is 2 871513 - 1
has 262352 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-LDFA9D5D3A68703__double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26734.094670.1493%300000100000000.02913.9926%34.123871.3411%1.1918%
PrimeNet2400.000050.0000%80003400000.000923.0717%0.000961.5358%11.5358%
GPU722440.000054.5455%140005500000.001517.6170%0.001562.5532%8.0077%
Difference+23+34.0946+15.6038%+286000+9450000+0.0276-13.6245%+34.1222+8.7879%+8.7879%

Known prime factors (1 factor, 64.3 bits, 0.00737429% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
871513222104534820868309212064.26812742468260420
22 × 3 × 5 × 239 × 888596113
2007-09-062398885961134.41811.70233.1795

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-01-08T00:00:00ANONYMOUSv4_computers2000200000---0.000--0.209%
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--1.939%
2002-12-25T00:00:00ANONYMOUSv4_computers655376553700---0.015--2.723%
2003-08-31T00:00:00ANONYMOUSv4_computers13107213107200---0.029--3.634%
2016-03-17T18:52:40alpertronManual testing3000001000000012---0.029--3.993%


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--
2022-03-07T09:34:20LordJuliusManual testing258259--0.044--
2004-06-04T00:00:00Sturle Sundev4_computers21260--0.176--


ECM factoring results:

Old Calculation Method

Total ECM effort:14.022 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:14.022 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100014.8080.000%
25500001.62019.795%
302500000.13287.678%
3510000000.00999.129%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002817.865
25000025000000446.157


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-01-28T00:00:00ANONYMOUSv4_computersDFA9D5D3A68703__0.021


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-28T05:49:56Oliver KruseGTX-2
22210453482086830921
20138075CEAEC5__no
2017-10-14T12:03:18Oliver KruseThreadripper20138075CEAEC5__no
2017-12-19T06:25:18ATHec2-1xf
22210453482086830921
20138075CEAEC5__no
2020-04-22T11:31:38Oliver KruseAddPrpType5
22210453482086830921
F5CE32F3FB6A2D__no


P-1 factor-bounds graph:
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 300000, B2 = 10000000 (P-1 stage 2)
B1 = 65537, B2 = 6553700 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
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)
101
102
103
104
105
106
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
267
260
259
258
257
256
255
250
260
270
280
290
2100
Last modified: 2022-03-07T09:34:20+00:00