3793 (the 527th prime)

 
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Octal(7321)8
Hexadecimal(ED1)16
Prime gap4
103rd Cousin prime (the small number)The big number is 3797 .
261st Prime of the Form 3n+1552 + 3 * 162
259th Prime of the Form 4n+1332 + 522
37th Right-truncatable prime