is 2 3934767961 - 1
has 1184483183 decimal digits
takes 987,153.129 GHz-days to do one PRP test
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual281124.463160.4938%----124.463160.4938%
Target292254,900.457965.2174%200000009600000000197,146.23064.2293%452,046.688466.6884%
Difference-11-254,775.9948-4.7236%-20000000-9600000000-197,146.2306-4.2293%-451,922.2253-6.1946%

Known prime factors (7 factors, 339.2 bits, 0.00000862% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
39347679612833032931931238.04436
22 × 32		2012-08-20991.010e-110.00330.0067
3934767961464617400834891445.4015904
24 × 32 × 41		2019-08-0716411.259e-90.00630.0118
3934767961537331912754171445.6116828
22 × 3 × 569		2019-08-0745691.498e-90.01270.0209
39347679611266995283442011546.84816100
22 × 52 × 7 × 23		2019-08-0725253.177e-90.00910.0185
393476796119614031331992811650.801249240
23 × 3 × 5 × 31 × 67		2019-08-0731675.446e-80.01200.0230
3934767961526891478141801831755.5486695331
3 × 17 × 53 × 2477		2019-10-055324771.542e-60.06730.0917
39347679611427668464010425431856.98618141711
3 × 72 × 167 × 739		2019-10-171677393.781e-60.07210.1236

120 Composite Factors:
P-1 results:
No P-1 results for M3934767961


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2019-08-0724524645.401146.80701e-11232,9991.46132e-10
2019-08-0724524645.611143.06315e-10232,9996.57594e-10
2019-08-0724624746.848157.94151e-10232,9991.70487e-9
2019-08-0725025150.801161.63368e-8232,9993.50717e-8
TF systematically completed to 64 but no per-exponent detailed record exists
2019-10-0625525655.548173.22380e-7232,9996.92081e-7
2019-10-1725625756.986181.34180e-6232,9992.88055e-6
2022-01-18ramgeisr4mg31s275276--1.945--
2022-01-19ramgeisr4mg31s276277--3.889--
2022-01-21ramgeisr4mg31s277278--7.779--
2022-01-29ramgeisr4mg31s278279--15.56--
2022-02-06ramgeisr4mg31s279280--31.12--
2022-04-14ramgeisr4mg31s280281--62.23--


ECM factoring results:
No ECM results for M3934767961


Lucas-Lehmer results:
No L-L results for M3934767961


PRP results:
No PRP results for M3934767961


P-1 factor-bounds graph:
100
101
102
103
100
101
102
103
104
TF factor-bounds graph:
281
280
279
278
277
276
257
256
251
247
246
this exponent TF target: 92
250
260
270
280
290
2100
Last modified: 2023-07-11T14:45:05+00:00