is 2 2816953 - 1
has 847988 decimal digits
takes 0.218 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L86646F555F95D93Cdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26710.548267.1642 %3600002873801701.79167.9970 %12.339969.7900 %
Target2630.566665.0794 %1500013000000.00951.7918 %0.576165.7051 %
Difference+4+9.9817+2.0848 %+345000+286080170+1.7821+6.2052%+11.7638+4.0850 %

Known prime factors (1 factor, 80.6 bits, 0.00286286% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
281695318911640130794935698633372580.646335675464425479156
22 × 11 × 8036711 × 949267409
2016-02-16803671194926740986,9266.643110.818

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2000-08-31ANONYMOUSv4_computers15000202500--0.0031.668%
2010-12-21JossManual testing2000020000--0.0020.638%
2011-01-02JossManual testing3000030000--0.0040.843%
2011-01-24JossManual testing5000050000--0.0061.155%
2011-02-01markrManual testing12000027300006--0.0324.797%
2023-01-29USAFSSUSAFSACS360000287380170--1.97411.280%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2016-02-23Mark RoseManual testing212600.055
2009-02-14Sturle Sundeginglo.ifi2602610.055
2012-02-18markroldgamer2612620.109
2013-01-10dbaughManual testing2622630.348
2015-04-21VictordeHollanderManual testing2632640.697
2015-04-21VictordeHollanderManual testing2642651.326
2016-02-12ramgeisManual testing2652662.653


ECM factoring results:
Total ECM effort:1.204 GHz-days
Estimated T-Level:2.500
DigitsB1CompleteFacMiss
20110000.50060.653%
25500000.04695.479%
302500000.00399.709%


ECM Summary

B1B2factorcurvesGHz-days
500005000000121.103
50000500000010.102


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-04ANONYMOUSv4_computers86646F555F95D93C0.218
2000-09-08ANONYMOUSv4_computers86646F555F95D93C0.218
2015-03-28MadPooManual testing86646F555F95D93C0.240


PRP results:
dateuseridcompidcofactorsres64
2017-10-21Oliver KruseGTX-3
1891164013079493569863337
756E01F4AF03F4AF
2017-12-06kkmrkkblmbrbkc4.xlarge
1891164013079493569863337
756E01F4AF03F4AF


CERT results:
No CERT results for M2816953


P-1 factor-bounds graph:
B1 = 360000, B2 = 287380170 (P-1 stage 2)
B1 = 360000 (P-1 stage 1)
B1 = 120000, B2 = 2730000 (P-1 stage 2)
B1 = 120000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000, B2 = 202500 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
TF factor-bounds graph:
266
265
264
263
262
261
260
this exponent TF target: 63
TF double-checked to: 67
ECM T-Level=2.5 ~= -8-bit
250
260
270
280
290
JSON version of this page
Last modified: 2024-02-29T14:28:04+00:00