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Table 4

Details on PROSPER’s peak flux fits for the combined solar flares & CME bins, derived by equation (13). The filtering on the integral energy is first applied and then bins on the solar flare magnitude and CME speed are applied. These fits are presented in Figure 11.

If an event reaches E > 10 MeV If an event reaches E > 100 MeV
Flare flux < M3.0
M3.0 < Flare flux < X1.0
Flare flux > X1.0
Flare flux < M6.0
M6.0 < Flare flux < X3.0
Flare flux > X3.0
V CME < 1250 km/s
V CME < 1400 km/s
V CME < 1600 km/s
E > 10 MeV
γ = 0.45 γ = 0.69 γ = 0.22 V CME < 1350 km/s
V CME < 1350 km/s
V CME < 1600 km/s
x low = 2.98E+00 x low = 3.30E+00 x low = 4.63E+00 γ =  γ = 0.48 γ = 
x lim = 3.85E+01
x lim = 6.49E+02
x lim = 4.27E+02
x low =  x low = 8.70E+00 x low = 
V CME > 1250 km/s
V CME > 1400 km/s
V CME > 1600 km/s
x lim = 
x lim = 8.49E+02
x lim = 
γ = 0.35 γ = 0.23 γ = 0.21 V CME > 1350 km/s
V CME > 1350 km/s
V CME > 1600 km/s
x low = 4.23E+00 x low = 4.87E+00 x low = 2.82E+01 γ = 0.36 γ = 0.18 γ = 0.18
x lim = 1.58E+03
x lim = 8.19E+03
x lim = 1.35E+04
x low = 2.47E+01 x low = 1.85E+01 x low = 6.16E+01
If an event reaches E > 30 MeV
x lim = 2.38E+04
x lim = 1.17E+04
x lim = 1.35E+04
Flare flux < M3.0
M3.0 < Flare flux < X1.0
Flare flux > X1.0
E > 30 MeV
E > 10 MeV
V CME < 1350 km/s
V CME < 1350 km/s
V CME < 1600 km/s
V CME < 1250 km/s
V CME < 1350 km/s
V CME < 1650 km/s
γ = 0.41 γ = 0.47 γ = 
γ = 0.17 γ = 0.64 γ = 0.26 x low = 2.96E+00 x low = 2.38E+00 x low = 
x low = 6.14E+00 x low = 4.05E+00 x low = 7.80E+00 x lim = 9.71E+00
x lim = 1.01E+02
x lim = 
x lim = 2.98E+01
x lim = 7.45E+02
x lim = 4.59E+02
V CME > 1350 km/s
V CME > 1350 km/s
V CME > 1600 km/s
V CME > 1250 km/s
V CME > 1350 km/s
V CME > 1650 km/s
γ = 0.24 γ = 0.26 γ = 0.16
γ = 0.32 γ = 0.22 γ = 0.21 x low = 2.23E+00 x low = 4.97E+00 x low = 1.64E+01
x low = 6.06E+00 x low = 5.27E+00 x low = 2.82E+01 x lim = 4.47E+02
x lim = 3.14E+03
x lim = 1.76E+03
x lim = 1.50E+03
x lim = 8.04E+03
x lim = 1.35E+04
E > 100 MeV
E > 30 MeV
V CME < 1350 km/s
V CME < 1350 km/s
V CME < 1600 km/s
V CME < 1250 km/s
V CME < 1350 km/s
V CME < 1650 km/s
γ = 1.88 γ = 0.77 γ = 
γ = 0.29 γ = 0.05 γ = 0.40 x low = 4.04E−01 x low = 4.60E−01 x low = 
x low = 1.26E+01 x low = 5.86E+00 x low = 1.33E+00 x lim = 4.66E+02
x lim = 4.67E+00
x lim = 
x lim = 1.48E+00
x lim = 4.77E+00
x lim = 2.82E+02
V CME > 1350 km/s
V CME > 1350 km/s
V CME > 1600 km/s
V CME > 1250 km/s
V CME > 1350 km/s
V CME > 1650 km/s
γ = 0.34 γ = 0.32, γ = 0.26
γ = 0.63 γ = 0.33 γ = 0.18 x low = 3.75E−01 x low = 2.33E − 01 x low = 1.18E+00
x low = 1.19E+00 x low = 1.08E+00 x low = 2.14E+00 x lim = 6.82E+00 x lim = 1.11E + 02 x lim = 2.92E+02
x lim = 1.23E+03 x lim = 2.66E+03 x lim = 2.00E+03

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