is 2 1226263 - 1
has 369142 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-L3531F063E119040Adouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26724.231368.6567 %300000100000000.03684.1729 %24.268169.9646 %
Target2600.125365.0000 %50001500000.00060.8299 %0.125865.2905 %
Difference+7+24.1060+3.6567 %+295000+9850000+0.0363+3.3429%+24.1423+4.6742 %

Known prime factors (1 factor, 68.1 bits, 0.00555326% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
12262633157880982343014357372168.098128760346774836
22 × 32 × 7 × 23 × 1031 × 21547411
2013-10-0710312154741148.6070.05220.0975

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-09-22Jossv4_computers10001000--4.45000e-50.039%
2002-12-09Mr. P-1v4_computers2000039500012--0.0022.826%
2016-03-17alpertronManual testing3000001000000012---8.299%


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


ECM factoring results:
Total ECM effort:19.063 GHz-days
Estimated T-Level:25.658
DigitsB1CompleteFacMiss
201100014.8080.000%
25500001.62019.795%
302500000.13287.678%
3510000000.00999.129%


ECM Summary

B1B2factorcurvesGHz-days
10.038
50000500000028110.61
25000025000000448.411


Lucas-Lehmer results:
No L-L results for M1226263


PRP results:
dateuseridcompidcofactorsres64
2017-09-29Oliver KruseGTX-1
315788098234301435737
78E286341AE8961E
2017-10-19kkmrkkblmbrbkc4.xlarge
315788098234301435737
78E286341AE8961E


CERT results:
No CERT results for M1226263


P-1 factor-bounds graph:
B1 = 300000, B2 = 10000000 (P-1 stage 2)
B1 = 300000 (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
102
103
104
105
106
107
108
TF factor-bounds graph:
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
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Last modified: 2024-02-29T14:28:04+00:00