is 2 574859 - 1
has 173050 decimal digits
takes 0.008 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LA96B96D35E2D7CB0double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26751.689170.1493%1500000500000000.08766.1926%51.776671.9978%1.8485%
PrimeNet2400.000050.0000%55002000000.000320.0193%0.000360.0096%10.0096%
GPU722440.000054.5455%100003400000.000615.2120%0.000661.4600%6.9145%
Difference+23+51.6890+15.6038%+1490000+49660000+0.0870-9.0194%+51.7761+10.5378%+10.5378%

Known prime factors (1 factor, 87.8 bits, 0.01526709% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
5748592628227650565830871348774812787.764228597590936719340860
22 × 5 × 761 × 15019552623963163
2014-03-287611501955262396316386,150,79917,303,77632,318,635

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-12-22T00:00:00ANONYMOUSv4_computers2000200000---0.000--0.184%
2002-01-22T00:00:00ANONYMOUSv4_computers4096409600---0.001--0.399%
2002-03-10T00:00:00ANONYMOUSv4_computers8192819200---0.001--0.728%
2002-04-28T00:00:00ANONYMOUSv4_computers163841638400---0.002--1.193%
2002-05-11T00:00:00ANONYMOUSv4_computers500001000000---0.002--1.546%
2002-06-29T00:00:00ANONYMOUSv4_computers327683276800---0.004--1.802%
2002-09-14T00:00:00ANONYMOUSv4_computers655366553600---0.009--2.551%
2003-05-19T00:00:00ANONYMOUSv4_computers13107213107200---0.018--3.428%
2011-05-26T23:35:00Jocelyn LaroucheManual testing10000001000000---0.021--2.240%
2013-10-08T10:30:00David Campeaui5-2500k122500034300000---0.064--5.684%
unknown150000050000000---0.088--6.193%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-04-05T00:00:00ANONYMOUSv4_computers21254--0.004--
2022-03-07T08:27:45LordJuliusManual testing254255--0.004--
2001-04-08T00:00:00ANONYMOUSv4_computers21256--0.017--
2002-01-15T00:00:00ANONYMOUSv4_computers21257--0.033--
2003-11-28T00:00:00ANONYMOUSv4_computers21258--0.067--


ECM factoring results:

Old Calculation Method

Total ECM effort:16.175 GHz-days
Estimated T-Level:26.125
DigitsB1CurvesCompleteFacMiss
2011000422 / 1004.2201.439%
2550000422 / 2801.50722.095%
30250000144 / 6400.22579.838%

New Calculation Method

Total ECM effort:16.175 GHz-days
Estimated T-Level:26.125
DigitsB1CompleteFacMiss
201100020.9680.000%
25500002.5457.844%
302500000.23778.886%
3510000000.01898.229%
4030000000.00199.887%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002784.506
2500002500000014411.67


Lucas-Lehmer results:
No L-L results for M574859


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-27T11:29:03Oliver KruseGTX-3
262822765056583087134877481
8049098C991FD5__no
2017-09-28T09:43:32Oliver KruseManual testing
262822765056583087134877481
8049098C991FD5__no
2017-11-08T03:40:37kkmrkkblmbrbkc4.xlarge
262822765056583087134877481
8049098C991FD5__no
2020-04-19T09:27:33Oliver KruseAddPrpType5
262822765056583087134877481
081CCE99E9CB06__no


P-1 factor-bounds graph:
B1 = 1500000, B2 = 50000000 (P-1 stage 2)
B1 = 1225000, B2 = 34300000 (P-1 stage 2)
B1 = 1500000 (P-1 stage 1)
B1 = 1225000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 50000, B2 = 1000000 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 8192, B2 = 819200 (P-1 stage 2)
B1 = 50000 (P-1 stage 1)
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)
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TF factor-bounds graph:
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Last modified: 2022-03-07T08:27:45+00:00