is 2 46520977 - 1
has 14004210 decimal digits
takes 80.766 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual27482.239664.8649%250000004025000000611.545112.1807%693.784769.1446%
Target27220.557063.8889%3200008800000012.83114.1138%33.388265.3744%
Difference+2+61.6825+0.9760%+24680000+3937000000+598.7140+8.0669%+660.3966+3.7701%

Known prime factors (8 factors, 385.0 bits, 0.00082750% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
4652097711165034491030.05612
22 × 3		-443.083e-121.007e-52.049e-5
46520977130258735611133.601140
22 × 5 × 7		2008-09-10572.534e-111.286e-52.562e-5
465209776284983992711239.1936755
5 × 7 × 193		2008-09-1071932.302e-94.313e-55.027e-5
46520977145692534929531443.728156588
22 × 3 × 13049		2008-10-014130494.769e-80.00180.0033
465209771615527455342231547.1991736343
33 × 7 × 9187		2008-10-012791877.383e-70.00130.0024
465209772856142342154727371857.9873069735984
24 × 32 × 7 × 137 × 22229		2015-08-06137222290.00040.00340.0057
46520977116292126201667744332063.334124988912208
24 × 32 × 2819 × 307903		2017-01-3028193079030.03860.04890.0789
4652097710738606025544170083692269.86311541681535992
23 × 3 × 163 × 21559 × 136849		2019-12-11215591368494.27530.07010.1105

247 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-02-02ViliamFManual testing1000000010000000116384.96225.17161.550.354.170%
2021-12-03Oliver KruseIOS-5250000004025000000-
skipped known factor: 1116503449
skipped known factor: 13025873561
skipped known factor: 628498399271
skipped known factor: 14569253492953
skipped known factor: 161552745534223
skipped known factor: 285614234215472737
skipped known factor: 11629212620166774433
skipped known factor: 1073860602554417008369
--611.5--12.181%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-10Will EdgingtonManual testing??33.601117.45402e-13184.41.70148e-12
2008-09-10Will EdgingtonManual testing??39.193127.27513e-10184.41.66065e-9
2008-10-01markrManual testing??43.728142.25062e-8184.45.13735e-8
2008-10-01markrManual testing??47.199153.35238e-7184.47.65227e-7
2015-07-31TJAOIManual testing257258*57.987187.50347e-6184.41.71276e-5
2022-06-26LordJuliusManual testing2126330.056103.08277e-12184.47.03685e-12
2022-06-26LordJuliusManual testing2126333.601112.53437e-11184.45.78504e-11
2022-06-26LordJuliusManual testing2126343.728144.76948e-8184.41.08870e-7
2022-06-26LordJuliusManual testing2126347.199157.38256e-7184.41.68517e-6
2022-06-26LordJuliusManual testing2126357.987180.000184.40.001
2022-06-26LordJuliusManual testing2126339.193122.30180e-9184.45.25418e-9
2017-01-30TJAOIManual testing263264*63.334200.004184.30.010
2022-11-17LordJuliusManual testing26326463.334200.004184.30.010
2022-11-17LordJuliusManual testing263264
skipped known factors(?)
--0.042--
2022-04-06James HeinrichManual testing264266--0.241--
2019-06-17Seth_TrManual testing266267--0.321--
2019-06-20Seth_TrManual testing267268--0.643--
2019-12-08Seth_TrManual testing268269--1.285--
2019-12-11Seth_TrManual testing26927069.863221.709179.23.792
2021-08-06Seth_TrManual testing269270
skipped known factors(?)
--2.570--
2019-12-13Seth_TrManual testing270271--5.140--
2019-12-13Seth_TrManual testing271272--10.28--
2019-12-15Seth_TrManual testing272273--20.56--
2019-12-31Seth_TrManual testing273274--41.12--


ECM factoring results:
No ECM results for M46520977


Lucas-Lehmer results:
No L-L results for M46520977


PRP results:
dateuseridcompidcofactorsres64PRP
2022-01-08Oliver KruseManual testing
1116503449
13025873561
628498399271
14569253492953
161552745534223
285614234215472737
11629212620166774433
1073860602554417008369
59C15DABA8270AA7no


P-1 factor-bounds graph:
B1 = 25000000, B2 = 4025000000 (P-1 stage 2)
B1 = 25000000 (P-1 stage 1)
B1 = 10000000 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
100
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
274
273
272
271
270
269
268
267
266
264
263
258
2
this exponent TF target: 72
TF double-checked to: 67.8
250
260
270
280
Last modified: 2023-06-05T21:50:05+00:00