is 2 1846609 - 1
has 555885 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-L2D12CDB7D32DC658double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26716.091168.6567 %4000004316318161.87968.1525 %17.970771.2120 %
Target2610.166365.5738 %90007500000.00391.6303 %0.170266.1350 %
Difference+6+15.9247+3.0829 %+391000+430881816+1.8757+6.5221%+17.8005+5.0769 %

Known prime factors (1 factor, 64.4 bits, 0.00348777% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1846609244320780852787411692064.4056615390178776
23 × 3 × 275641257449
2008-10-1982756412574491.92751,181.32,206.4

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2022-04-12Lisander ViaeneDesktop500100500100--0.0393.939%
2022-08-27USAFSS6917th_Scty_Sq400000431631816--2.27813.428%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2003-01-16ANONYMOUSv4_computers212580.021


ECM factoring results:
Total ECM effort:38.988 GHz-days
Estimated T-Level:25.700
DigitsB1CompleteFacMiss
201100014.9920.000%
25500001.67018.833%
302500000.14086.941%
3510000000.01099.052%


ECM Summary

B1B2factorcurvesGHz-days
10.155
500005000000322.212
50000660000022117.23
84000840000010.116
250000400000004519.28


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-27ANONYMOUSv4_computers2D12CDB7D32DC6580.100


PRP results:
dateuseridcompidcofactorsres64
2017-10-04Oliver KruseGTX-0
24432078085278741169
EB4F123CA1FA9899
2017-11-06kkmrkkblmbrbkc4.xlarge
24432078085278741169
EB4F123CA1FA9899


CERT results:
No CERT results for M1846609


P-1 factor-bounds graph:
B1 = 400000, B2 = 431631816 (P-1 stage 2)
B1 = 500100 (P-1 stage 1)
B1 = 400000 (P-1 stage 1)
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109
1010
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TF factor-bounds graph:
258
this exponent TF target: 61
TF double-checked to: 67
ECM T-Level=25.7 ~= 69-bit
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270
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Last modified: 2024-03-03T02:29:32+00:00