is 2 225749 - 1
has 67958 decimal digits
takes 0.001 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
Actual267131.623773.1343%30000000100708329922204,464.407323.2802%4,596.030979.3887%
Target2440.000059.0909%40001000000.00019.6386%0.000163.0340%
Difference+23+131.6237+14.0434%+29996000+10070832892220+4,464.4072+13.6416%+4,596.0309+16.3547%

Known prime factors (2 factors, 191.8 bits, 0.08496986% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2257495785381176303977511859.0051281374707375
53 × 7 × 127 × 11530931
2014-04-23127115309310.60050.00510.0095
225749956797767619093230380216897541345020851340132.81321191628038642324669881525445103744
27 × 35 × 72 × 149 × 599 × 1871 × 3251 × 12155159 × 2107111451
2021-06-141215515921071114516.514e+111.02751.7445

1 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-05-13ANONYMOUSv4_computers10000010000000---0.005--2.670%
2002-06-02ANONYMOUSv4_computers327683276800---0.002--1.524%
2002-08-03ANONYMOUSv4_computers655366553600---0.003--2.197%
2021-06-14Oliver KruseOllaptop30000000300000000040132.8131.5610.0033.12112.472%
2022-03-15Oliver KruseThreadripper-PC3000000010070832992220-
skipped known factor: 578538117630397751
skipped known factor: 9567977676190932303802168975413450208513
--4,464--23.280%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-02-24ANONYMOUSv4_computers??59.005180.2600.0030.540
2003-08-25ANONYMOUSv4_computers??59.005180.2600.0030.540
1999-11-17ANONYMOUSv4_computers252253--0.003--
2000-04-19ANONYMOUSv4_computers21254--0.011--
2022-03-07LordJuliusManual testing254255--0.011--
2001-02-11ANONYMOUSv4_computers21256--0.043--
2002-04-07ANONYMOUSv4_computers21257--0.085--


ECM factoring results:
Total ECM effort:14.233 GHz-days
Estimated T-Level:28.483
DigitsB1CompleteFacMiss
201100047.7710.000%
25500006.7210.121%
302500000.69749.826%
3510000000.05794.491%
4030000000.00499.624%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002811.675
250000250000003349.95
25000033000000140.461
2500003440579970.235
2500003621419070.240
25000036250000210.719
2500003850000070.246
25000017295915080.706


Lucas-Lehmer results:
No L-L results for M225749


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22Oliver KruseOllaptop
578538117630397751
18750D7AC190F4__no
2017-09-22Oliver KruseManual testing
578538117630397751
18750D7AC190F4__no
2017-10-12kkmrkkblmbrbkc4.xlarge18750D7AC190F4__no
2020-04-17Oliver KruseAddPrpType5
578538117630397751
65F89CC3A92971__no
2021-06-14Daniil Tsarkov9900KF
578538117630397751
9567977676190932303802168975413450208513
65F89CC3A92971F2no
2021-06-14Daniil TsarkovManual testing
578538117630397751
9567977676190932303802168975413450208513
65F89CC3A92971F2no


P-1 factor-bounds graph:
B1 = 30000000, B2 = 10070832992220 (P-1 stage 2)
B1 = 30000000, B2 = 3000000000 (P-1 stage 2)
B1 = 30000000 (P-1 stage 1)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2023-01-21T08:07:16+00:00