5413 (the 714th prime)

 
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Octal(12445)8
Hexadecimal(1525)16
Prime gap4
84th Prime triplet (the smallest number)The others are 5417 and 5419 .
128th Cousin prime (the small number)The big number is 5417 .
259th Sexy prime (the small number)The big number is 5419 .
349th Prime of the Form 3n+1112 + 3 * 422
350th Prime of the Form 4n+1382 + 632