is 2 245521 - 1
has 73910 decimal digits
takes 0.001 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
Actual267121.023973.1343%30000000101202470268904,486.311423.3940%4,607.335379.4193%6.2850%
PrimeNet2400.000055.0000%2600650000.000013.9787%0.000061.2904%6.2904%
GPU722440.000059.0909%45001100000.000110.1319%0.000163.2358%4.1449%
Difference+23+121.0239+14.0434%+29995500+10120246916890+4,486.3113+13.2621%+4,607.3352+16.1835%+16.1835%

Known prime factors (1 factor, 67.7 bits, 0.02757738% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2455212411129789620644574872167.708491023128290583
3 × 7 × 335107 × 69774889
2007-08-2833510769774889189.090.03350.0578

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-06-09T00:00:00ANONYMOUSv4_computers10000010000000---0.005--2.704%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.548%
2002-08-03T00:00:00ANONYMOUSv4_computers655366553600---0.003--2.227%
2003-03-07T00:00:00ANONYMOUSv4_computers13107213107200---0.007--3.034%
2003-11-08T00:00:00ANONYMOUSv4_computers26214426214400---0.014--3.958%
2021-07-29T18:33:18Oliver KruseOllaptop30000000300000000024-
skipped known factor: 241112978962064457487
--1.561--12.551%
2022-04-13T06:35:15Oliver KruseThreadripper-PC3000000010120247026890-
skipped known factor: 241112978962064457487
--4,486--23.394%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-24T00:00:00ANONYMOUSv4_computers252253--0.002--
2000-04-19T00:00:00ANONYMOUSv4_computers21254--0.010--
2022-03-07T05:45:05LordJuliusManual testing254255--0.010--
2001-02-18T00:00:00ANONYMOUSv4_computers21256--0.039--
2002-04-14T00:00:00ANONYMOUSv4_computers21257--0.078--


ECM factoring results:

Old Calculation Method

Total ECM effort:10.751 GHz-days
Estimated T-Level:27.313
DigitsB1CurvesCompleteFacMiss
2011000600 / 1006.0000.241%
2550000570 / 2802.03613.011%
30250000296 / 6400.46362.948%

New Calculation Method

Total ECM effort:10.751 GHz-days
Estimated T-Level:27.313
DigitsB1CompleteFacMiss
201100038.2270.000%
25500005.2190.541%
302500000.53058.866%
3510000000.04395.837%
4030000000.00399.720%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
110001100000300.039
5000050000002741.637
250000250000002407.170
2500003275000070.231
25000033000000140.463
25000036250000210.721
25000037981454140.490


Lucas-Lehmer results:
No L-L results for M245521


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T06:33:05Oliver KruseOllaptop
241112978962064457487
958DBA50EDEB21__no
2017-09-22T10:05:52Oliver KruseManual testing
241112978962064457487
958DBA50EDEB21__no
2017-10-12T17:31:37kkmrkkblmbrbkc4.xlarge958DBA50EDEB21__no
2020-04-17T20:10:04Oliver KruseAddPrpType5
241112978962064457487
A9B78425AFCC91__no


P-1 factor-bounds graph:
B1 = 30000000, B2 = 10120247026890 (P-1 stage 2)
B1 = 30000000, B2 = 3000000000 (P-1 stage 2)
B1 = 30000000 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (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 = 100000 (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
1011
1012
1013
1014
TF factor-bounds graph:
267
257
256
255
254
253
250
260
270
280
290
2100
Last modified: 2022-07-20T09:58:59+00:00