is 2 34746097 - 1
has 10459618 decimal digits
takes 43.433 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LCCBBEEA98D3FB3B5double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual27113.759263.3803 %650000155000002.64465.0955 %16.403865.2462 %
Target27113.759263.3803 %240000400000004.36133.9550 %18.120564.8286 %
Difference---+410000-24500000-1.7167+1.1405%-1.7167+0.4176 %

Known prime factors (1 factor, 71.3 bits, 0.00020516% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3474609728804388616548710105212271.28741449818977580
22 × 3 × 5 × 13 × 17 × 887 × 3524159
2015-07-26887352415920.9090.34950.6500

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2005-09-03ANONYMOUSv4_computers4050008302500--1.5144.275%
2015-07-26riccardo ubertiPhoenix4C650000155000001222271.2872.5045.095%


Trial Factoring results:
575859606162636465666768697071
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2005-08-16ANONYMOUSv4_computers212680.860
2013-08-06Carsten KossendeyManual testing2682691.721
2014-07-20VictordeHollanderManual testing2692703.441
2014-08-29Mark RoseManual testing2702716.882


ECM factoring results:
No ECM results for M34746097


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2005-11-27ANONYMOUSv4_computersCCBBEEA98D3FB3B543.43
2015-07-25S485122I5-3320MF9DACE02643AA11D41.12
2024-03-02S485122Manual testingF9DACE02643AA11D-


PRP results:
No PRP results for M34746097


CERT results:
No CERT results for M34746097


P-1 factor-bounds graph:
B1 = 650000, B2 = 15500000 (P-1 stage 2)
B1 = 405000, B2 = 8302500 (P-1 stage 2)
B1 = 650000 (P-1 stage 1)
B1 = 405000 (P-1 stage 1)
101
102
103
104
105
106
101
102
103
104
105
106
107
108
TF factor-bounds graph:
271
270
269
268
this exponent TF target: 71
TF double-checked to: 67
250
260
270
280
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Last modified: 2024-03-13T02:15:48+00:00