4637 (the 625th prime)

 
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Octal(11035)8
Hexadecimal(121D)16
Prime gap2
120th Twin prime (the small number)The big number is 4549 .
77th Prime triplet (the smallest number)The others are 4639 and 4643 .
227th Sexy prime (the small number)The big number is 4643 .
308th Prime of the Form 4n+1342 + 592