is 2 2799197 - 1
has 842643 decimal digits
takes 0.216 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LC846E9423518A434double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26710.615267.1642%40000040000000.06683.9651%10.681968.4661%1.3020%
PrimeNet2590.027462.7119%120002400000.00272.9270%0.030263.8033%1.0914%
GPU722630.570265.0794%150002600000.00321.7896%0.573365.7043%0.6250%
Difference+4+10.0450+2.0848%+385000+3740000+0.0636+2.1754%+10.1086+2.7618%+2.7618%

Known prime factors (1 factor, 75.4 bits, 0.00269250% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2799197487648120733371796442172375.3688710500202975564
22 × 7 × 2069 × 3019 × 49803683
2018-01-283019498036834,688.60.30420.5676

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-28T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.300%
2010-11-12T11:43:00Jocelyn LaroucheManual testing1500015000---0.002--0.253%
2010-11-21T07:56:00markrtiny1000002075000---0.023--2.796%
2014-11-06T23:05:00Jocelyn LaroucheManual testing122930122930---0.014--1.086%
2016-05-08T19:01:28Jocelyn LaroucheManual testing20000036000006---0.043--3.551%
2017-07-30T01:18:51Jocelyn Larouchelow 4M40000040000006---0.067--3.965%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:22Mark RoseManual testing21260--0.055--
2009-02-13T21:32:00Sturle Sundekraus.ifi260261--0.055--
2012-03-05T05:05:00Grant McCrackenthumper261262--0.110--
2013-01-10T10:21:00dbaughManual testing262263--0.351--
2015-04-21T09:20:00VictordeHollanderManual testing263264--0.701--
2015-04-21T09:20:00VictordeHollanderManual testing264265--1.335--
2016-02-10T11:15:45ramgeisManual testing265266--2.670--
2017-10-20T11:26:19Gordon SpenceManual testing266267--5.339--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.709 GHz-days
Estimated T-Level:1.300
DigitsB1CurvesCompleteFacMiss
201100026 / 1000.26077.004%
255000026 / 2800.09391.117%

New Calculation Method

Total ECM effort:2.709 GHz-days
Estimated T-Level:1.300
DigitsB1CompleteFacMiss
20110000.83943.227%
25500000.07692.700%
302500000.00599.534%


ECM Summary

B1B2factorcurvesGHz-days
500005000000242.500
50000500000020.208


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-23T00:00:00ANONYMOUSv4_computersC846E9423518A4340.216


PRP results:
dateuseridcompidcofactorsres64PRP
2018-01-29T10:37:14AdolfNorManual testing
48764812073337179644217
EB08D014238028__no
2018-01-31T17:26:38Oliver KruseGTX-6
48764812073337179644217
EB08D014238028__no


P-1 factor-bounds graph:
B1 = 400000, B2 = 4000000 (P-1 stage 2)
B1 = 400000 (P-1 stage 1)
B1 = 200000, B2 = 3600000 (P-1 stage 2)
B1 = 100000, B2 = 2075000 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 122930 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
TF factor-bounds graph:
267
266
265
264
263
262
261
260
250
260
270
280
290
2100
Last modified: 2018-01-31T17:26:38+00:00