is 2 23097691 - 1
has 6953098 decimal digits
takes 17.552 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L92D070FFA30554FBdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual27241.403965.2778 %1425000427500004.05095.7764 %45.454867.2835 %
Target2695.168863.7681 %170000250000001.67793.9932 %6.846765.2149 %
Difference+3+36.2351+1.5097 %+1255000+17750000+2.3730+1.7832%+38.6081+2.0685 %

Known prime factors (1 factor, 73.1 bits, 0.00031668% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
23097691104526713768406051558712373.146226270915496285
5 × 112 × 74077 × 5048821
2021-04-22740775048821129.160.38030.5661

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2006-09-04James Heinrichv4_computers12500024375006--0.2773.264%
2021-04-22yoyorocks114250004275000022373.1464.0517.490%


Trial Factoring results:
57585960616263646566676869707172
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-08-04Jossv4_computers212550.000
2001-09-16Net_Forcev4_computers212560.000
2003-08-25Team Prime Ribv4_computers212670.647
2016-06-09VictordeHollanderManual testing2672681.294
2017-09-15ramgeisManual testing2682707.765
2021-04-09yoyorocks1Manual testing27027110.35
2021-04-12yoyorocks1Manual testing27127220.71


ECM factoring results:
No ECM results for M23097691


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2004-03-08Masonv4_computers92D070FFA30554FB17.55
2004-08-04Masonv4_computers92D070FFA30554FB17.55
2008-12-18Jacques X. Charlesv4_computers92D070FFA30554FB18.73


PRP results:
No PRP results for M23097691


CERT results:
No CERT results for M23097691


P-1 factor-bounds graph:
B1 = 1425000, B2 = 42750000 (P-1 stage 2)
B1 = 1425000 (P-1 stage 1)
B1 = 125000, B2 = 2437500 (P-1 stage 2)
B1 = 125000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
TF factor-bounds graph:
272
271
270
268
267
256
255
this exponent TF target: 69
TF double-checked to: 67
250
260
270
280
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Last modified: 2024-03-13T02:15:48+00:00