is 2 906259 - 1
has 272812 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-L8AB12411188EF457double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26732.787470.1493%1000000300000000.09075.7222%32.878271.8574%1.7081%
PrimeNet2400.000050.0000%80003600000.001023.3353%0.001061.6677%11.6677%
GPU722440.000054.5455%150006000000.001618.0002%0.001762.7274%8.1819%
Difference+23+32.7874+15.6038%+985000+29400000+0.0891-12.2781%+32.8765+9.1300%+9.1300%

Known prime factors (1 factor, 71.0 bits, 0.00782916% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
90625922846976682531370740792270.9521260510333278421
3 × 13729 × 30604567783
2009-08-091372930604567783487.6158.631109.51

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-01-08T00:00:00ANONYMOUSv4_computers2000200000---0.000--0.211%
2002-02-17T00:00:00ANONYMOUSv4_computers4096409600---0.001--0.448%
2002-04-20T00:00:00ANONYMOUSv4_computers8192819200---0.002--0.806%
2002-05-18T00:00:00ANONYMOUSv4_computers163841638400---0.004--1.305%
2002-07-14T00:00:00ANONYMOUSv4_computers327683276800---0.007--1.952%
2002-12-09T00:00:00ANONYMOUSv4_computers655366553600---0.015--2.739%
2003-07-30T00:00:00ANONYMOUSv4_computers13107213107200---0.029--3.654%
2016-03-17T18:54:00alpertronManual testing20000050000006---0.016--3.266%
unknown100000030000000---0.091--5.722%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-12-07T00:00:00ANONYMOUSv4_computers21256--0.011--
2000-12-14T00:00:00ANONYMOUSv4_computers21256--0.011--
2001-09-30T00:00:00ANONYMOUSv4_computers21257--0.021--
2003-02-16T00:00:00ANONYMOUSv4_computers21258--0.042--


ECM factoring results:

Old Calculation Method

Total ECM effort:13.999 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:13.999 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
5000050000002787.815
25000025000000446.184


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-12-22T00:00:00ANONYMOUSv4_computers8AB12411188EF4570.022


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-28T08:22:16Oliver KruseGTX-0
2284697668253137074079
9AC5982D77EDA8__no
2017-10-14T18:05:15Oliver KruseGTX-39AC5982D77EDA8__no
2017-12-20T17:05:24ATHec2-1xf
2284697668253137074079
9AC5982D77EDA8__no
2020-04-23T07:29:50Oliver KruseAddPrpType5
2284697668253137074079
5DB0806B74C91C__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 = 4096 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
102
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102
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1010
1011
TF factor-bounds graph:
267
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257
256
250
260
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290
2100
Last modified: 2020-06-29T11:32:35+00:00