64 of 100: Prime Octet

A=8!+3E=8!+7B=8!+4F=8!+8C=8!+5G=8!+9D=8!+6H=8!+10\begin{array}{cc} \Large &\color{#D61F06}A \color{#333333} = 8! + 3 &\color{teal}E \color{#333333} = 8! + 7 \\ \Large &\color{#EC7300}B \color{#333333} = 8! + 4 &\color{#3D99F6}F \color{#333333} = 8! + 8 \\ \Large &\color{gold}C \color{#333333} = 8! + 5 &\color{#BA33D6}G \color{#333333} = 8! + 9 \\ \Large &\color{#20A900}D \color{#333333} = 8! +6 &\color{#69047E}H \color{#333333} = 8! + 10 \end{array}

How many of these eight numbers are prime?

For your own safety and well-being, do not use a calculator on this one!

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