is 2 888637 - 1
has 267507 decimal digits
takes 0.022 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LE6174AA9133C52__double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26733.437670.1493%300000100000000.02914.0027%33.466871.3441%1.1948%
PrimeNet2400.000050.0000%80003400000.000923.1182%0.000961.5591%11.5591%
GPU722440.000054.5455%150006000000.001617.9621%0.001762.7100%8.1646%
Difference+23+33.4376+15.6038%+285000+9400000+0.0275-13.9595%+33.4651+8.6340%+8.6340%

Known prime factors (1 factor, 74.0 bits, 0.00833140% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
888637193653796893972486839772374.03610896113761523124
22 × 3 × 1929589 × 470571443
2007-09-0719295894705714438,018.10.96561.6837

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-01-08T00:00:00ANONYMOUSv4_computers2000200000---0.000--0.210%
2002-02-17T00:00:00ANONYMOUSv4_computers4096409600---0.001--0.446%
2002-04-20T00:00:00ANONYMOUSv4_computers8192819200---0.002--0.802%
2002-05-25T00:00:00ANONYMOUSv4_computers163841638400---0.004--1.300%
2002-07-14T00:00:00ANONYMOUSv4_computers327683276800---0.007--1.945%
2002-12-25T00:00:00ANONYMOUSv4_computers655376553700---0.015--2.731%
2003-08-25T00:00:00ANONYMOUSv4_computers13107213107200---0.029--3.644%
2016-03-17T18:52:59alpertronManual testing3000001000000012---0.029--4.003%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-12-21T00:00:00ANONYMOUSv4_computers21256--0.011--
2001-12-08T00:00:00ANONYMOUSv4_computers21257--0.022--
2003-08-31T00:00:00ANONYMOUSv4_computers21258--0.043--
2022-03-07T09:56:28LordJuliusManual testing258259--0.043--
2004-08-20T00:00:00Sturle Sundev4_computers21260--0.173--


ECM factoring results:

Old Calculation Method

Total ECM effort:14.052 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:14.052 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
5000050000002817.882
25000025000000446.171


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-01-28T00:00:00ANONYMOUSv4_computersE6174AA9133C52__0.022


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-28T07:03:04Oliver KruseGTX-1
19365379689397248683977
1727BF9A05C0A8__no
2017-10-14T14:57:01Oliver KruseThreadripper1727BF9A05C0A8__no
2017-12-19T13:25:16ATHec2-1xf
19365379689397248683977
1727BF9A05C0A8__no
2020-04-22T19:05:26Oliver KruseAddPrpType5
19365379689397248683977
F210D0D9798958__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)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
TF factor-bounds graph:
267
260
259
258
257
256
250
260
270
280
290
2100
Last modified: 2022-03-07T09:56:28+00:00