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Search: id:A074676
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| A074676 |
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Differences between consecutive three-digit distinct-digit primes. |
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+0
5
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| 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; listen)
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OFFSET
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1,1
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COMMENT
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There are exactly 97 four-digit primes with all distinct digits, so the sequence is finite.
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EXAMPLE
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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.
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MATHEMATICA
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se=Select[Range[103, 983, 2], Length[Union[IntegerDigits[ # ]]]==3&&PrimeQ[ # ]&]; Flatten[Table[{se[[i+1]]-se[[i]]}, {i, 96}]]
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CROSSREFS
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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: A084623 A137393 A122749 this_sequence A152883 A117692 A052966
Adjacent sequences: A074673 A074674 A074675 this_sequence A074677 A074678 A074679
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KEYWORD
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fini,nonn,base
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AUTHOR
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Zak Seidov (zakseidov(AT)yahoo.com), Aug 30 2002
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