is 2 1225909 - 1
has 369036 decimal digits
takes 0.038 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L8B8524E821D71CB5double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26724.238368.6567 %1205000349450000.13536.1934 %24.373670.5979 %
Target2600.125365.0000 %50001500000.00060.8299 %0.125965.2905 %
Difference+7+24.1130+3.6567 %+1200000+34795000+0.1347+5.3635%+24.2477+5.3075 %

Known prime factors (1 factor, 78.9 bits, 0.00643532% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
12259095605346214596686392287512478.891228619996043616875
54 × 151 × 2417 × 1002260461
2015-03-052417100226046149,9362.42824.5351

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-09-22Jossv4_computers10001000--4.45000e-50.039%
2002-12-09Mr. P-1v4_computers2000039500012--0.0022.826%
2013-10-07David CampeauManual testing12050003494500012--0.14011.217%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-11-14ANONYMOUSv4_computers212570.016
2003-05-26ANONYMOUSv4_computers212580.031
2022-03-07LordJuliusManual testing258260
2022-04-13LordJuliusManual testing21261
2009-02-17Sturle Sundegorilla.ifi2602610.125
2012-09-13AxelssonManual testing2612620.251
2022-04-13LordJuliusManual testing261262
2012-10-18dbaughManual testing2622630.801
2022-04-13LordJuliusManual testing262263
2022-04-13LordJuliusManual testing263264


ECM factoring results:
Total ECM effort:19.021 GHz-days
Estimated T-Level:25.658
DigitsB1CompleteFacMiss
201100014.8080.000%
25500001.62019.795%
302500000.13287.678%
3510000000.00999.129%


ECM Summary

B1B2factorcurvesGHz-days
50000500000027810.49
50000500000030.115
25000025000000448.411


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-08-17ANONYMOUSv4_computers8B8524E821D71CB50.038


PRP results:
dateuseridcompidcofactorsres64
2017-09-29Oliver KruseGTX-2
560534621459668639228751
82F8FEEAE45AE804
2017-10-19kkmrkkblmbrbkc4.xlarge
560534621459668639228751
82F8FEEAE45AE804


CERT results:
No CERT results for M1225909


P-1 factor-bounds graph:
B1 = 1205000, B2 = 34945000 (P-1 stage 2)
B1 = 1205000 (P-1 stage 1)
B1 = 20000, B2 = 395000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
B1 = 1000 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
264
263
262
261
260
258
257
this exponent TF target: 60
TF double-checked to: 67
ECM T-Level=25.66 ~= 69-bit
250
260
270
280
JSON version of this page
Last modified: 2024-02-09T03:30:02+00:00