is 2 2205187 - 1
has 663828 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
Actual26713.474667.1642%20000002420000001.43739.2676%14.911970.2073%3.0431%
PrimeNet2580.017462.0690%100001800000.00182.8643%0.019263.1554%1.0865%
GPU722620.278664.5161%110001700000.00191.6008%0.280565.0841%0.5680%
Difference+5+13.1960+2.6481%+1989000+241830000+1.4354+7.6668%+14.6314+5.1231%+5.1231%

Known prime factors (3 factors, 146.9 bits, 0.00666047% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2205187233749823927.80053
53
-1538.201e-123.654e-75.457e-7
2205187994031791160091446.49822538492
22 × 5634623
2014-02-13456346236.213e-60.02930.0547
220518770449070148414143504792272.5771597349117068397
7 × 11 × 20744793728161
2022-05-151120744793728161440.90107,754201,254

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
2205187232354755240044002164072374.299
2205187164674576777063897749412621521731100.377
220518770028615385190938517857041012571831136119.075
220518716369176451223458699752965675992406294410895345146.876
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-04-11T11:38:05alpertronManual testing5000001500000012-
skipped known factor: 233749823
skipped known factor: 99403179116009
--0.123--5.184%
2021-06-28T04:40:29Dylan Delgadolaptop-ryzen737001000000106000000-
skipped known factor: 233749823
skipped known factor: 99403179116009
--0.641--7.726%
2021-07-02T10:50:23Dylan Delgadolaptop-ryzen737002000000242000000-
skipped known factor: 233749823
skipped known factor: 99403179116009
--1.437--9.268%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2014-02-13T14:46:00TJAOIManual testing??46.498141.96175e-60.3124.22095e-6


ECM factoring results:

Old Calculation Method

Total ECM effort:1.526 GHz-days
Estimated T-Level:0.800
DigitsB1CurvesCompleteFacMiss
201100016 / 1000.16085.146%
255000016 / 2800.05794.436%

New Calculation Method

Total ECM effort:1.526 GHz-days
Estimated T-Level:0.800
DigitsB1CompleteFacMiss
20110000.64552.446%
25500000.06194.117%
302500000.00499.616%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.257
50000631985970.665
50000715000060.605


Lucas-Lehmer results:
No L-L results for M2205187


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-09T16:11:36Oliver KruseGTX-2
233749823
99403179116009
F5CEA9EBF196F2__no
2017-11-20T01:52:55kkmrkkblmbrbkc4.xlarge
233749823
99403179116009
F5CEA9EBF196F2__no
2022-05-15T23:56:48aperson12012_VP113
233749823
99403179116009
7044907014841414350479
32B2DEA287D312__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)
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TF factor-bounds graph:
267
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Last modified: 2022-07-06T08:54:15+00:00