is 2 21738809 - 1
has 6544034 decimal digits
takes 15.406 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L7394CCEE4ACD2DB4double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual274175.992466.2162%798000423860003.14844.4759%179.140867.7283%1.5121%
PrimeNet2650.335661.5385%10000032000000.27635.1322%0.611963.5124%1.9739%
GPU722695.491963.7681%16000045000000.40743.8404%5.899365.1596%1.3915%
Difference+5+170.5006+2.4481%+638000+37886000+2.7410+0.6355%+173.2415+2.5688%+0.1207%

Known prime factors (1 factor, 136.9 bits, 0.00062980% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2173880916383595420232386405573678040988842928427942136.9113768282664480925888252129645416371
32 × 17 × 31 × 47 × 113159 × 154159 × 176369 × 650359 × 8448101
2022-01-2365035984481018.392e+91.10491.3601

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2005-07-17T00:00:00ANONYMOUSv4_computers2200002255000---0.340--1.977%
2022-01-23T17:15:06Architects CubedColab_CVH7980004238600042136.9113.14830.816.2974.476%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-01-09T00:00:00ANONYMOUSv4_computers21267--1.367--
2017-05-04T01:59:49ramgeisManual testing267268--1.375--
2017-11-28T01:57:51VictordeHollanderManual testing268269--2.750--
2018-05-03T00:31:22ramgeisManual testing269270--5.500--
2021-09-06T17:40:42TheJudgerManual testing270271--11.00--
2021-09-06T17:40:42TheJudgerManual testing271272--22.00--
2021-09-06T17:40:42TheJudgerManual testing272273--44.00--
2021-10-02T17:38:46TheJudgerManual testing273274--88.00--


ECM factoring results:
No ECM results for M21738809


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2005-08-01T00:00:00ANONYMOUSv4_computers7394CCEE4ACD2DB415.41
2009-07-26T21:12:00Gregnode087394CCEE4ACD2DB415.41


PRP results:
dateuseridcompidcofactorsres64PRP
2022-08-22T03:40:21Naegi Makoto1700
163835954202323864055736780409888429284279
F5E261E4725B3D__no


P-1 factor-bounds graph:
B1 = 798000, B2 = 42386000 (P-1 stage 2)
B1 = 798000 (P-1 stage 1)
B1 = 220000, B2 = 2255000 (P-1 stage 2)
B1 = 220000 (P-1 stage 1)
104
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104
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108
TF factor-bounds graph:
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Last modified: 2022-08-22T03:40:21+00:00