is 2 4417321 - 1
has 1329747 decimal digits
takes 0.551 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L28B0ACB64FCD35DDdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26813.493466.1765%1800000680000000.97787.5415%14.471268.7273%2.5508%
PrimeNet2610.069562.2951%180003600000.00662.9395%0.076263.4034%1.1083%
GPU722651.651664.6154%260005000000.00942.0332%1.661065.3348%0.7194%
Difference+3+11.8418+1.5611%+1774000+67500000+0.9684+5.5083%+12.8103+3.3924%+3.3924%

Known prime factors (1 factor, 79.4 bits, 0.00179668% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
44173217784663072368204249815432479.36588115206845599451
32 × 7 × 1187 × 11351 × 103806721
2019-08-311135110380672144,2211.02481.9103

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-18T11:30:00Carsten Kossendeydurandal25000356250---0.008--1.199%
2012-03-31T01:39:00Squeeky_SquirrelT7500_22001350002733750---0.050--2.995%
2016-08-27T22:56:43mikrMSI18000006800000012---0.978--7.542%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-03-17T00:00:00ANONYMOUSv4_computers21260--0.035--
2001-12-22T00:00:00ANONYMOUSv4_computers21261--0.070--
2010-10-27T19:18:00markrut261262--0.070--
2012-02-03T03:48:00GrunwalderGIMPManual testing21263--0.361--
2016-02-23T16:38:50Mark RoseManual testing262263--0.222--
2014-08-26T00:12:00JayderManual testing263264--0.444--
2014-08-29T14:25:00lycornManual testing264265--0.846--
2015-06-22T11:54:00snme2pm1Manual testing265266--1.692--
2018-05-14T06:42:58Gordon SpenceManual testing266267--3.383--
2018-06-23T14:00:16ramgeisManual testing267268--6.767--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.840 GHz-days
Estimated T-Level:0.500
DigitsB1CurvesCompleteFacMiss
201100010 / 1000.10090.438%
255000010 / 2800.03696.485%

New Calculation Method

Total ECM effort:1.840 GHz-days
Estimated T-Level:0.500
DigitsB1CompleteFacMiss
20110000.38568.071%
25500000.03696.504%
302500000.00299.776%


ECM Summary

B1B2factorcurvesGHz-days
50000500000091.656
50000500000010.184


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-04-21T00:00:00ANONYMOUSv4_computers28B0ACB64FCD35DD0.551
2000-01-04T00:00:00twmossv4_computers28B0ACB64FCD35DD0.551


PRP results:
dateuseridcompidcofactorsres64PRP
2019-08-31T20:11:45Niels_Mache_NextcloudSuperDry-X
778466307236820424981543
6767F0440C88A73Ano
2019-09-05T06:16:40Chang Chia-Tcheexbpc13
778466307236820424981543
6767F0440C88A73Ano


P-1 factor-bounds graph:
B1 = 1800000, B2 = 68000000 (P-1 stage 2)
B1 = 1800000 (P-1 stage 1)
B1 = 135000, B2 = 2733750 (P-1 stage 2)
B1 = 135000 (P-1 stage 1)
B1 = 25000, B2 = 356250 (P-1 stage 2)
B1 = 25000 (P-1 stage 1)
103
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105
106
107
103
104
105
106
107
108
109
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
250
260
270
280
290
2100
Last modified: 2019-09-05T06:16:40+00:00