is 2 2053943 - 1
has 618299 decimal digits
takes 0.135 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L95A20D5BB48F5001double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26714.466868.6567%27000058320000.05463.9428%14.521469.8925%1.2358%
PrimeNet2580.018763.7931%90001600000.00162.6666%0.020364.7586%0.9655%
GPU722620.299166.1290%90001200000.00141.3308%0.300566.5798%0.4508%
Difference+5+14.1677+2.5277%+261000+5712000+0.0532+2.6120%+14.2209+3.3127%+3.3127%

Known prime factors (1 factor, 86.3 bits, 0.00420372% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2053943980684364213772546928709532686.34223873212747719205132
22 × 137 × 21139 × 947129 × 2175889
2017-01-28947129217588911,877,6110.09670.1838

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-02-24T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.275%
2006-01-15T00:00:00Jocelyn Larouchev4_computers40004000---0.000--0.058%
2009-05-24T18:04:00Rob_Deetwopc20000280000---0.003--1.039%
2010-12-26T02:29:00Jocelyn LaroucheManual testing3000030000---0.003--0.413%
2011-01-06T01:06:00Jocelyn LaroucheManual testing5000050000---0.005--0.593%
2011-01-27T12:06:00James Heinrichi7-9201350002902500---0.027--3.044%
2014-10-26T00:59:00Jocelyn LaroucheManual testing166249166249---0.016--1.209%
2016-05-15T21:00:25Jocelyn LaroucheManual testing27000048600006---0.050--3.793%
2016-09-22T12:02:51Jocelyn Larouchelow 4M27000058320006---0.055--3.943%
2016-11-06T00:28:17Jocelyn Larouchelow 4M324000324000---0.031--1.677%
2017-01-28T08:36:36mikrMSI250000025000002686.3420.2380.2700.4773.673%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-10T00:00:00ANONYMOUSv4_computers21258--0.019--
2016-02-23T16:29:04Mark RoseManual testing258260--0.056--
2009-01-03T23:57:00Sturle Sundegorilla.ifi260261--0.075--
2012-03-11T09:47:00Sebastian HornbostelManual testing261262--0.150--
2013-09-01T20:20:00ramgeisManual testing262263--0.478--
2015-04-21T09:19:00VictordeHollanderManual testing263264--0.956--
2015-04-21T09:19:00VictordeHollanderManual testing264265--1.819--
2015-11-03T10:09:59ramgeisManual testing265266--3.638--
2016-08-18T20:55:11Gordon SpenceManual testing266267--7.276--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.698 GHz-days
Estimated T-Level:1.500
DigitsB1CurvesCompleteFacMiss
201100030 / 1000.30073.970%
255000030 / 2800.10789.823%

New Calculation Method

Total ECM effort:2.698 GHz-days
Estimated T-Level:1.500
DigitsB1CompleteFacMiss
20110000.98337.437%
25500000.08891.543%
302500000.00599.459%


ECM Summary

B1B2factorcurvesGHz-days
500005000030.152
500005000000302.546


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-26T00:00:00ANONYMOUSv4_computers95A20D5BB48F50010.135
2016-07-16T00:27:11Mark Rosedonatello95A20D5BB48F50010.135


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-06T08:18:21Oliver KruseGTX-0
98068436421377254692870953
7469F6DB390542__no
2017-11-19T13:52:06kkmrkkblmbrbkc4.xlarge
98068436421377254692870953
7469F6DB390542__no


P-1 factor-bounds graph:
B1 = 2500000 (P-1 stage 1)
B1 = 270000, B2 = 5832000 (P-1 stage 2)
B1 = 270000, B2 = 4860000 (P-1 stage 2)
B1 = 324000 (P-1 stage 1)
B1 = 135000, B2 = 2902500 (P-1 stage 2)
B1 = 270000 (P-1 stage 1)
B1 = 166249 (P-1 stage 1)
B1 = 135000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 20000, B2 = 280000 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 4000 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
102
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106
107
102
103
104
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107
TF factor-bounds graph:
267
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265
264
263
262
261
260
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2100
Last modified: 2017-11-19T13:52:06+00:00