is 2 848297 - 1
has 255363 decimal digits
takes 0.021 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
Actual26735.027770.1493%131072131072000.02953.6207%35.057271.2301%1.0808%
PrimeNet2400.000050.0000%80003200000.000922.8266%0.000961.4133%11.4133%
GPU722440.000054.5455%140005500000.001517.5650%0.001562.5295%7.9841%
Difference+23+35.0277+15.6038%+117072+12557200+0.0279-13.9443%+35.0557+8.7005%+8.7005%

Known prime factors (1 factor, 66.7 bits, 0.00786043% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
8482971182011819079421951932166.68069669692282268
22 × 32 × 13 × 61 × 2440440391
2008-01-2361244044039126.5164.67538.7321

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-01-08T00:00:00ANONYMOUSv4_computers2000200000---0.000--0.207%
2002-02-10T00:00:00ANONYMOUSv4_computers4096409600---0.001--0.441%
2002-04-14T00:00:00ANONYMOUSv4_computers8192819200---0.002--0.794%
2002-05-18T00:00:00ANONYMOUSv4_computers163841638400---0.004--1.288%
2002-06-23T00:00:00ANONYMOUSv4_computers327683276800---0.007--1.930%
2002-12-09T00:00:00ANONYMOUSv4_computers655376553700---0.015--2.711%
2003-08-08T00:00:00ANONYMOUSv4_computers13107213107200---0.029--3.621%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-08-10T00:00:00ANONYMOUSv4_computers21255--0.006--
2001-01-14T00:00:00ANONYMOUSv4_computers21256--0.011--
2001-11-24T00:00:00ANONYMOUSv4_computers21257--0.023--
2003-09-09T00:00:00ANONYMOUSv4_computers21258--0.045--


ECM factoring results:

Old Calculation Method

Total ECM effort:13.953 GHz-days
Estimated T-Level:25.344
DigitsB1CurvesCompleteFacMiss
2011000324 / 1003.2403.853%
2550000324 / 2801.15731.373%
3025000044 / 6400.06993.351%

New Calculation Method

Total ECM effort:13.953 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100014.7690.000%
25500001.61619.866%
302500000.13187.697%
3510000000.00999.130%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002807.814
25000025000000446.139


Lucas-Lehmer results:
No L-L results for M848297


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-28T04:08:42Oliver KruseGTX-2
118201181907942195193
0934EBCA0426F5__no
2017-10-14T08:17:49Oliver KruseThreadripper0934EBCA0426F5__no
2017-12-18T09:34:49ATHxps
118201181907942195193
0934EBCA0426F5__no
2020-04-22T03:41:22Oliver KruseAddPrpType5
118201181907942195193
BE17E7C62F43E4__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
1010
TF factor-bounds graph:
267
258
257
256
255
250
260
270
280
290
2100
Last modified: 2020-04-22T03:41:22+00:00