is 2 444463 - 1
has 133797 decimal digits
takes 0.005 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L0A49F66AB5D3C377double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26766.853571.6418%2000000010000000001.253411.2932%68.106974.8443%3.2026%
PrimeNet2400.000052.5000%45001500000.000218.3298%0.000261.2067%8.7067%
GPU722440.000056.8182%80002400000.000413.6295%0.000462.7037%5.8855%
Difference+23+66.8535+14.8236%+19992000+999760000+1.2530-2.3363%+68.1066+12.1407%+12.1407%

Known prime factors (2 factors, 172.6 bits, 0.03882838% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
4444631552716671832123298266972477.039174673332969462396
22 × 32 × 29 × 167311621618259
2016-07-2429167311621618259128,430155,674290,756
444463575443406922181185970516835512995.53964734680605830090015425
52 × 646873 × 4002929824298129
2020-07-0464687340029298242981292.511e+103,724,5046,956,336

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
44446389350057162394739287304036915189429835765359155610
47
52172.578
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-06-23T00:00:00ANONYMOUSv4_computers327683276800---0.004--1.721%
2002-09-07T00:00:00ANONYMOUSv4_computers655366553600---0.007--2.449%
2009-08-27T14:28:00Carsten Kossendeyleela444463444463---0.008--1.525%
2010-09-06T14:16:00Rob_Deetwopc5000001000000---0.009--2.127%
2010-09-07T12:59:00Rob_Deetwopc10000002000000---0.018--2.776%
2012-11-02T07:16:00markrManual testing200000001000000000---1.253--11.293%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-03-25T00:00:00ANONYMOUSv4_computers21256--0.022--
2002-02-17T00:00:00ANONYMOUSv4_computers21257--0.043--
2004-01-07T00:00:00ANONYMOUSv4_computers21258--0.086--
2016-02-23T16:28:09Mark RoseManual testing258260--0.259--
2010-04-11T00:05:00Architects Cubedi4l_1260261--0.346--
2015-07-16T06:04:00NRManual testing261262--0.691--
2015-12-02T22:14:48Gordon SpenceManual testing262263--2.209--
2015-12-02T22:14:48Gordon SpenceManual testing263264--4.417--


ECM factoring results:

Old Calculation Method

Total ECM effort:14.853 GHz-days
Estimated T-Level:26.359
DigitsB1CurvesCompleteFacMiss
2011000458 / 1004.5801.002%
2550000458 / 2801.63619.424%
30250000174 / 6400.27276.179%

New Calculation Method

Total ECM effort:14.853 GHz-days
Estimated T-Level:26.359
DigitsB1CompleteFacMiss
201100023.6610.000%
25500002.9245.370%
302500000.27775.786%
3510000000.02197.906%
4030000000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002843.655
250000250000001127.208
25000025000000311.995
25000025000000311.995


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2016-06-01T06:39:57MadPooManual testing0A49F66AB5D3C3770.005


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-24T14:19:45Oliver KruseDoppelherz
155271667183212329826697
F4D37B95FE28A9__no
2017-09-24T17:48:08Oliver KruseManual testing
155271667183212329826697
F4D37B95FE28A9__no
2017-11-09T03:14:17kkmrkkblmbrbkc4.large
155271667183212329826697
F4D37B95FE28A9__no
2020-04-18T18:53:36Oliver KruseAddPrpType5
155271667183212329826697
BE3031777153DB__no
2020-07-05T17:57:22mnd9mnd
155271667183212329826697
57544340692218118597051683551
BE3031777153DBC7no
2020-07-05T18:04:16oodairacom1
155271667183212329826697
57544340692218118597051683551
BE3031777153DBC7no


P-1 factor-bounds graph:
B1 = 20000000, B2 = 1000000000 (P-1 stage 2)
B1 = 20000000 (P-1 stage 1)
B1 = 1000000, B2 = 2000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 500000, B2 = 1000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 444463 (P-1 stage 1)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2020-08-07T11:03:31+00:00