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

1,1

Comments

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

Links

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

Example

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

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 *)

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.

Sequence in context: A094095 A187882 A212542 * A235155 A167841 A213311

Adjacent sequences: A074672 A074673 A074674 * A074676 A074677 A074678

Keyword

fini,full,nonn,base

Author

Zak Seidov, Aug 30 2002

Status

approved