is 2 823637 - 1
has 247940 decimal digits
takes 0.016 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LEAD97B23DFC874E9double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26736.076570.1493 %1670000567800000.13536.6436 %36.211872.1324 %
Target2440.000054.5455 %1400027500000.004717.5082 %0.004762.5037 %
Difference+23+36.0765+15.6038 %+1656000+54030000+0.1306-10.8646 %+36.2071+9.6287 %

Known prime factors (1 factor, 84.6 bits, 0.01027131% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
823637292845821310995411552153032684.59817777602348546472023
73 × 701 × 4877711 × 71222341
2014-02-094877711712223414,756,7890.24590.2875

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-01-08ANONYMOUSv4_computers2000200000--0.00011.978%
2002-02-10ANONYMOUSv4_computers4096409600--0.00114.892%
2002-04-07ANONYMOUSv4_computers8192819200--0.00217.683%
2002-05-18ANONYMOUSv4_computers163841638400--0.00320.439%
2002-06-09ANONYMOUSv4_computers32768327680012--0.00623.151%
2002-11-24ANONYMOUSv4_computers65537655370012--0.01225.812%
2003-07-30ANONYMOUSv4_computers1310721310720012--0.02428.416%
2008-10-26markrManual testing10000002000000012--0.06530.847%
2008-10-30markrManual testing10000004000000012--0.09132.985%
2012-09-21JossManual testing16472741647274--0.04821.922%
2013-11-02David Campeaui5-2500k16700005678000012--0.13534.200%
2016-03-17alpertronManual testing3000001000000012---28.292%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-08-01ANONYMOUSv4_computers212550.006
2001-02-04ANONYMOUSv4_computers212560.012
2001-10-13ANONYMOUSv4_computers212570.023
2003-08-31ANONYMOUSv4_computers212580.047
2008-10-10Sturle Sundeaeronautica.ifi2582590.047
2008-10-10Sturle Sundeaeronautica.ifi2592600.093
2010-06-02Architects Cubedm1_fw2602610.186


ECM factoring results:
Total ECM effort:11.368 GHz-days
Estimated T-Level:25.650
DigitsB1CompleteFacMiss
201100014.5380.000%
25500001.59520.295%
302500000.13087.815%
3510000000.00999.137%


ECM Summary

B1B2factorcurvesGHz-days
10.160
5000050000002746.168
25000025000000445.041


Lucas-Lehmer results:
No L-L results for M823637


PRP results:
dateuseridcompidcofactorsres64
2017-09-28Oliver KruseGTX-2
29284582131099541155215303
A4BC4C3A5664346C
2017-10-14Oliver KruseThreadripper-PC
29284582131099541155215303
A4BC4C3A5664346C
2017-12-18ATHec2-1xh
29284582131099541155215303
A4BC4C3A5664346C
2020-04-21Oliver KruseAddPrpType5
29284582131099541155215303
5A4A3F61AF809880


CERT results:
No CERT results for M823637


P-1 factor-bounds graph:
B1 = 1670000, B2 = 56780000 (P-1 stage 2)
B1 = 1000000, B2 = 40000000 (P-1 stage 2)
B1 = 1000000, B2 = 20000000 (P-1 stage 2)
B1 = 1670000 (P-1 stage 1)
B1 = 1647274 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 300000, B2 = 10000000 (P-1 stage 2)
B1 = 65537, B2 = 6553700 (P-1 stage 2)
B1 = 300000 (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 = 65537 (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)
102
103
104
105
106
107
102
103
104
105
106
107
108
TF factor-bounds graph:
261
260
259
258
257
256
255
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=25.65 ~= 69-bit
250
260
270
280
290
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Last modified: 2024-03-03T02:29:32+00:00