is 2 2116783 - 1
has 637216 decimal digits
takes 0.139 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
Actual26714.037367.1642%500000150000000.12305.1581%14.160368.8579%1.6937%
PrimeNet2580.018162.0690%90001600000.00162.6818%0.019863.0862%1.0172%
GPU722620.290264.5161%100001400000.00161.4537%0.291965.0319%0.5158%
Difference+5+13.7471+2.6481%+490000+14860000+0.1214+3.7045%+13.8684+3.8259%+3.8259%

Known prime factors (3 factors, 149.7 bits, 0.00707358% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
21167833338833365966711548.24678865745
5 × 72 × 321901
-493219012.671e-50.00170.0031
21167835742246184122971549.029135636156
22 × 32 × 3767671
2014-04-22937676715.227e-50.01960.0366
211678361839943304450471652.4571460705781
3 × 23 × 21169649
2014-08-0923211696490.00030.11000.2054

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
21167831917240315514479230754756632873097.275
2116783206473266054388873817776863853731100.704
2116783355100178466361519402654754295931101.486
2116783118562032412422126465889490764076838022888948946149.732
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-25T16:40:44alpertronManual testing5000001500000012-
skipped known factor: 333883336596671
skipped known factor: 574224618412297
--0.123--5.158%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2014-08-09T10:56:00ANONYMOUSManual testing??52.457162.33738e-50.3015.04681e-5
2014-04-22T10:31:00TJAOIManual testing??49.029151.68402e-50.3013.64209e-5


ECM factoring results:

Old Calculation Method

Total ECM effort:2.417 GHz-days
Estimated T-Level:1.350
DigitsB1CurvesCompleteFacMiss
201100027 / 1000.27076.234%
255000027 / 2800.09690.792%

New Calculation Method

Total ECM effort:2.417 GHz-days
Estimated T-Level:1.350
DigitsB1CompleteFacMiss
20110001.07234.244%
25500000.09990.588%
302500000.00699.376%


ECM Summary

B1B2factorcurvesGHz-days
500005000000131.107
50000545000070.618
50000694455970.691


Lucas-Lehmer results:
No L-L results for M2116783


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-07T05:34:41Oliver KruseGTX-3
333883336596671
574224618412297
6183994330445047
99F2C77C9CB04774no
2017-10-17T22:23:09Oliver KruseGTX-0
333883336596671
574224618412297
6183994330445047
E14892E81E3A2D__no
2017-11-17T19:27:04kkmrkkblmbrbkold
333883336596671
574224618412297
6183994330445047
E14892E81E3A2D__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
TF factor-bounds graph:
267
2
240
250
260
270
280
290
2100
Last modified: 2022-06-22T03:07:52+00:00