6367 (the 830th prime)

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Octal(14337)8
Hexadecimal(18DF)16
Prime gap6
300th Sexy prime (the small number)The big number is 6373 .
407th Prime of the Form 3n+1622 + 3 * 292
423rd Prime of the Form 4n+3 
115th Left-truncatable prime 
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