is 2 870047 - 1
has 261911 decimal digits
takes 0.021 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L0213372E95893EE8double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26734.152170.1493%131072131072000.02953.6336%34.181671.2339%1.0846%
PrimeNet2400.000050.0000%80003400000.000923.0677%0.000961.5338%11.5338%
GPU722440.000054.5455%140005500000.001517.6138%0.001562.5517%8.0063%
Difference+23+34.1521+15.6038%+117072+12557200+0.0279-13.9802%+34.1800+8.6822%+8.6822%

Known prime factors (1 factor, 98.4 bits, 0.01131166% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
8700474230626855894761169272516844713098.417243126340065235623436005
3 × 5 × 29 × 94819 × 5325217 × 1106904301
2014-12-18532521711069043011.406e+112.29763.9606

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-01-08T00:00:00ANONYMOUSv4_computers2000200000---0.000--0.208%
2002-02-17T00:00:00ANONYMOUSv4_computers4096409600---0.001--0.444%
2002-04-14T00:00:00ANONYMOUSv4_computers8192819200---0.002--0.799%
2002-05-25T00:00:00ANONYMOUSv4_computers163841638400---0.004--1.295%
2002-06-29T00:00:00ANONYMOUSv4_computers327683276800---0.007--1.938%
2002-12-16T00:00:00ANONYMOUSv4_computers655376553700---0.015--2.722%
2003-08-25T00:00:00ANONYMOUSv4_computers13107213107200---0.029--3.634%
2011-02-21T01:22:00Jocelyn LaroucheManual testing200000200000---0.007--1.150%
2011-07-12T13:44:00Jocelyn LaroucheManual testing238764238764---0.008--1.259%
2011-08-31T00:06:00Jocelyn LaroucheManual testing397941397941---0.014--1.610%
2012-01-22T03:55:00Jocelyn LaroucheManual testing795882795882---0.028--2.169%
2012-03-29T23:13:00Jocelyn LaroucheManual testing11938231193823---0.042--2.540%
2012-09-21T00:58:00Jocelyn LaroucheManual testing17400941740094---0.061--2.914%
2014-12-18T00:08:00mikrDell131072131072003098.4170.0290.0420.0593.634%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-08-24T00:00:00ANONYMOUSv4_computers21255--0.006--
2000-12-31T00:00:00ANONYMOUSv4_computers21256--0.011--
2001-12-08T00:00:00ANONYMOUSv4_computers21257--0.022--
2003-09-09T00:00:00ANONYMOUSv4_computers21258--0.044--
2022-03-07T09:34:19LordJuliusManual testing258259--0.044--
2004-06-04T00:00:00Sturle Sundev4_computers21260--0.177--
2010-06-03T02:30:00Architects Cubedm1_f2260261--0.177--


ECM factoring results:

Old Calculation Method

Total ECM effort:14.019 GHz-days
Estimated T-Level:25.344
DigitsB1CurvesCompleteFacMiss
2011000325 / 1003.2503.815%
2550000325 / 2801.16131.261%
3025000044 / 6400.06993.351%

New Calculation Method

Total ECM effort:14.019 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100012.7310.000%
25500001.34925.941%
302500000.10889.793%
3510000000.00799.295%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002817.863
25000025000000446.156


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-01-28T00:00:00ANONYMOUSv4_computers0213372E95893EE80.021


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-28T05:41:48Oliver KruseGTX-3
423062685589476116927251684471
89034804AE653C__no
2017-10-14T11:48:26Oliver KruseThreadripper89034804AE653C__no
2017-12-19T03:06:58ATHec2-1xf
423062685589476116927251684471
89034804AE653C__no
2020-04-22T11:50:58Oliver KruseAddPrpType5
423062685589476116927251684471
3A8DA2A28E009C__no


P-1 factor-bounds graph:
B1 = 1740094 (P-1 stage 1)
B1 = 1193823 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 795882 (P-1 stage 1)
B1 = 65537, B2 = 6553700 (P-1 stage 2)
B1 = 397941 (P-1 stage 1)
B1 = 238764 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
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)
102
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104
105
106
107
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
261
260
259
258
257
256
255
250
260
270
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290
2100
Last modified: 2022-03-07T09:34:19+00:00