|
Search: id:A074671
|
|
|
| A074671 |
|
Five-digit distinct-digit primes. |
|
+0
7
|
|
| 10243, 10247, 10253, 10259, 10267, 10273, 10289, 10357, 10369, 10427, 10429, 10453, 10457, 10459, 10463, 10487, 10529, 10567, 10589, 10597, 10627, 10639, 10657, 10687, 10723, 10729, 10739, 10753, 10789, 10837, 10847, 10853, 10859
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
There are exactly 2529 five-digit primes with all distinct digits. The end of the sequence is: 97241, 97283, 97301, 97381, 97423, 97453, 97463, 97501, 97523, 97561, 97583, 97613, 97651, 97813, 97841, 97843, 97861, 98017, 98041, 98047, 98057, 98123, 98143, 98207, 98213, 98251, 98257, 98317, 98321, 98327, 98347, 98407, 98453, 98467, 98473, 98507, 98543, 98561, 98563, 98573, 98621, 98627, 98641, 98713, 98731.
|
|
EXAMPLE
|
a(1)=10243 and a(2529)=98731 because these are the first and the last 5-digit primes with all distinct digits.
|
|
MATHEMATICA
|
Select[Range[10243, 98731, 2], Length[Union[IntegerDigits[ # ]]]==5&&PrimeQ[ # ]&]
|
|
CROSSREFS
|
The first differences are in 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: A105582 A100968 A031987 this_sequence A109176 A100502 A099746
Adjacent sequences: A074668 A074669 A074670 this_sequence A074672 A074673 A074674
|
|
KEYWORD
|
fini,nonn
|
|
AUTHOR
|
Zak Seidov (zakseidov(AT)yahoo.com), Aug 30 2002
|
|
|
Search completed in 0.002 seconds
|
