A074676 Differences between consecutive three-digit distinct-digit primes.

4, 2, 18, 10, 2, 10, 8, 6, 4, 6, 6, 14, 4, 42, 2, 10, 6, 6, 6, 2, 10, 2, 10, 14, 10, 30, 2, 10, 8, 12, 10, 8, 4, 8, 10, 2, 10, 8, 18, 4, 2, 4, 12, 8, 4, 12, 6, 12, 2, 18, 6, 16, 6, 2, 16, 6, 8, 6, 6, 4, 2, 12, 10, 2, 4, 6, 6, 14, 10, 8, 10, 8, 10, 20, 4, 8, 10, 8, 40, 12, 2, 4, 2, 10, 14, 4, 2

Offset: 1

Author

Zak Seidov, Aug 30 2002

Keywords

• nonn
• base
• fini
• full

Comments

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

Examples

			a(1)=4 because the first and the second three-digit primes with all distinct digits are 103, 107 and difference between them is 4.
		

Links

• Jinyuan Wang, Table of n, a(n) for n = 1..96

Crossrefs

The first differences of the A074675. For 4-digit distinct-digit primes, see A074673, A074674. For 5-digit distinct-digit primes, see A074671, A074672. For 6-digit distinct-digit primes, see A074669, A074670. For 7-digit distinct-digit primes, see A074667, A074668. For 8-digit distinct-digit primes, see A074665, A074666.

Programs

Mathematica

se=Select[Range[103, 983, 2], Length[Union[IntegerDigits[ # ]]]==3&&PrimeQ[ # ]&]; Flatten[Table[{se[[i+1]]-se[[i]]}, {i, 96}]]