is 2 2032991 - 1
has 611992 decimal digits
takes 0.134 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
Actual26714.615968.6567 %500000150000000.12305.1331 %14.738870.2656 %
Target2620.302266.1290 %90006000000.00391.3280 %0.306166.5788 %
Difference+5+14.3137+2.5277 %+491000+14400000+0.1191+3.8051%+14.4327+3.6868 %

Known prime factors (2 factors, 110.8 bits, 0.00545117% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
20329914065983721.9551
1
-111.375e-139.534e-81.940e-7
20329915642831593269729911880442332788.867138781519280452542876
22 × 3 × 328111283 × 35247573631
2022-05-163281112833524757363144,689,734212.66341.95

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-03-17alpertronManual testing5000001500000012
skipped known factor: 4065983
---8.199%


Trial Factoring results:
5758596061626364656667
No TF results for M2032991


ECM factoring results:
Total ECM effort:122.499 GHz-days
Estimated T-Level:26.098
DigitsB1CompleteFacMiss
201100014.1550.000%
25500002.08312.451%
302500000.22080.290%
3510000000.01898.187%
4030000000.00199.876%


ECM Summary

B1B2factorcurvesGHz-days
5000050000632.777
500005000000271.988
50000500000040.295
50000676996070.678
50000689172070.595
50000690000070.595
500007000000504.279
25000020540169277111.3


Lucas-Lehmer results:
No L-L results for M2032991


PRP results:
dateuseridcompidcofactorsres64
2017-10-06Oliver KruseGTX-3
4065983
2F3AEF2D5D2016D2
2017-11-14kkmrkkblmbrbkc4.xlarge
4065983
2F3AEF2D5D2016D2
2022-05-17aperson12012_VP113
4065983
564283159326972991188044233
E2DAA263C70A8554


CERT results:
dateuseridcompid
2022-05-17Nerdy TrombonePrime_Finder_1660


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
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109
1010
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TF factor-bounds graph:
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=26.1 ~= 70-bit
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Last modified: 2024-03-13T02:15:48+00:00