is 2 2209993 - 1
has 665275 decimal digits
takes 0.145 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26713.445367.1642%500000150000000.12305.1849%13.568268.8667%1.7025%
PrimeNet2580.017462.0690%100001800000.00182.8655%0.019263.1559%1.0869%
GPU722620.278064.5161%110001700000.00191.6015%0.279965.0844%0.5683%
Difference+5+13.1673+2.6481%+489000+14830000+0.1211+3.5834%+13.2884+3.7823%+3.7823%

Known prime factors (2 factors, 113.6 bits, 0.00513817% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
220999313561887243671340.303306831
3 × 7 × 19 × 769
-197699.369e-85.707e-67.420e-6
2209993112360686560738935397832373.2512542105032928587
32 × 72 × 4349 × 1325456543
2022-05-20434913254565431,365.26.885112.859

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
22099931523822961758088572620926893599236135113.553
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-04-18T11:21:19alpertronManual testing5000001500000012-
skipped known factor: 1356188724367
--0.123--5.185%


Trial Factoring results:
No TF results for M2209993


ECM factoring results:

Old Calculation Method

Total ECM effort:1.660 GHz-days
Estimated T-Level:0.900
DigitsB1CurvesCompleteFacMiss
201100018 / 1000.18083.451%
255000018 / 2800.06493.763%

New Calculation Method

Total ECM effort:1.660 GHz-days
Estimated T-Level:0.900
DigitsB1CompleteFacMiss
20110000.71848.775%
25500000.06793.542%
302500000.00499.578%


ECM Summary

B1B2factorcurvesGHz-days
500005000000100.857
50000665000010.097
50000715000070.706


Lucas-Lehmer results:
No L-L results for M2209993


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-09T17:53:03Oliver KruseGTX-2
1356188724367
191E45DADCDA98__no
2017-11-20T09:41:58kkmrkkblmbrbkold
1356188724367
191E45DADCDA98__no
2022-05-20T03:41:35aperson12012_VP113
1356188724367
11236068656073893539783
3ED754DB246560A8no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (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:
267
240
250
260
270
280
290
2100
Last modified: 2022-07-21T15:03:59+00:00