563

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Number

$563$ (five hundred and sixty-three) is:

The $103$rd prime number

The $3$rd and largest known Wilson prime after $5$, $13$:

$563^2 \divides \paren {563 - 1}! + 1$

The $9$th balanced prime after $5$, $53$, $157$, $173$, $211$, $257$, $263$, $373$:

$563 = \dfrac {557 + 569} 2$

The $19$th safe prime after $5$, $7$, $11$, $23$, $47$, $59$, $83$, $107$, $167$, $179$, $227$, $263$, $347$, $359$, $383$, $467$, $479$, $503$:

$563 = 2 \times 281 + 1$

Also see

• Previous: Wilson Prime
• Previous  ... Next: Balanced Prime
• Previous  ... Next: Safe Prime
• Previous  ... Next: Prime Number

Sources

• 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $563$
• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $563$