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Search: id:A074673
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| A074673 |
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Four-digit distinct-digit primes. |
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+0
6
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| 1039, 1049, 1063, 1069, 1087, 1093, 1097, 1237, 1249, 1259, 1279, 1283, 1289, 1297, 1307, 1327, 1367, 1409, 1423, 1427, 1429, 1439, 1453, 1459, 1483, 1487, 1489, 1493, 1523, 1543, 1549, 1567, 1579, 1583, 1597, 1607, 1609, 1627, 1637, 1657, 1693, 1697
(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. The end of the sequence is: 8761, 8923, 8941, 8951, 8963, 8971, 9013, 9041, 9043, 9067, 9103, 9127, 9137, 9157, 9173, 9187, 9203, 9241, 9257, 9281, 9283, 9341, 9371, 9403, 9413, 9421, 9431, 9437, 9461, 9463, 9467, 9473, 9521, 9547, 9587, 9601, 9613, 9623, 9631, 9643, 9721, 9743, 9781, 9803, 9817, 9851, 9857, 9871.
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EXAMPLE
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a(1)=1039 and a(510)=9871 because these are the first and the last four-digit primes with all distinct digits.
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MATHEMATICA
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Select[Range[1039, 9871, 2], Length[Union[IntegerDigits[ # ]]]==5&&PrimeQ[ # ]&]
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CROSSREFS
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The first differences are in 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: A163559 A159052 A065572 this_sequence A020395 A069456 A031129
Adjacent sequences: A074670 A074671 A074672 this_sequence A074674 A074675 A074676
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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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