is 2 2663 - 1
has 802 decimal digits
takes 0.000 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
Actual26711,158.061482.0896 %10000000001910000000000.481516.2803 %11,158.542985.0054 %
Target2440.000972.7273 %500500000.00000.8339 %0.000972.9547 %
Difference+23+11,158.0605+9.3623 %+999999500+190999950000+0.4815+15.4464%+11,158.5420+12.0507 %

Known prime factors (4 factors, 198.3 bits, 7.44564672% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
266363913515.96412
22 × 3
-441.643e-121.697e-103.453e-10
266315743657823.9082956
22 × 739
-47396.881e-101.868e-93.191e-9
266339399120865089068411961.773739750673396340
22 × 32 × 5 × 89 × 103 × 448317439
2005-11-01103448317439211.230.00100.0019
26631228330830080322129606306769913096.63323062914571541910056445865
5 × 31 × 137 × 1086080271793826703859
2005-11-0113710860802717938267038596.763e+122.510e+94.687e+9

11 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2021-07-05ViliamF31000000000191000000000
skipped known factor: 63913
skipped known factor: 15743657
skipped known factor: 3939912086508906841
--0.48147.006%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2005-11-01ANONYMOUSv4_computers??
61.773
19


ECM factoring results:
Total ECM effort:3,514.884 GHz-days
Estimated T-Level:50.755
DigitsB1CompleteFacMiss
20110005,864.3890.000%
25500002,119.5220.000%
30250000656.9120.000%
351000000158.1860.000%
40300000033.4930.000%
45110000006.1590.211%
50440000001.01436.284%
551100000000.15185.987%
602600000000.02097.981%
658000000000.00299.760%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
11000000110000002,34510.67
1100000011000000005,75038.35
44000000440000005,47499.7
440000002514216705166,5083,366


Lucas-Lehmer results:
No L-L results for M2663


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseOliver-PCCD7D53F10B272C__
2017-10-02kkmrkkblmbrbkManual testing
63913
15743657
3939912086508906841
122833083008032212960630676991
CD7D53F10B272C53
2017-12-07ATHManual testing
63913
15743657
3939912086508906841
122833083008032212960630676991
CD7D53F10B272C53
2020-04-17Oliver KruseIOS-1
63913
15743657
3939912086508906841
122833083008032212960630676991
0209CB3E244B7E27
2024-02-03Wentao HuangManual testing
63913
15743657
3939912086508906841
122833083008032212960630676991
0209CB3E244B7E27


CERT results:
No CERT results for M2663


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 191000000000 (P-1 stage 2)
B1 = 1000000000 (P-1 stage 1)
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1010
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1022
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=50.75 ~= 152-bit
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Last modified: 2024-03-13T02:15:48+00:00