|
Search: id:A074674
|
|
|
| A074674 |
|
Differences between successive four-digit distinct-digit primes. |
|
+0
6
|
|
| 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)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
There are exactly 510 four-digit primes with all distinct digits, so the sequence of differences is finite as well.
|
|
EXAMPLE
|
a(1)=10 because the first and second four-digit primes with all distinct digits are 1039, 1049 and difference between them is 10.
|
|
MATHEMATICA
|
se=Select[Range[1039, 9871, 2], Length[Union[IntegerDigits[ # ]]]==4&&PrimeQ[ # ]&]; Flatten[Table[{se[[i+1]]-se[[i]]}, {i, 509}]]
|
|
CROSSREFS
|
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: A153584 A053612 A072146 this_sequence A164936 A102361 A121836
Adjacent sequences: A074671 A074672 A074673 this_sequence A074675 A074676 A074677
|
|
KEYWORD
|
fini,nonn,base
|
|
AUTHOR
|
Zak Seidov (zakseidov(AT)yahoo.com), Aug 30 2002
|
|
|
Search completed in 0.002 seconds
|
