is 2 1688773 - 1
has 508372 decimal digits
takes 0.079 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
Actual26717.595068.6567%500000150000000.08805.0197%17.683070.2301%1.5733%
PrimeNet2570.011463.1579%80001300000.00102.7279%0.012464.1629%1.0050%
GPU722610.181965.5738%7000900000.00081.2568%0.182766.0064%0.4327%
Difference+6+17.4131+3.0829%+493000+14910000+0.0872+3.7629%+17.5003+4.2236%+4.2236%

Known prime factors (3 factors, 133.7 bits, 0.00791790% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1688773445836073928.732132
22 × 3 × 11
-4112.178e-112.990e-75.555e-7
168877348737988791032.1821443
3 × 13 × 37
2008-07-1513374.446e-109.764e-71.805e-6
168877382281171200501023215132272.8012436122889236772
22 × 33 × 431 × 52335715589
2018-02-2843152335715589920.84194.58363.42

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
168877321729153528051621671960.914
1688773366839142498720718227153933844931101.533
16887734010218799598089711842535698392732104.983
16887731787900201483586295429577710133713779867141133.715
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-17T19:18:45alpertronManual testing5000001500000012-
skipped known factor: 445836073
skipped known factor: 4873798879
--0.088--5.020%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-15T07:45:00J FeitsmaManual testing??32.182101.05822e-100.1732.30308e-10


ECM factoring results:

Old Calculation Method

Total ECM effort:15.622 GHz-days
Estimated T-Level:24.696
DigitsB1CurvesCompleteFacMiss
2011000263 / 1002.6307.113%
2550000263 / 2800.93939.025%

New Calculation Method

Total ECM effort:15.622 GHz-days
Estimated T-Level:24.696
DigitsB1CompleteFacMiss
20110008.4840.021%
25500000.76746.451%
302500000.04795.388%
3510000000.00299.784%


ECM Summary

B1B2factorcurvesGHz-days
50000500000026015.44
50000500000030.178


Lucas-Lehmer results:
No L-L results for M1688773


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-03T01:29:01Oliver KruseGTX-1
445836073
4873798879
72982953AB2006__no
2017-11-03T09:13:50ATHec2-1xf
445836073
4873798879
72982953AB2006__no
2018-03-07T08:07:54Oliver KruseGTX-7
445836073
4873798879
8228117120050102321513
C58B40652E6AD8__no
2018-03-07T20:40:11kkmrkkblmbrbkc5.xlarge
445836073
4873798879
8228117120050102321513
C58B40652E6AD8__no


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
1011
TF factor-bounds graph:
267
2
220
230
240
250
260
270
280
290
2100
Last modified: 2020-02-24T10:24:02+00:00