is 2 644353 - 1
has 193970 decimal digits
takes 0.010 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRPDE43EB5761ACF04Bverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual269185.281771.0145%64435301933059000.36637.4669%185.647973.1788%2.1643%
PrimeNet2400.000050.0000%60002400000.000420.9333%0.000460.4666%10.4666%
GPU722440.000054.5455%110004000000.000715.9421%0.000761.7919%7.2464%
Difference+25+185.2817+16.4690%+6432530+192905900+0.3656-8.4752%+185.6472+11.3870%+11.3870%

Known prime factors (1 factor, 97.8 bits, 0.01517909% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
6443532772099116879568289408664918393097.807215107178586859088838623
7 × 23 × 1336069432216516079743
2021-01-162313360694322165160797435.653e+101.604e+122.995e+12

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-12-07T00:00:00Alex Kruppav4_computers1000004000000---0.007--2.040%
2002-05-11T00:00:00ANONYMOUSv4_computers163841638400---0.002--0.899%
2002-07-06T00:00:00ANONYMOUSv4_computers327683276800---0.005--1.396%
2002-10-07T00:00:00ANONYMOUSv4_computers655366553600---0.009--2.025%
2003-05-26T00:00:00ANONYMOUSv4_computers13107213107200---0.018--2.779%
2011-07-10T12:45:00Jocelyn LaroucheManual testing352428352428---0.008--1.129%
2011-09-05T00:50:00Jocelyn LaroucheManual testing587381587381---0.013--1.443%
2012-06-19T02:42:00Jocelyn LaroucheManual testing644359644359---0.014--1.505%
2012-08-11T13:18:00Jocelyn LaroucheManual testing12887061288706---0.028--2.019%
2013-10-18T05:42:00David Campeaui5-2500k129500041440000---0.077--4.996%
2015-11-14T02:35:34Sid & AndySpeck644353019330590012---0.366--7.467%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-01-19T00:00:00ANONYMOUSv4_computers253254--0.002--
2022-03-07T09:02:07LordJuliusManual testing254255--0.004--
2001-04-15T00:00:00ANONYMOUSv4_computers21256--0.015--
2001-12-08T00:00:00ANONYMOUSv4_computers21257--0.030--
2003-10-31T00:00:00ANONYMOUSv4_computers21258--0.060--
2008-10-11T00:14:00Sturle Sundedanzi.ifi258259--0.060--
2008-10-11T00:57:00Sturle Sundedanzi.ifi259260--0.119--
2011-01-30T01:21:00Sid & AndyToy_Soldier_2260261--0.238--
2015-06-01T22:42:00lycornManual testing261262--0.477--
2015-10-18T09:12:57Gordon SpenceManual testing262263--1.523--
2015-10-18T09:12:57Gordon SpenceManual testing263264--3.047--
2017-06-26T04:34:57Smok_bmvManual testing264265--5.799--
2017-07-24T04:33:40Smok_bmvManual testing265266--11.60--
2017-10-03T04:37:00Smok_bmvManual testing266267--23.19--
2017-10-03T04:37:00Smok_bmvManual testing267268--46.39--
2018-04-20T04:31:46Smok_bmvManual testing268269--92.78--


ECM factoring results:

Old Calculation Method

Total ECM effort:10.001 GHz-days
Estimated T-Level:25.352
DigitsB1CurvesCompleteFacMiss
2011000407 / 1004.0701.673%
2550000407 / 2801.45423.313%
3025000045 / 6400.07093.205%

New Calculation Method

Total ECM effort:10.001 GHz-days
Estimated T-Level:25.352
DigitsB1CompleteFacMiss
201100015.4270.000%
25500001.59820.239%
302500000.12488.381%
3510000000.00899.219%


ECM Summary

B1B2factorcurvesGHz-days
5000050000003626.168
25000025000000423.578
2500002500000030.256


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2015-04-11T15:42:00MadPooManual testingC74B9C2C0C7EBA__0.010


PRP results:
dateuseridcompidcofactorsres64PRP
2021-01-16T16:46:22mrhlanai
277209911687956828940866491839
DE43EB5761ACF04Bno


P-1 factor-bounds graph:
B1 = 6443530, B2 = 193305900 (P-1 stage 2)
B1 = 6443530 (P-1 stage 1)
B1 = 1295000, B2 = 41440000 (P-1 stage 2)
B1 = 1295000 (P-1 stage 1)
B1 = 1288706 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 644359 (P-1 stage 1)
B1 = 587381 (P-1 stage 1)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 352428 (P-1 stage 1)
B1 = 100000, B2 = 4000000 (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 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 16384 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
TF factor-bounds graph:
269
268
267
266
265
264
263
262
261
260
259
258
257
256
255
254
250
260
270
280
290
2100
Last modified: 2022-03-07T09:02:07+00:00