is 2 1451893 - 1
has 437064 decimal digits
takes 0.055 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L498BC221AD8944F9double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26720.465668.6567 %500000150000000.07144.9289 %20.537170.2016 %
Target2600.105865.0000 %65004500000.00171.3969 %0.107565.4889 %
Difference+7+20.3599+3.6567 %+493500+14550000+0.0697+3.5320%+20.4296+4.7127 %

Known prime factors (1 factor, 65.7 bits, 0.00452444% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1451893595216893512802213532065.69020497960025732
22 × 7 × 83 × 4657 × 1893949
2010-08-02465718939495.02500.00600.0107

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-09-29Team Prime Ribv4_computers15000243750--0.0022.395%
2010-07-30Rob_Deetwopc100000200000--0.0072.978%
2010-07-31Rob_Deetwopc200000300000--0.0133.533%
2010-08-01Rob_Deetwopc20000010000006--0.0165.077%
2010-08-02Rob_Deetwopc2065.6900.0190.000%
2016-03-17alpertronManual testing5000001500000012
skipped known factor: 59521689351280221353
---9.444%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2003-07-30ANONYMOUSv4_computers212580.026
2022-03-09LordJuliusManual testing21260
2022-03-08LordJuliusManual testing258260
2010-05-08Architects Cubeda3_bu22602610.106


ECM factoring results:
Total ECM effort:30.808 GHz-days
Estimated T-Level:25.718
DigitsB1CompleteFacMiss
201100014.6540.000%
25500001.67418.740%
302500000.14486.623%
3510000000.01099.005%


ECM Summary

B1B2factorcurvesGHz-days
50000500000025113.77
250000400000005017.03


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-10ANONYMOUSv4_computers498BC221AD8944F90.055


PRP results:
dateuseridcompidcofactorsres64
2017-10-01Oliver KruseGTX-2
59521689351280221353
0408D4B0501E30DE
2017-10-27kkmrkkblmbrbkold
59521689351280221353
0408D4B0501E30DE


CERT results:
No CERT results for M1451893


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 200000, B2 = 1000000 (P-1 stage 2)
B1 = 200000, B2 = 300000 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 100000, B2 = 200000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 15000, B2 = 243750 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
TF factor-bounds graph:
261
260
258
this exponent TF target: 60
TF double-checked to: 67
ECM T-Level=25.72 ~= 69-bit
250
260
270
JSON version of this page
Last modified: 2024-02-09T03:30:02+00:00