is 2 7151 - 1
has 2153 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
Actual2674,155.211580.5970%4000000004000000000.05907.4111%4,155.270582.0350%
Target2440.000370.4545%500100000.00001.1394%0.000370.7912%
Difference+23+4,155.2112+10.1425%+399999500+399990000+0.0590+6.2717%+4,155.2702+11.2438%

Known prime factors (5 factors, 259.5 bits, 3.62927484% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
715114303513.8041
1
-111.526e-131.474e-103.000e-10
715128644839074971341.381200285548
22 × 653 × 76679
-653766797.580e-57.069e-71.150e-6
7151283056353945211444.6861979138260
22 × 5 × 11 × 8996083
-1189960830.00067.226e-50.0001
7151353146309061841778874632374.9032469209264870939581
19 × 59 × 61 × 1423 × 25375671887
-142325375671887917,2960.20380.3807
7151326472205504616022538246312684.7552282703156933408072565
5 × 13 × 32220173 × 1089954113737
-322201731089954113737621,994,4348.758616.350

26 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-08-27Seth_TrManual testing100000000100000000-
skipped known factor: 14303
skipped known factor: 2864483907497
skipped known factor: 28305635394521
--0.015--5.487%
2021-08-27Seth_TrManual testing400000000400000000-
skipped known factor: 14303
skipped known factor: 2864483907497
skipped known factor: 28305635394521
--0.059--7.411%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2009-10-25Carsten Kossendeyv4_computers??99.872312.38011e+121.60405e-65.25132e+12


ECM factoring results:
Total ECM effort:236.034 GHz-days
Estimated T-Level:40.818
DigitsB1CompleteFacMiss
2011000914.8000.000%
2550000244.1430.000%
3025000052.2800.000%
3510000008.9670.013%
4030000001.29127.509%
45110000000.16484.902%
50440000000.01898.174%
551100000000.00299.811%


ECM Summary

B1B2factorcurvesGHz-days
30000003000000003,81924.30
1100000099324315090302211.7


Lucas-Lehmer results:
No L-L results for M7151


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21Oliver KruseOliver-PCCBE2000970448E__?
2017-09-21Oliver KruseManual testingCBE2000970448E__?
2017-10-02kkmrkkblmbrbkManual testing
14303
2864483907497
28305635394521
35314630906184177887463
32647220550461602253824631
CBE2000970448E__no
2017-12-07ATHManual testing
14303
2864483907497
28305635394521
35314630906184177887463
32647220550461602253824631
CBE2000970448E__no
2020-04-17Oliver KruseIOS-1
14303
2864483907497
28305635394521
35314630906184177887463
32647220550461602253824631
53C67985900102__no
2022-05-12Jorge CoveiroManual testing
14303
53C67985900102FBno


P-1 factor-bounds graph:
B1 = 400000000 (P-1 stage 1)
B1 = 100000000 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
109
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
TF factor-bounds graph:
2
this exponent TF target: 44
TF double-checked to: 67.8
ECM T-Level=40.82 ~= 119-bit
250
260
270
280
290
2100
2110
2120
Last modified: 2023-04-26T21:34:10+00:00