is 2 583753 - 1
has 175728 decimal digits
takes 0.009 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L0D5903B19C511B98double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26750.901570.1493%100000004000000000.66089.8658%51.562373.0943%2.9450%
PrimeNet2400.000050.0000%55002000000.000320.0542%0.000360.0271%10.0271%
GPU722440.000054.5455%100003400000.000615.2401%0.000661.4728%6.9273%
Difference+23+50.9015+15.6038%+9990000+399660000+0.6602-5.3742%+51.5617+11.6215%+11.6215%

Known prime factors (1 factor, 87.3 bits, 0.01496155% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
5837531956623340945227448449910072787.338167590003044543449751
32 × 18621111449393716639
2020-08-2791862111144939371663984,966,0532.145e+104.007e+10

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-12-22T00:00:00ANONYMOUSv4_computers2000200000---0.000--0.185%
2002-01-22T00:00:00ANONYMOUSv4_computers4096409600---0.001--0.401%
2002-03-10T00:00:00ANONYMOUSv4_computers8192819200---0.001--0.731%
2002-05-05T00:00:00ANONYMOUSv4_computers163841638400---0.002--1.196%
2002-07-06T00:00:00ANONYMOUSv4_computers327683276800---0.004--1.807%
2002-09-22T00:00:00ANONYMOUSv4_computers655366553600---0.009--2.557%
2003-05-26T00:00:00ANONYMOUSv4_computers13107213107200---0.018--3.435%
2011-07-01T01:39:00Jocelyn LaroucheManual testing400579400579---0.008--1.517%
2011-08-24T01:38:00Jocelyn LaroucheManual testing667632667632---0.014--1.903%
2012-03-05T12:57:00Jocelyn LaroucheManual testing834540834540---0.018--2.088%
2013-09-28T14:49:00David Campeaui5-2500k102000031620000---0.057--5.507%
2015-04-18T11:03:00Sid & AndySpeck5837530175125900---0.318--8.468%
2019-04-29T10:04:24alexlaptop1000000040000000012---0.661--9.866%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-04-12T00:00:00ANONYMOUSv4_computers21254--0.004--
2022-03-07T08:27:59LordJuliusManual testing254255--0.004--
2001-04-08T00:00:00ANONYMOUSv4_computers21256--0.016--
2002-01-08T00:00:00ANONYMOUSv4_computers21257--0.033--
2003-11-28T00:00:00ANONYMOUSv4_computers21258--0.066--
2016-02-23T16:28:15Mark RoseManual testing258260--0.197--
2016-02-23T16:28:15Mark RoseManual testing260261--0.263--
2015-07-12T19:53:00NRManual testing261262--0.526--
2015-09-04T07:57:00Gordon SpenceManual testing262263--1.682--
2015-09-04T07:57:00Gordon SpenceManual testing263264--3.363--
2017-11-13T01:29:48BloodERazorManual testing264265--6.401--
2018-06-04T01:37:40chuenkitManual testing265266--12.80--
2020-02-20T05:54:24YxinityManual testing266267--25.60--


ECM factoring results:

Old Calculation Method

Total ECM effort:16.281 GHz-days
Estimated T-Level:25.984
DigitsB1CurvesCompleteFacMiss
2011000498 / 1004.9800.670%
2550000498 / 2801.77916.834%
30250000126 / 6400.19782.117%

New Calculation Method

Total ECM effort:16.281 GHz-days
Estimated T-Level:25.984
DigitsB1CompleteFacMiss
201100022.5000.000%
25500002.6047.401%
302500000.23179.394%
3510000000.01798.344%
4030000000.00199.898%


ECM Summary

B1B2factorcurvesGHz-days
5000050000003726.036
25000025000000655.273
25000025000000594.787
2500003500000020.185


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2015-04-11T15:29:00MadPooManual testing0D5903B19C511B980.009


PRP results:
dateuseridcompidcofactorsres64PRP
2020-08-27T13:23:35mnd9consult
195662334094522744844991007
383BD1978E78EC1Ano
2020-08-29T19:28:32ViliamFAWS
195662334094522744844991007
383BD1978E78EC1Ano


P-1 factor-bounds graph:
B1 = 10000000, B2 = 400000000 (P-1 stage 2)
B1 = 5837530, B2 = 175125900 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 5837530 (P-1 stage 1)
B1 = 1020000, B2 = 31620000 (P-1 stage 2)
B1 = 1020000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 834540 (P-1 stage 1)
B1 = 667632 (P-1 stage 1)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 400579 (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 = 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)
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TF factor-bounds graph:
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Last modified: 2022-03-07T08:27:59+00:00