is 2 724219 - 1
has 218012 decimal digits
takes 0.014 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LC9987A213D917390double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26741.028970.1493 %150000036134884505.742511.1026 %46.771473.4635 %
Target2440.000054.5455 %1200022500000.003916.5642 %0.003962.0746 %
Difference+23+41.0289+15.6038 %+1488000+3611238450+5.7386-5.4616 %+46.7675+11.3888 %

Known prime factors (1 factor, 68.8 bits, 0.00950486% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
7242195268749701829431207932168.836363753899154084
22 × 3 × 198127 × 152996941
2009-11-0819812715299694182.3020.24680.4509

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-01-02ANONYMOUSv4_computers2000200000--0.00011.742%
2002-01-28ANONYMOUSv4_computers4096409600--0.00114.644%
2002-03-16ANONYMOUSv4_computers8192819200--0.00217.427%
2002-05-11ANONYMOUSv4_computers163841638400--0.00320.176%
2002-07-14ANONYMOUSv4_computers32768327680012--0.00622.883%
2002-11-16ANONYMOUSv4_computers65537655370012--0.01225.540%
2003-06-17ANONYMOUSv4_computers1310721310720012--0.02428.141%
2016-03-17alpertronManual testing5000001500000012---29.488%
2023-01-04USAFSS6917th_Scty_Sq15000003613488450
skipped known factor: 526874970182943120793
--6.97245.118%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-12-23ANONYMOUSv4_computers2532540.002
2000-05-24ANONYMOUSv4_computers212550.007
2000-05-31ANONYMOUSv4_computers212550.007
2001-04-01ANONYMOUSv4_computers212560.013
2001-10-25ANONYMOUSv4_computers212570.027
2003-09-21ANONYMOUSv4_computers212580.053
2008-10-12Sturle Sundeklughardt.ifi2582590.053
2008-10-12Sturle Sundeklughardt.ifi2592600.106


ECM factoring results:
Total ECM effort:11.255 GHz-days
Estimated T-Level:25.656
DigitsB1CompleteFacMiss
201100014.7690.000%
25500001.61619.866%
302500000.13187.697%
3510000000.00999.130%


ECM Summary

B1B2factorcurvesGHz-days
10.019
5000050000002806.258
25000025000000444.977


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-10-07ANONYMOUSv4_computersC9987A213D9173900.014


PRP results:
dateuseridcompidcofactorsres64
2017-09-27Oliver KruseGTX-0
526874970182943120793
698A1CCA122CC3F9
2017-10-13Oliver KruseGTX-0
526874970182943120793
698A1CCA122CC3F9
2017-12-16ATHec2-1xh
526874970182943120793
698A1CCA122CC3F9
2020-04-20Oliver KruseAddPrpType5
526874970182943120793
8C8C8A657EC721C7


CERT results:
No CERT results for M724219


P-1 factor-bounds graph:
B1 = 1500000, B2 = 3613488450 (P-1 stage 2)
B1 = 1500000 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 65537, B2 = 6553700 (P-1 stage 2)
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
109
1010
TF factor-bounds graph:
260
259
258
257
256
255
254
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=25.66 ~= 69-bit
250
260
270
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Last modified: 2024-02-09T03:30:02+00:00