is 2 2112217 - 1
has 635841 decimal digits
takes 0.139 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LDC9C2CF32B227F3Cdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26714.067667.1642 %500000150000000.12305.1568 %14.190668.8574 %
Target2620.290964.5161 %100007000000.00451.4530 %0.295465.0317 %
Difference+5+13.7768+2.6481 %+490000+14300000+0.1184+3.7038%+13.8952+3.8257 %

Known prime factors (1 factor, 87.5 bits, 0.00414185% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
21122172165403835494973644816762712787.48551259028676858808655
5 × 19 × 433 × 1471 × 367777 × 2303359
2014-11-05367777230335918,805,5550.04510.0714

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-02-27ANONYMOUSv4_computers204820480012--0.0010.771%
2009-08-02USAFSSP4_260020000260000--0.0032.115%
2010-12-30JossManual testing3000030000--0.0030.930%
2011-01-10JossManual testing5000050000--0.0051.266%
2011-01-27James Heinrichi7-92014000030100006--0.0285.347%
2016-03-21alpertronManual testing5000001500000012
skipped known factor: 216540383549497364481676271
---8.234%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-01-17ANONYMOUSv4_computers212580.018
2022-03-09LordJuliusManual testing21260
2009-01-03Sturle Sundeghibu.ifi2602610.073
2012-04-01Sebastian HornbostelManual testing2612620.145
2013-09-05ramgeisManual testing2622630.465


ECM factoring results:
Total ECM effort:10.161 GHz-days
Estimated T-Level:21.934
DigitsB1CompleteFacMiss
20110004.0531.737%
25500000.38767.923%
302500000.02597.489%
3510000000.00199.876%


ECM Summary

B1B2factorcurvesGHz-days
10.255
500005000000272.163
50000506948170.599
50000611368470.650
50000668244370.678
600318022444505.814


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-07ANONYMOUSv4_computersDC9C2CF32B227F3C0.139


PRP results:
dateuseridcompidcofactorsres64
2017-10-07Oliver KruseGTX-0
216540383549497364481676271
49246AD3F945BF23
2017-11-17kkmrkkblmbrbkc4.xlarge
216540383549497364481676271
49246AD3F945BF23


CERT results:
No CERT results for M2112217


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 140000, B2 = 3010000 (P-1 stage 2)
B1 = 140000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 20000, B2 = 260000 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
TF factor-bounds graph:
263
262
261
260
258
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=21.93 ~= 56-bit
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Last modified: 2024-03-13T02:15:48+00:00