is 2 951437 - 1
has 286412 decimal digits
takes 0.023 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LC8A941ACB85B4ADFdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26731.230670.1493%1000000300000000.09075.7537%31.321371.8668%1.7175%
PrimeNet2400.000050.0000%80003600000.001023.4524%0.001061.7262%11.7262%
GPU722440.000054.5455%160006500000.001818.3798%0.001862.8999%8.3544%
Difference+23+31.2306+15.6038%+984000+29350000+0.0889-12.6261%+31.3195+8.9669%+8.9669%

Known prime factors (1 factor, 81.5 bits, 0.00856667% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
95143734347290262271857339490092581.5061805021786112577992
23 × 33 × 919 × 379189 × 23980457
2009-09-1937918923980457930,5250.05850.0858

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-01-08T00:00:00ANONYMOUSv4_computers2000200000---0.000--0.214%
2002-02-24T00:00:00ANONYMOUSv4_computers4096409600---0.001--0.454%
2002-05-05T00:00:00ANONYMOUSv4_computers8192819200---0.002--0.815%
2002-05-11T00:00:00Jocelyn Larouchev4_computers50005000---0.000--0.061%
2002-05-11T00:00:00Jocelyn Larouchev4_computers60006000---0.000--0.076%
2002-05-25T00:00:00ANONYMOUSv4_computers163841638400---0.004--1.318%
2002-07-27T00:00:00ANONYMOUSv4_computers327683276800---0.007--1.969%
2003-01-09T00:00:00ANONYMOUSv4_computers655366553600---0.015--2.760%
2003-09-14T00:00:00ANONYMOUSv4_computers13107213107200---0.029--3.679%
2016-03-17T18:54:47alpertronManual testing20000050000006---0.016--3.288%
unknown100000030000000---0.091--5.754%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-06-23T00:00:00ANONYMOUSv4_computers21255--0.005--
2000-11-25T00:00:00ANONYMOUSv4_computers21256--0.010--
2001-10-25T00:00:00ANONYMOUSv4_computers21257--0.020--
2003-08-25T00:00:00ANONYMOUSv4_computers21258--0.040--


ECM factoring results:

Old Calculation Method

Total ECM effort:14.079 GHz-days
Estimated T-Level:25.344
DigitsB1CurvesCompleteFacMiss
2011000322 / 1003.2203.931%
2550000322 / 2801.15031.599%
3025000044 / 6400.06993.351%

New Calculation Method

Total ECM effort:14.079 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100014.6920.000%
25500001.60920.008%
302500000.13187.737%
3510000000.00999.133%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002787.859
25000025000000446.219


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-12-08T00:00:00ANONYMOUSv4_computersC8A941ACB85B4ADF0.023


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-28T11:54:36Oliver KruseGTX-1
3434729026227185733949009
E337ADC6608E02__no
2017-10-15T02:43:18Oliver KruseThreadripper
3434729026227185733949009
E337ADC6608E02__no
2017-12-24T01:53:19ATHec2-1xf
3434729026227185733949009
E337ADC6608E02__no
2020-04-24T08:03:12Oliver KruseAddPrpType5
3434729026227185733949009
0EC644C2C9FAC2__no


P-1 factor-bounds graph:
B1 = 1000000, B2 = 30000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 200000, B2 = 5000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
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 = 65536 (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 = 6000 (P-1 stage 1)
B1 = 5000 (P-1 stage 1)
B1 = 4096 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
TF factor-bounds graph:
267
258
257
256
255
250
260
270
280
290
2100
Last modified: 2020-04-24T08:03:12+00:00