is 2 221539 - 1
has 66690 decimal digits
takes 0.001 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
Actual267134.125073.1343 %30000000100708329922204,464.407323.2561 %4,598.532379.3822 %
Target2440.000059.0909 %40004500000.00029.3997 %0.000262.9362 %
Difference+23+134.1250+14.0434 %+29996000+10070832542220+4,464.4070+13.8564%+4,598.5320+16.4460 %

Known prime factors (3 factors, 245.9 bits, 0.11100166% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
221539112211488584010568332063.28325325448021344
25 × 791420250667
2003-06-173279142025066715.345350.82655.23
2215393424884466051470764032330872788.146772975518091954636437
32 × 11 × 23 × 16361 × 51361 × 403979561
2016-04-2251361403979561503,258,2220.17950.3345
221539276819750635944595762066495292994.48362476527978356992620276
22 × 3 × 13 × 41 × 181 × 5857 × 9214136303543
2020-09-30585792141363035431.872e+104,084.47,628.6

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-05-13ANONYMOUSv4_computers10000010000000--0.00524.678%
2002-06-02ANONYMOUSv4_computers32768327680012--0.00220.489%
2002-08-03ANONYMOUSv4_computers65536655360012--0.00323.105%
2003-02-24ANONYMOUSv4_computers1310721310720030--0.00725.676%
2021-06-18Oliver KruseOllaptop300000003000000000
skipped known factor: 342488446605147076403233087
--1.56143.774%
2022-03-08Oliver KruseThreadripper-PC3000000010070832992220
skipped known factor: 11221148858401056833
skipped known factor: 342488446605147076403233087
skipped known factor: 27681975063594459576206649529
--5,54762.849%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2003-06-17George Woltmanv4_computers??
63.283
20
1999-11-17ANONYMOUSv4_computers2522530.003
2000-04-19ANONYMOUSv4_computers212540.011
2022-03-07LordJuliusManual testing254255
2001-02-11ANONYMOUSv4_computers212560.043
2002-03-31ANONYMOUSv4_computers212570.087


ECM factoring results:
Total ECM effort:17.139 GHz-days
Estimated T-Level:29.039
DigitsB1CompleteFacMiss
201100053.3170.000%
25500007.6470.048%
302500000.80844.586%
3510000000.06793.551%
4030000000.00499.553%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002031.205
500005000000780.465
250000250000003058.677
2500002500000020.060
25000038500000210.737
2500001250000001005.995


Lucas-Lehmer results:
No L-L results for M221539


PRP results:
dateuseridcompidcofactorsres64
2017-09-22Oliver KruseOllaptopECB5EE91FB7F8A__
2017-10-12kkmrkkblmbrbkc4.xlarge
11221148858401056833
342488446605147076403233087
ECB5EE91FB7F8A87
2020-04-17Oliver KruseAddPrpType5
11221148858401056833
342488446605147076403233087
FADCEDFB0DBBECB2
2020-09-30M Millercruncher
11221148858401056833
342488446605147076403233087
27681975063594459576206649529
FADCEDFB0DBBECB2


CERT results:
dateuseridcompid
2020-09-30Ben Deloi-0ea87002132afd06f


P-1 factor-bounds graph:
B1 = 30000000, B2 = 10070832992220 (P-1 stage 2)
B1 = 30000000, B2 = 3000000000 (P-1 stage 2)
B1 = 30000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
TF factor-bounds graph:
257
256
255
254
253
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=29.04 ~= 80-bit
250
260
270
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290
2100
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Last modified: 2024-03-13T02:15:48+00:00