is 2 2201669 - 1
has 662769 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
Actual26713.496167.1642%20000002420000001.43739.2662%14.933470.2068%3.0426%
PrimeNet2580.017462.0690%100001800000.00182.8635%0.019363.1551%1.0861%
GPU722620.279064.5161%110001700000.00191.6003%0.280965.0840%0.5678%
Difference+5+13.2170+2.6481%+1989000+241830000+1.4354+7.6659%+14.6525+5.1228%+5.1228%

Known prime factors (3 factors, 159.3 bits, 0.00723463% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2201669281813633928.07064
26
-64641.647e-116.102e-61.242e-5
220166919247217426665638791960.739437105155831
103 × 229 × 18531613
2016-03-02229185316130.11100.09630.1798
220166916388140068672558264172270.473372175383054232
23 × 67 × 694357057937
2022-05-1267694357057937166.183,606.76,736.2

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
22016695424128268149554743675624072788.810
22016694618401290865483131829921429613098.543
2201669315426095120391881835794854015586619154340131.212
220166988891373808881208603852057252837103770060670571948159.283
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-04-06T11:28:47alpertronManual testing5000001500000012-
skipped known factor: 281813633
--0.123--5.183%
2021-06-27T20:32:08Dylan Delgadolaptop-ryzen737001000000103000000-
skipped known factor: 281813633
skipped known factor: 1924721742666563879
--0.625--7.693%
2021-07-01T18:25:37Dylan Delgadolaptop-ryzen737002000000242000000-
skipped known factor: 281813633
skipped known factor: 1924721742666563879
--1.437--9.266%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-03-02T12:15:46TJAOIManual testing260261*60.739190.0410.2940.084


ECM factoring results:

Old Calculation Method

Total ECM effort:1.726 GHz-days
Estimated T-Level:0.900
DigitsB1CurvesCompleteFacMiss
201100018 / 1000.18083.451%
255000018 / 2800.06493.763%

New Calculation Method

Total ECM effort:1.726 GHz-days
Estimated T-Level:0.900
DigitsB1CompleteFacMiss
20110000.74047.693%
25500000.06893.385%
302500000.00499.566%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.257
50000650000010.096
50000663908470.680
50000690000070.693


Lucas-Lehmer results:
No L-L results for M2201669


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-09T14:58:20Oliver KruseGTX-3
281813633
1924721742666563879
7FF273B1CD3DCC__no
2017-11-19T23:20:43kkmrkkblmbrbkc4.xlarge
281813633
1924721742666563879
7FF273B1CD3DCC__no
2022-05-12T03:19:59aperson12012_VP113
281813633
1924721742666563879
1638814006867255826417
618E407AA862EAF6no


P-1 factor-bounds graph:
B1 = 2000000, B2 = 242000000 (P-1 stage 2)
B1 = 1000000, B2 = 103000000 (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:
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Last modified: 2022-07-15T15:19:46+00:00