is 2 841879 - 1
has 253431 decimal digits
takes 0.020 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
Actual26735.294870.1493%131072131072000.02953.6168%35.324271.2289%1.0796%
PrimeNet2400.000050.0000%80003200000.000922.8086%0.000961.4043%11.4043%
GPU722440.000054.5455%140005500000.001517.5503%0.001562.5229%7.9774%
Difference+23+35.2948+15.6038%+117072+12557200+0.0279-13.9335%+35.3227+8.7060%+8.7060%

Known prime factors (1 factor, 61.6 bits, 0.00731307% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
84187934165353993775856331961.5672029113090704
24 × 7 × 43 × 421327469
2008-01-23434213274690.61480.80721.5075

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-01-08T00:00:00ANONYMOUSv4_computers2000200000---0.000--0.206%
2002-02-10T00:00:00ANONYMOUSv4_computers4096409600---0.001--0.440%
2002-04-07T00:00:00ANONYMOUSv4_computers8192819200---0.002--0.793%
2002-05-18T00:00:00ANONYMOUSv4_computers163841638400---0.004--1.286%
2002-06-15T00:00:00ANONYMOUSv4_computers327683276800---0.007--1.927%
2002-12-02T00:00:00ANONYMOUSv4_computers655376553700---0.015--2.708%
2003-08-08T00:00:00ANONYMOUSv4_computers13107213107200---0.029--3.617%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-08-10T00:00:00ANONYMOUSv4_computers21255--0.006--
2001-01-21T00:00:00ANONYMOUSv4_computers21256--0.011--
2001-10-25T00:00:00ANONYMOUSv4_computers21257--0.023--
2003-09-09T00:00:00ANONYMOUSv4_computers21258--0.046--


ECM factoring results:

Old Calculation Method

Total ECM effort:13.886 GHz-days
Estimated T-Level:25.344
DigitsB1CurvesCompleteFacMiss
2011000322 / 1003.2203.931%
2550000322 / 2801.15031.599%
3025000044 / 6400.06993.351%

New Calculation Method

Total ECM effort:13.886 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100014.6920.000%
25500001.60920.008%
302500000.13187.737%
3510000000.00999.133%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002787.752
25000025000000446.134


Lucas-Lehmer results:
No L-L results for M841879


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-28T03:42:20Oliver KruseGTX-0
3416535399377585633
68BEB225513848__no
2017-10-14T08:02:48Oliver KruseThreadripper68BEB225513848__no
2017-12-17T16:21:18ATHxps
3416535399377585633
68BEB225513848__no
2020-04-21T21:36:30Oliver KruseAddPrpType5
3416535399377585633
151152A52201B4__no


P-1 factor-bounds graph:
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65537, B2 = 6553700 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 65537 (P-1 stage 1)
B1 = 8192, B2 = 819200 (P-1 stage 2)
B1 = 32768 (P-1 stage 1)
B1 = 4096, B2 = 409600 (P-1 stage 2)
B1 = 16384 (P-1 stage 1)
B1 = 2000, B2 = 200000 (P-1 stage 2)
B1 = 8192 (P-1 stage 1)
B1 = 4096 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
267
258
257
256
255
250
260
270
280
290
2100
Last modified: 2020-04-21T21:36:30+00:00