is 2 381011 - 1
has 114696 decimal digits
takes 0.004 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26777.987071.6418 %100000042506392503.268710.1382 %81.255774.5168 %
Target2440.000056.8182 %700010000000.000912.7639 %0.000962.3299 %
Difference+23+77.9870+14.8236 %+993000+4249639250+3.2678-2.6258 %+81.2549+12.1869 %

Known prime factors (1 factor, 61.4 bits, 0.01610586% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
38101129698916615991625511961.3653897383096025
33 × 52 × 5773900883
2007-08-132757739008831.39004.42208.2591

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-12-22ANONYMOUSv4_computers2000200000--0.00010.600%
2002-01-08ANONYMOUSv4_computers4096409600--0.00013.436%
2002-01-15ANONYMOUSv4_computers4096409600--0.00013.436%
2002-01-28Jossv4_computers100001000000--0.00116.960%
2002-02-03ANONYMOUSv4_computers500001000000--0.00118.945%
2002-06-15ANONYMOUSv4_computers32768327680012--0.00321.568%
2002-08-24ANONYMOUSv4_computers65536655360012--0.00624.203%
2024-02-18Denial140i5-840010000004250639250--2.83343.531%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-11-24ANONYMOUSv4_computers2522530.002
2000-04-27ANONYMOUSv4_computers212540.006
2022-03-07LordJuliusManual testing254255
2001-03-17ANONYMOUSv4_computers212560.025
2002-01-28ANONYMOUSv4_computers212570.050
2004-01-18ANONYMOUSv4_computers212580.101


ECM factoring results:
Total ECM effort:10.518 GHz-days
Estimated T-Level:26.435
DigitsB1CompleteFacMiss
201100023.8990.000%
25500003.0284.840%
302500000.28775.049%
3510000000.02297.832%
4030000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002812.953
250000250000001447.565


Lucas-Lehmer results:
No L-L results for M381011


PRP results:
dateuseridcompidcofactorsres64
2017-09-23Oliver KruseOllaptop
2969891661599162551
9DB67D24807AB38C
2017-11-02kkmrkkblmbrbkc4.xlarge
2969891661599162551
9DB67D24807AB38C
2020-04-18Oliver KruseAddPrpType5
2969891661599162551
29DAC35D4BAA75BA


CERT results:
No CERT results for M381011


P-1 factor-bounds graph:
B1 = 1000000, B2 = 4250639250 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 50000, B2 = 1000000 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 10000, B2 = 1000000 (P-1 stage 2)
B1 = 50000 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 4096, B2 = 409600 (P-1 stage 2)
B1 = 2000, B2 = 200000 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
B1 = 4096 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
258
257
256
255
254
253
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=26.44 ~= 71-bit
250
260
270
280
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Last modified: 2024-03-13T02:15:48+00:00