is 2 1301 - 1
has 392 decimal digits
takes 0.000 GHz-days to do one PRP test
Has been fully factored.
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-
Cofactor is a certified prime

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26722,839.291083.5821 %----22,839.291083.5821 %
Target2440.001875.0000 %500500000.00000.6607 %0.001875.1652 %
Difference+23+22,839.2892+8.5821 %-500-500000.0000-0.6607 %+22,839.2892+8.4169 %

Known prime factors (3 factors, 1,301.0 bits, 100.00000000% known):
Remaining cofactor is a certified-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
130116131783029686676794582920310738135336116.95761997628861209365082947426251876
22 × 3 × 631 × 38567 × 43441 × 4887072735383283139
2014-04-234344148870727353832831391.317e+146,295,22811,757,734
1301317201662092099046058074961996443185864238090346151.1521219068647548420622821195088379873888794151
32 × 29 × 170957 × 13675561 × 1997816591709931781632799183
2011-12-131367556119978165917099317816327991831.479e+142.573e+154.807e+15
1301
click to show decimal representation
3111,032.8902014-04-23

1 Composite Factors:
P-1 results:
No P-1 results for M1301


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-04-27Alex Kruppav4_computers2492510.173
1998-08-09ANONYMOUSv4_computers2512530.692
2000-01-19ANONYMOUSv4_computers2542551.845
2000-07-17ANONYMOUSv4_computers212567.378


ECM factoring results:
Total ECM effort:190.410 GHz-days
Estimated T-Level:48.928
DigitsB1CompleteFacMiss
20110004,240.0000.000%
25500001,590.0000.000%
30250000508.8000.000%
351000000123.4950.000%
40300000026.0120.000%
45110000004.8180.808%
50440000000.78645.581%
551100000000.11788.994%
602600000000.01698.449%
658000000000.00299.806%


ECM Summary

B1B2factorcurvesGHz-days
11.70109e-5
44000000440000000012,720190.4


Lucas-Lehmer results:
No L-L results for M1301


PRP results:
dateuseridcompidcofactorsres64
2017-11-16kkmrkkblmbrbkkel1
161317830296866767945829203107381353
3172016620920990460580749619964431858642380903
Probable Prime!
2017-12-07ATHManual testing
161317830296866767945829203107381353
3172016620920990460580749619964431858642380903
Probable Prime!


CERT results:
No CERT results for M1301


P-1 factor-bounds graph:
103
104
105
106
107
108
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
1023
1024
1025
1026
1027
1028
TF factor-bounds graph:
256
255
253
251
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=48.93 ~= 146-bit
250
260
270
280
290
2100
2110
2120
2130
2140
2150
2160
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00