is 2 23291 - 1
has 7012 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L895AF9F5C5E41A69double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2671,275.768277.6119 %8000000000240813828405150086,142.734633.8602 %87,418.502885.1926 %
Target2440.000165.9091 %500500000.00001.6318 %0.000166.4654 %
Difference+23+1,275.7681+11.7028 %+7999999500+2408138284001500+86,142.7346+32.2283%+87,418.5027+18.7272 %

Known prime factors (1 factor, 124.6 bits, 0.53513627% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
232913310959851516589220879754641248444290338124.639710780956488898978334926504067761
7 × 11 × 9230921512842843874479564987893
2009-10-051192309215128428438744795649878937.947e+123.302e+206.167e+20

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-04-29ANONYMOUSv4_computers10000010000000--0.00020.347%
2001-08-18Alex Kruppav4_computers1000000100000000--0.00428.415%
2002-04-28ANONYMOUSv4_computers163841638400--6.88000e-513.786%
2002-06-09ANONYMOUSv4_computers327683276800--0.00016.313%
2002-07-20ANONYMOUSv4_computers65536655360012--0.00018.825%
2003-02-02ANONYMOUSv4_computers1310721310720030--0.00121.316%
2003-03-27ANONYMOUSv4_computers2621442621440030--0.00123.775%
2003-04-03ANONYMOUSv4_computers5242885242880048--0.00226.198%
2003-04-27ANONYMOUSv4_computers104857610485760048--0.00428.576%
2003-05-19ANONYMOUSv4_computers209715220971520012--0.00930.906%
2003-07-06ANONYMOUSv4_computers419430441943040012--0.01833.184%
2003-09-29ANONYMOUSv4_computers838860883886080012--0.03535.406%
2003-09-29ANONYMOUSv4_computers16777216167772160012--0.07037.570%
2016-11-28kkmrkkblmbrbkManual testing5000000001000000000012---42.482%
2023-05-02nordisweet16_30.9b380000000008000000000--5.25238.529%
2024-01-01nordisweet16_30.8b1480000000002408138284051500--104,79872.679%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-10-21ANONYMOUSv4_computers2522530.026
2000-03-08ANONYMOUSv4_computers2532540.052
2000-09-29ANONYMOUSv4_computers212560.412
2002-11-09ANONYMOUSv4_computers212570.824
2022-05-07LordJuliusWhitebox257258
2009-01-19Sturle Sundevancraft.ifi2582591.649
2009-03-02Sturle Sundeniemeyer.ifi2592603.297


ECM factoring results:
Total ECM effort:11.788 GHz-days
Estimated T-Level:34.250
DigitsB1CompleteFacMiss
2011000194.5330.000%
255000040.3090.000%
302500006.4980.151%
3510000000.85042.745%
4030000000.09291.205%
45110000000.00999.151%


ECM Summary

B1B2factorcurvesGHz-days
10.000
10000001000000001,0348.895
30000003000000001112.893


Lucas-Lehmer results:
No L-L results for M23291


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KrusePRP
33109598515165892208797546412484442903
B8E849CE95BBCC17
2017-09-21Oliver KruseManual testing
33109598515165892208797546412484442903
B8E849CE95BBCC17
2017-10-12kkmrkkblmbrbkManual testing
33109598515165892208797546412484442903
B8E849CE95BBCC17
2020-04-17Oliver KruseManual testing
33109598515165892208797546412484442903
74B5FBAE4CFDB498


CERT results:
No CERT results for M23291


P-1 factor-bounds graph:
B1 = 8000000000, B2 = 2408138284051500 (P-1 stage 2)
B1 = 8000000000 (P-1 stage 1)
B1 = 500000000, B2 = 10000000000 (P-1 stage 2)
B1 = 500000000 (P-1 stage 1)
B1 = 16777216, B2 = 1677721600 (P-1 stage 2)
B1 = 8388608, B2 = 838860800 (P-1 stage 2)
B1 = 4194304, B2 = 419430400 (P-1 stage 2)
B1 = 16777216 (P-1 stage 1)
B1 = 2097152, B2 = 209715200 (P-1 stage 2)
B1 = 8388608 (P-1 stage 1)
B1 = 1048576, B2 = 104857600 (P-1 stage 2)
B1 = 1000000, B2 = 100000000 (P-1 stage 2)
B1 = 4194304 (P-1 stage 1)
B1 = 524288, B2 = 52428800 (P-1 stage 2)
B1 = 2097152 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 1048576 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 524288 (P-1 stage 1)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 262144 (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 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 16384 (P-1 stage 1)
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TF factor-bounds graph:
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this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=34.25 ~= 97-bit
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Last modified: 2024-03-13T02:15:48+00:00