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Search: id:A074674
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| A074674 |
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Differences between successive four-digit distinct-digit primes. |
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+0
6
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| 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; listen)
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OFFSET
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1,1
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COMMENT
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There are exactly 510 four-digit primes with all distinct digits, so the sequence of differences is finite as well.
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EXAMPLE
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a(1)=10 because the first and second four-digit primes with all distinct digits are 1039, 1049 and difference between them is 10.
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MATHEMATICA
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se=Select[Range[1039, 9871, 2], Length[Union[IntegerDigits[ # ]]]==4&&PrimeQ[ # ]&]; Flatten[Table[{se[[i+1]]-se[[i]]}, {i, 509}]]
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CROSSREFS
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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: A075828 A053612 A072146 this_sequence A102361 A121836 A081062
Adjacent sequences: A074671 A074672 A074673 this_sequence A074675 A074676 A074677
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KEYWORD
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fini,nonn
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AUTHOR
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Zak Seidov (zakseidov(AT)yahoo.com), Aug 30 2002
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