is 2 870211 - 1
has 261960 decimal digits
takes 0.021 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LD33CA874039BFC14double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26734.145670.1493 %131072131072000.02953.6336 %34.175171.2339 %
Target2440.000054.5455 %1400027500000.005717.6141 %0.005762.5519 %
Difference+23+34.1456+15.6038 %+117072+10357200+0.0237-13.9805 %+34.1694+8.6820 %

Known prime factors (1 factor, 65.8 bits, 0.00756120% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
870211641653253845511198572065.79836867682311848
23 × 4608460288981
2009-08-23846084602889818.38388,828.716,489

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-01-08ANONYMOUSv4_computers2000200000--0.00012.080%
2002-02-17ANONYMOUSv4_computers4096409600--0.00114.999%
2002-04-14ANONYMOUSv4_computers8192819200--0.00217.794%
2002-05-25ANONYMOUSv4_computers163841638400--0.00420.552%
2002-06-29ANONYMOUSv4_computers32768327680012--0.00723.266%
2002-12-16ANONYMOUSv4_computers65537655370012--0.01525.929%
2003-08-25ANONYMOUSv4_computers1310721310720012--0.02928.534%
2016-03-17alpertronManual testing3000001000000012---28.406%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-08-24ANONYMOUSv4_computers212550.006
2000-12-31ANONYMOUSv4_computers212560.011
2001-12-08ANONYMOUSv4_computers212570.022
2003-09-09ANONYMOUSv4_computers212580.044
2022-03-07LordJuliusManual testing258259
2004-06-04Sturle Sundev4_computers212600.088


ECM factoring results:
Total ECM effort:13.940 GHz-days
Estimated T-Level:25.654
DigitsB1CompleteFacMiss
201100014.6920.000%
25500001.60920.008%
302500000.13187.737%
3510000000.00999.133%


ECM Summary

B1B2factorcurvesGHz-days
10.069
5000050000002787.715
25000025000000446.156


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-01-28ANONYMOUSv4_computersD33CA874039BFC140.021


PRP results:
dateuseridcompidcofactorsres64
2017-09-28Oliver KruseGTX-0
64165325384551119857
B870D995D1D883BC
2017-10-15kkmrkkblmbrbkc4.xlarge
64165325384551119857
B870D995D1D883BC
2020-04-22Oliver KruseAddPrpType5
64165325384551119857
CAB57F8F9ADB5AAC


CERT results:
No CERT results for M870211


P-1 factor-bounds graph:
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 300000, B2 = 10000000 (P-1 stage 2)
B1 = 65537, B2 = 6553700 (P-1 stage 2)
B1 = 300000 (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 = 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)
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100
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1010
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TF factor-bounds graph:
260
259
258
257
256
255
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=25.65 ~= 69-bit
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Last modified: 2024-02-09T03:30:02+00:00