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Three-digit distinct-digit primes.
9

%I #17 Jan 14 2020 13:14:27

%S 103,107,109,127,137,139,149,157,163,167,173,179,193,197,239,241,251,

%T 257,263,269,271,281,283,293,307,317,347,349,359,367,379,389,397,401,

%U 409,419,421,431,439,457,461,463,467,479,487,491,503,509,521,523,541

%N Three-digit distinct-digit primes.

%C There are exactly 97 three-digit primes with all distinct digits, so the sequence is finite.

%H Nathaniel Johnston, <a href="/A074675/b074675.txt">Table of n, a(n) for n = 1..97</a> (full sequence)

%e a(1)=103 and a(97)=983 because these are the first and the last three-digit primes with all distinct digits.

%t Select[Range[103, 983, 2], Length[Union[IntegerDigits[ # ]]]==3&&PrimeQ[ # ]&]

%t Select[Prime[Range[26,168]],Length[Union[IntegerDigits[#]]]==3&] (* _Harvey P. Dale_, Jan 14 2020 *)

%Y The first differences are in A074676. 4-digit distinct-digit primes are in A074673, see also A074674. 5-digit distinct-digit primes are in A074671, see also A074672. 6-digit distinct-digit primes are in A074669, see also A074670. 7-digit distinct-digit primes are in A074667, see also A074668. 8-digit distinct-digit primes are in A074665, see also A074666.

%K fini,full,nonn,base

%O 1,1

%A _Zak Seidov_, Aug 30 2002