293.716.700312.514
16277234089678146360074235993292478.436125625740570111568
24 × 3 × 3217 × 564937 × 1440079
2019-10-14564937144007937,6090.03970.0745

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-03-17alpertronManual testing5000001500000012---8.753%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-04-05ANONYMOUSv4_computers212560.006
1999-01-17ANONYMOUSv4_computers212570.012
2003-06-30ANONYMOUSv4_computers212580.024


ECM factoring results:
Total ECM effort:80.422 GHz-days
Estimated T-Level:25.909
DigitsB1CompleteFacMiss
201100015.8270.000%
25500001.97313.903%
302500000.18283.374%
3510000000.01498.637%


ECM Summary

B1B2factorcurvesGHz-days
10.085
5000050000001417.919
5000050000001086.066
2500002102041095066.35


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-04-05ANONYMOUSv4_computers9AAFB23D49358BB10.073
1999-01-29ANONYMOUSv4_computers9AAFB23D49358BB10.073


PRP results:
dateuseridcompidcofactorsres64
2017-10-02Oliver KruseGTX-2
4634204091660553102447
F6EB17B612D683EF
2017-11-01ATHec2-1xh
4634204091660553102447
F6EB17B612D683EF
2019-10-16fre_gamesgpu
4634204091660553102447
408967814636007423599329
7618608F84DB8111
2019-10-16ATHec2-PRPCFDC
4634204091660553102447
408967814636007423599329
7618608F84DB8111


CERT results:
No CERT results for M1627723


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
101
102
103
104
105
106
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
258
257
256
this exponent TF target: 61
TF double-checked to: 67
ECM T-Level=25.91 ~= 69-bit
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280
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Last modified: 2024-03-03T02:29:32+00:00