|
Search: id:A133783
|
|
|
| A133783 |
|
Primes containing only digits from set (1,2,3,4,5,6). |
|
+0
2
|
|
| 2, 3, 5, 11, 13, 23, 31, 41, 43, 53, 61, 113, 131, 151, 163, 211, 223, 233, 241, 251, 263, 311, 313, 331, 353, 421, 431, 433, 443, 461, 463, 521, 523, 541, 563, 613, 631, 641, 643, 653, 661, 1123, 1151, 1153, 1163, 1213, 1223, 1231, 1321, 1361, 1423, 1433
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
0-free subset of A036960. "Dice Primes": the ordered sequence of prime numbers whose digits can be generated by successively throwing a regular dice with the numbers 1,2,...,6. There are n^6 elements of A057436 with n digits. Restricting to primes, we have 3 with 1 digit, 8 with 2 digits, 23 with 3 digits.
|
|
FORMULA
|
A000040 INTERSECTION A057436. A052382 INTERSECTION A036960.
|
|
MATHEMATICA
|
Select[Prime[Range[250]], Length[Intersection[IntegerDigits[ # ], {7, 8, 9, 0}]] == 0 &] - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Jan 03 2008
|
|
CROSSREFS
|
Cf. A000040, A036960, A052382, A057436.
Sequence in context: A020607 A128425 A036960 this_sequence A036958 A032024 A131741
Adjacent sequences: A133780 A133781 A133782 this_sequence A133784 A133785 A133786
|
|
KEYWORD
|
base,easy,nonn
|
|
AUTHOR
|
Jonathan Vos Post (jvospost3(AT)gmail.com), Jan 02 2008
|
|
EXTENSIONS
|
More terms from Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Jan 03 2008
|
|
|
Search completed in 0.002 seconds
|
