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A074674 Differences between successive four-digit distinct-digit primes. 7
10, 14, 6, 18, 6, 4, 140, 12, 10, 20, 4, 6, 8, 10, 20, 40, 42, 14, 4, 2, 10, 14, 6, 24, 4, 2, 4, 30, 20, 6, 18, 12, 4, 14, 10, 2, 18, 10, 20, 36, 4, 12, 14, 30, 6, 24, 6, 34, 24, 20, 6, 6, 28, 66, 14, 30, 22, 14, 10, 6, 12, 2, 4, 2, 48, 6, 10, 26, 130, 32, 6, 4, 6, 14, 10, 8, 28, 20, 22 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

There are exactly 510 four-digit primes with all distinct digits, so the sequence of differences is finite as well.

LINKS

Harvey P. Dale, Table of n, a(n) for n = 1..509

EXAMPLE

a(1)=10 because the first and second four-digit primes with all distinct digits are 1039, 1049 and difference between them is 10.

MATHEMATICA

se=Select[Range[1039, 9871, 2], Length[Union[IntegerDigits[ # ]]]==4&&PrimeQ[ # ]&]; Flatten[Table[{se[[i+1]]-se[[i]]}, {i, 509}]]

Differences[Select[Prime[Range[169, 1229]], Length[Union[ IntegerDigits[#]]] == 4&]] (* Harvey P. Dale, Oct 11 2015 *)

CROSSREFS

The first differences of the A074673. For 3-digit distinct-digit primes, see A074675, A074676. 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: A153584 A053612 A072146 * A241041 A164936 A102361

Adjacent sequences:  A074671 A074672 A074673 * A074675 A074676 A074677

KEYWORD

fini,nonn,base

AUTHOR

Zak Seidov, Aug 30 2002

STATUS

approved

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Last modified December 10 20:35 EST 2019. Contains 329909 sequences. (Running on oeis4.)