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Search: id:A074675
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| A074675 |
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Three-digit distinct-digit primes. |
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+0
5
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| 103, 107, 109, 127, 137, 139, 149, 157, 163, 167, 173, 179, 193, 197, 239, 241, 251, 257, 263, 269, 271, 281, 283, 293, 307, 317, 347, 349, 359, 367, 379, 389, 397, 401, 409, 419, 421, 431, 439, 457, 461, 463, 467, 479, 487, 491, 503, 509, 521, 523, 541
(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)=103 and a(510)=983 because these are the first and the last three-digit primes with all distinct digits.
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MATHEMATICA
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Select[Range[103, 983, 2], Length[Union[IntegerDigits[ # ]]]==3&&PrimeQ[ # ]&]
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CROSSREFS
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The first differences are in A074676. 4-digit distinct-digit primes are in A074673, see also A074674. 5-digit distinct-digit primes are in A074671, see also A074672. 6-digit distinct-digit primes are in A074669, see also A074670. 7-digit distinct-digit primes are in A074667, see also A074668. 8-digit distinct-digit primes are in A074665, see also A074666.
Sequence in context: A097725 A129751 A094095 this_sequence A046076 A066131 A095639
Adjacent sequences: A074672 A074673 A074674 this_sequence A074676 A074677 A074678
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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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