A074675 Three-digit distinct-digit primes.

103, 107, 109, 127, 137, 139, 149, 157, 163, 167, 173, 179, 193, 197, 239, 241, 251, 257, 263, 269, 271, 281, 283, 293, 307, 317, 347, 349, 359, 367, 379, 389, 397, 401, 409, 419, 421, 431, 439, 457, 461, 463, 467, 479, 487, 491, 503, 509, 521, 523, 541

Offset: 1

Author

Zak Seidov, Aug 30 2002

Keywords

• fini
• full
• nonn
• base

Comments

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

Examples

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

Links

• Nathaniel Johnston, Table of n, a(n) for n = 1..97 (full sequence)

Crossrefs

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.

Programs

Mathematica

Select[Range[103, 983, 2], Length[Union[IntegerDigits[ # ]]]==3&&PrimeQ[ # ]&]
Select[Prime[Range[26,168]],Length[Union[IntegerDigits[#]]]==3&] (* Harvey P. Dale, Jan 14 2020 *)