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A074676 Differences between consecutive three-digit distinct-digit primes. 6
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

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

LINKS

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

EXAMPLE

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.

MATHEMATICA

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

Sequence in context: A255566 A302461 A303243 * A257505 A152883 A285793

Adjacent sequences:  A074673 A074674 A074675 * A074677 A074678 A074679

KEYWORD

nonn,base,fini,full

AUTHOR

Zak Seidov, Aug 30 2002

STATUS

approved

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Last modified September 19 15:17 EDT 2021. Contains 347564 sequences. (Running on oeis4.)