is 2 20004713 - 1
has 6022019 decimal digits
takes 12.947 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LC28A4188D43771DCdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27395.619765.7534%35000065000000.64293.0235%96.262666.7889%1.0354%
PrimeNet2650.364761.5385%9000032000000.24354.9971%0.608263.4604%1.9220%
GPU722695.967963.7681%14000040000000.32883.6276%6.296765.0825%1.3144%
Difference+4+89.6518+1.9853%+210000+2500000+0.3142-0.6041%+89.9659+1.7064%+1.7064%

Known prime factors (1 factor, 84.8 bits, 0.00042401% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
20004713341795479746036560388862732684.821854287386542452672
26 × 13348240414725823
2022-01-146413348240414725823315,051682,502,9481.275e+9

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-12-31T00:00:00ANONYMOUSv4_computers300000300000---0.282--1.103%
2019-06-16T13:02:43mognutsStrand19000033725006---0.341--2.359%
2019-06-30T05:33:44ixfd64dchia-mobl350000650000012---0.643--3.023%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2022-01-14T17:44:58ATHec2-P_11000000100000027P+12684.8211.427


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-12-31T00:00:00ANONYMOUSv4_computers21266--0.738--
2011-07-13T06:48:00XyzzyManual testing266267--0.747--
2016-01-13T17:55:10mikrManual testing267268--1.494--
2016-01-13T17:55:10mikrManual testing268269--2.988--
2017-03-13T22:59:49ramgeisManual testing269270--5.977--
2019-01-14T07:09:04slaurManual testing270271--11.95--
2021-05-24T11:02:57-Anonymous-Manual testing271272--23.91--
2021-05-24T11:02:57-Anonymous-Manual testing272273--47.81--


ECM factoring results:
No ECM results for M20004713


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2004-06-12T00:00:00stephensonv4_computersC28A4188D43771DC12.95
2007-10-29T00:00:00ANONYMOUSv4_computersC28A4188D43771DC12.95


PRP results:
No PRP results for M20004713


P-1 factor-bounds graph:
B1 = 1000000 (P+1 stage 1)
B1 = 350000, B2 = 6500000 (P-1 stage 2)
B1 = 190000, B2 = 3372500 (P-1 stage 2)
B1 = 350000 (P-1 stage 1)
B1 = 300000 (P-1 stage 1)
B1 = 190000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-01-14T17:44:58+00:00