is 2 618083 - 1
has 186062 decimal digits
takes 0.009 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L3D10057E98B47939double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26748.074370.1493 %175000053997843906.518111.5832 %54.592573.6069 %
Target2440.000054.5455 %1000018000000.002415.4829 %0.002461.5831 %
Difference+23+48.0743+15.6038 %+1740000+5397984390+6.5158-3.8997 %+54.5901+12.0238 %

Known prime factors (1 factor, 84.1 bits, 0.01360036% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
618083201853209959154824803956012684.06216328972804554956600
23 × 32 × 52 × 859 × 5501 × 1919780393
2011-08-06550119197803938,314,4522.30454.3040

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2000-12-31Alex Kruppav4_computers200040000--8.97000e-58.338%
2002-01-22ANONYMOUSv4_computers4096409600--0.00114.342%
2002-03-10ANONYMOUSv4_computers8192819200--0.00117.114%
2002-05-05ANONYMOUSv4_computers163841638400--0.00219.854%
2002-06-29ANONYMOUSv4_computers32768327680012--0.00522.555%
2002-09-29ANONYMOUSv4_computers65536655360012--0.00925.206%
2003-05-11ANONYMOUSv4_computers1310721310720012--0.01827.804%
2011-07-10JossManual testing371971371971--0.00816.855%
2016-03-17alpertronManual testing10000003000000012---31.518%
2023-01-07USAFSSUSAFSACS17500005399784390
skipped known factor: 20185320995915482480395601
--7.54345.880%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-04-15ANONYMOUSv4_computers212560.016
2001-10-20ANONYMOUSv4_computers212570.031
2003-11-16ANONYMOUSv4_computers212580.062
2008-10-11Sturle Sundeagrell.ifi2582600.186
2010-12-26Sid & AndyToy_Soldier2602610.248


ECM factoring results:
Total ECM effort:18.555 GHz-days
Estimated T-Level:26.529
DigitsB1CompleteFacMiss
201100024.7690.000%
25500003.1794.164%
302500000.30673.653%
3510000000.02397.680%
4030000000.00299.849%


ECM Summary

B1B2factorcurvesGHz-days
10.017
5000050000002804.536
25000025000000443.736
2500004000000010010.27


Lucas-Lehmer results:
No L-L results for M618083


PRP results:
dateuseridcompidcofactorsres64
2017-09-27Oliver KruseGTX-0
20185320995915482480395601
1801DC13AFD3F3B9
2017-10-13Oliver KruseGTX-3
20185320995915482480395601
1801DC13AFD3F3B9
2017-12-15ATHec2-1xh
20185320995915482480395601
1801DC13AFD3F3B9
2020-04-19Oliver KruseAddPrpType5
20185320995915482480395601
8A942DF5D36A63C1


CERT results:
No CERT results for M618083


P-1 factor-bounds graph:
B1 = 1750000, B2 = 5399784390 (P-1 stage 2)
B1 = 1000000, B2 = 30000000 (P-1 stage 2)
B1 = 1750000 (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 = 371971 (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 = 8192 (P-1 stage 1)
B1 = 4096 (P-1 stage 1)
B1 = 2000, B2 = 40000 (P-1 stage 2)
B1 = 2000 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
261
260
258
257
256
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=26.53 ~= 72-bit
250
260
270
280
290
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Last modified: 2024-03-13T02:15:48+00:00