is 2 2209721 - 1
has 665193 decimal digits
takes 0.145 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
Actual26713.446967.1642 %20000002420000001.43739.2694 %14.884270.2079 %
Target2620.278064.5161 %110008500000.00541.6014 %0.283465.0844 %
Difference+5+13.1689+2.6481 %+1989000+241150000+1.4319+7.6680%+14.6008+5.1235 %

Known prime factors (2 factors, 51.9 bits, 0.00235017% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
220972117677769824.0754
22
-441.012e-123.813e-77.761e-7
2209721243069311927.85755
5 × 11
2008-07-145118.188e-125.079e-79.701e-7

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-04-18alpertronManual testing5000001500000012
skipped known factor: 17677769
skipped known factor: 243069311
---8.275%
2021-06-29Dylan Delgadolaptop-ryzen737001000000106000000
skipped known factor: 17677769
skipped known factor: 243069311
--0.64111.651%
2021-07-03Dylan Delgadolaptop-ryzen737002000000242000000
skipped known factor: 17677769
skipped known factor: 243069311
--1.43713.508%


Trial Factoring results:
5758596061626364656667
No TF results for M2209721


ECM factoring results:
Total ECM effort:8.018 GHz-days
Estimated T-Level:21.558
DigitsB1CompleteFacMiss
20110003.3433.533%
25500000.31273.224%
302500000.02098.036%


ECM Summary

B1B2factorcurvesGHz-days
10.062
500005000000100.857
50000675000070.686
500007050000505.006
50000707656370.702
50000712129970.704


Lucas-Lehmer results:
No L-L results for M2209721


PRP results:
dateuseridcompidcofactorsres64
2017-10-09Oliver KruseGTX-2
17677769
243069311
572AD941D024588A
2017-11-20kkmrkkblmbrbkc4.xlarge
17677769
243069311
572AD941D024588A


CERT results:
No CERT results for M2209721


P-1 factor-bounds graph:
B1 = 2000000, B2 = 242000000 (P-1 stage 2)
B1 = 1000000, B2 = 106000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=21.56 ~= 55-bit
250
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270
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Last modified: 2024-03-13T02:15:48+00:00