is 2 125551 - 1
has 37795 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267236.668174.6269%10000000020000000000.770511.9208%237.438677.6515%3.0247%
PrimeNet2400.000057.5000%1400260000.00009.5100%0.000061.5418%4.0418%
GPU722440.000061.3636%2200360000.00006.1414%0.000063.7365%2.3728%
Difference+23+236.6681+13.2632%+99997800+1999964000+0.7705+5.7794%+237.4386+13.9151%+13.9151%

Known prime factors (1 factor, 78.6 bits, 0.06262887% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1255514681011146746841077364472478.6311864187121865553073
32 × 29 × 37 × 91951 × 2099378839
2007-10-03919512099378839972,3170.43340.8088

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-11-25T00:00:00ANONYMOUSv4_computers100000025000000---0.009--4.403%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.001--1.370%
2002-07-20T00:00:00ANONYMOUSv4_computers655366553600---0.002--1.996%
2003-02-09T00:00:00ANONYMOUSv4_computers13107213107200---0.003--2.750%
2003-09-29T00:00:00ANONYMOUSv4_computers26214426214400---0.006--3.622%
2017-03-15T23:45:27kkmrkkblmbrbkManual testing100000000200000000012---0.771--11.921%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-09-22T00:00:00ANONYMOUSv4_computers252253--0.005--
2000-04-19T00:00:00ANONYMOUSv4_computers21254--0.019--
2022-03-07T03:14:05LordJuliusManual testing254255--0.019--
2000-12-31T00:00:00ANONYMOUSv4_computers21256--0.076--
2002-06-02T00:00:00ANONYMOUSv4_computers21257--0.153--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.864 GHz-days
Estimated T-Level:30.223
DigitsB1CurvesCompleteFacMiss
2011000685 / 1006.8500.102%
2550000685 / 2802.4468.622%
30250000650 / 6401.01636.189%
35100000070 / 15660.04595.627%

New Calculation Method

Total ECM effort:11.864 GHz-days
Estimated T-Level:30.223
DigitsB1CompleteFacMiss
201100065.7400.000%
255000010.6270.002%
302500001.27128.063%
3510000000.12288.541%
4030000000.01099.025%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
500005000000350.096
250000250000005807.937
1000000100000000703.832


Lucas-Lehmer results:
No L-L results for M125551


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T21:41:30Oliver KruseOliver-PC
468101114674684107736447
4DAEAC3F9C8512__no
2017-09-21T21:57:26Oliver KruseManual testing
468101114674684107736447
4DAEAC3F9C8512__no
2017-10-13T19:02:19kkmrkkblmbrbkManual testing
468101114674684107736447
4DAEAC3F9C8512__no
2020-04-17T15:39:00Oliver KruseAddPrpType5
468101114674684107736447
71FB010DBB5D06__no


P-1 factor-bounds graph:
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 1000000, B2 = 25000000 (P-1 stage 2)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 262144 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
103
104
105
106
107
108
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
257
256
255
254
253
250
260
270
280
290
2100
Last modified: 2022-03-07T03:14:05+00:00