

A074674


Differences between successive fourdigit distinctdigit 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
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OFFSET

1,1


COMMENTS

There are exactly 510 fourdigit 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 fourdigit 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 3digit distinctdigit primes, see A074675, A074676. For 5digit distinctdigit primes, see A074671, A074672. For 6digit distinctdigit primes, see A074669, A074670. For 7digit distinctdigit primes, see A074667, A074668. For 8digit distinctdigit 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



