is 2 2208053 - 1
has 664691 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
Actual26713.457167.1642%20000002420000001.43739.2687%14.894470.2076%3.0435%
PrimeNet2580.017462.0690%100001800000.00182.8650%0.019263.1557%1.0867%
GPU722620.278264.5161%110001700000.00191.6012%0.280165.0843%0.5682%
Difference+5+13.1788+2.6481%+1989000+241830000+1.4354+7.6676%+14.6143+5.1234%+5.1234%

Known prime factors (2 factors, 138.9 bits, 0.00629269% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
22080531278405824998338711856.82728948712395
5 × 172 × 3313 × 6047
-331360470.00460.00030.0006
220805352510662394173675442554172582.1191189071602768902636
22 × 7 × 47353 × 896814203029
2018-01-1647353896814203029785,0174,658.38,700.4

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
220805367129936679232837309091887020764289182920742138.946
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-04-15T10:52:29alpertronManual testing5000001500000012-
skipped known factor: 127840582499833871
--0.123--5.184%
2021-06-28T21:49:43Dylan Delgadolaptop-ryzen737001000000106000000-
skipped known factor: 127840582499833871
--0.641--7.727%
2021-07-03T02:48:58Dylan Delgadolaptop-ryzen737002000000242000000-
skipped known factor: 127840582499833871
--1.437--9.269%


Trial Factoring results:
No TF results for M2208053


ECM factoring results:

Old Calculation Method

Total ECM effort:1.705 GHz-days
Estimated T-Level:0.950
DigitsB1CurvesCompleteFacMiss
201100019 / 1000.19082.617%
255000019 / 2800.06893.428%

New Calculation Method

Total ECM effort:1.705 GHz-days
Estimated T-Level:0.950
DigitsB1CompleteFacMiss
20110000.75347.085%
25500000.06993.293%
302500000.00499.562%


ECM Summary

B1B2factorcurvesGHz-days
500005000000100.857
50000500000020.171
50000656714670.677


Lucas-Lehmer results:
No L-L results for M2208053


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-09T16:31:53Oliver KruseGTX-3
127840582499833871
AE983B46726F23__no
2017-11-20T04:06:00kkmrkkblmbrbkc4.xlarge
127840582499833871
AE983B46726F23__no
2018-01-21T19:54:31Oliver KruseGTX-0
127840582499833871
5251066239417367544255417
B01B417A5D1958__no
2018-01-22T04:54:55AdolfNorManual testing
127840582499833871
5251066239417367544255417
B01B417A5D1958__no
2018-01-23T04:58:35Chang Chia-Tcheexbpc13
127840582499833871
5251066239417367544255417
B01B417A5D1958__no


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)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
267
250
260
270
280
290
2100
Last modified: 2022-07-28T15:40:36+00:00