is 2 8851319 - 1
has 2664513 decimal digits
takes 2.311 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L1646029E53B4AAC4double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2673.357064.1791 %350001225000.01511.1933 %3.372164.6065 %
Target2686.734064.7059 %5500060000000.14352.3034 %6.877565.5188 %
Difference-1-3.3770-0.5268 %-20000-5877500-0.1284-1.1101 %-3.5054-0.9123 %

Known prime factors (1 factor, 71.7 bits, 0.00081044% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
885131939299866179936009728872271.735222000055471597
13 × 31 × 479 × 2083 × 552107
2012-09-08208355210796.5480.01210.0213

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-01-16ANONYMOUSv4_computers35000122500--0.0151.034%
2012-09-08firejuggler2271.7350.0770.000%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-05-06firejugglerMaison5000002450000027--0.773
2021-05-12firejugglerMaison5000002450000065--0.773


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-11-14ANONYMOUSv4_computers212620.035
1999-03-26Scoutv4_computers212630.111
2000-02-01vidmarv4_computers212640.222


ECM factoring results:
No ECM results for M8851319


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-03-15vidmarv4_computers1646029E53B4AAC42.311
2003-02-02ANONYMOUSv4_computers1646029E53B4AAC42.311


PRP results:
dateuseridcompidcofactorsres64
2019-02-25CuboxPhoenix
3929986617993600972887
143E5F5A71EB5E60
2020-09-15Poaoquadranet-US
3929986617993600972887
143E5F5A71EB5E60


CERT results:
No CERT results for M8851319


P-1 factor-bounds graph:
B1 = 35000, B2 = 122500 (P-1 stage 2)
B1 = 35000 (P-1 stage 1)
102
103
104
105
102
103
104
105
106
TF factor-bounds graph:
264
263
262
this exponent TF target: 68
TF double-checked to: 67
250
260
270
280
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Last modified: 2024-03-13T02:15:48+00:00