is 2 199777 - 1
has 60139 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
Actual267148.735473.1343%10000000020000000001.360712.3297%150.096276.4468%
Target2440.000059.0909%36004000000.00028.8638%0.000262.7170%
Difference+23+148.7354+14.0434%+99996400+1999600000+1.3606+3.4660%+150.0960+13.7298%

Known prime factors (3 factors, 163.3 bits, 0.08174909% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
19977737193283198011341.7589308700
22 × 32 × 52 × 10343
-25103432.742e-63.926e-67.036e-6
1997774809080226105371548.7731203612084
22 × 32 × 79 × 97 × 4363
2008-08-269743630.00022.203e-62.968e-6
19977781367515216695123013112272.78520364585316802015
5 × 17 × 19 × 750131 × 16809931
2015-01-02750131168099318,118.80.01090.0114

4 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2017-10-13kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 3719328319801
skipped known factor: 480908022610537
skipped known factor: 8136751521669512301311
--1.361--12.330%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-08-26ANONYMOUSManual testing??48.773151.80384e-50.0023.70932e-5


ECM factoring results:
Total ECM effort:14.198 GHz-days
Estimated T-Level:29.261
DigitsB1CompleteFacMiss
201100056.2530.000%
25500008.0720.031%
302500000.85242.646%
3510000000.07193.178%
4030000000.00599.523%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002561.249
500005000000250.122
250000250000004039.83
25000027250000210.528
2500003600000070.196
25000038500000421.208
25000036753717020.269
50000074000000140.792


Lucas-Lehmer results:
No L-L results for M199777


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22Oliver KruseDoppelherz
3719328319801
480908022610537
8136751521669512301311
6DF3F2D7849D27BFno
2017-09-22Oliver KruseManual testing
3719328319801
480908022610537
8136751521669512301311
6DF3F2D7849D27BFno
2017-09-22Oliver KruseManual testing
3719328319801
480908022610537
8136751521669512301311
6DF3F2D7849D27BFno
2017-11-06kkmrkkblmbrbkc4.xlarge
3719328319801
480908022610537
8136751521669512301311
6DF3F2D7849D27__no
2020-04-17Oliver KruseAddPrpType5
3719328319801
480908022610537
8136751521669512301311
6A9FDEDF670EE0__no
2023-08-24USAFSS6917th_Scty_Sq
3719328319801
480908022610537
8136751521669512301311
6A9FDEDF670EE09Bno


P-1 factor-bounds graph:
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
100
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
2
this exponent TF target: 44
TF double-checked to: 67.9
ECM T-Level=29.26 ~= 81-bit
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Last modified: 2023-10-02T12:12:48+00:00