is 2 1844441 - 1
has 555233 decimal digits
takes 0.100 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L5C353B479E6470BEdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26716.110068.6567 %7000007968580623.46729.4436 %19.577271.6166 %
Target2610.166565.5738 %90007500000.00391.6300 %0.170466.1349 %
Difference+6+15.9434+3.0829 %+691000+796108062+3.4633+7.8136%+19.4068+5.4817 %

Known prime factors (1 factor, 68.5 bits, 0.00371231% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
18444414092136803742426353432168.471110931626540031
3 × 11 × 1474961 × 2279087
2008-10-171474961227908732.3160.11950.2361

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2022-04-12Lisander ViaeneDesktop500100500100--0.0393.938%
2022-08-27USAFSS6917th_Scty_Sq700000796858062--4.20215.024%


Trial Factoring results:
5758596061626364656667
No TF results for M1844441


ECM factoring results:
Total ECM effort:39.027 GHz-days
Estimated T-Level:25.700
DigitsB1CompleteFacMiss
201100015.0220.000%
25500001.67218.796%
302500000.14086.936%
3510000000.01099.053%


ECM Summary

B1B2factorcurvesGHz-days
10.155
500005000000322.212
50000660000021616.84
50000675000070.551
250000400000004519.27


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-26ANONYMOUSv4_computers5C353B479E6470BE0.100


PRP results:
dateuseridcompidcofactorsres64
2017-10-04Oliver KruseGTX-2
409213680374242635343
45FE65D4A131A203
2017-11-06kkmrkkblmbrbkold
409213680374242635343
45FE65D4A131A203


CERT results:
No CERT results for M1844441


P-1 factor-bounds graph:
B1 = 700000, B2 = 796858062 (P-1 stage 2)
B1 = 700000 (P-1 stage 1)
B1 = 500100 (P-1 stage 1)
104
105
106
107
104
105
106
107
108
109
TF factor-bounds graph:
this exponent TF target: 61
TF double-checked to: 67
ECM T-Level=25.7 ~= 69-bit
250
260
270
JSON version of this page
Last modified: 2024-03-03T02:29:32+00:00