|
Search: id:A082646
|
|
|
| A082646 |
|
Primes whose decimal expansions contain equal numbers of each of their digits. |
|
+0
1
|
|
| 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 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
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
All repunit primes (A004022) are terms. There are no terms of prime p digit- length for p >= 11 unless p is a term of A004023 - in which case there is exactly one such term here, the repunit prime of length p. The smallest term whose digits are neither all the same nor all different is 100313. No term of digit-length 10 can have digits all different because such a term would be divisible by 3 (as 45, the sum of its digits, would be divisible by 3).
|
|
EXAMPLE
|
The prime 101 is not a term because it contains two 1's but only one 0. The
prime 127 is a term because it has one 1, one 2 and one 7.
|
|
CROSSREFS
|
Cf. A004022 (repunit primes), A004023 (digit lengths of repunit primes).
Sequence in context: A030291 A032758 A052085 this_sequence A038618 A030475 A069676
Adjacent sequences: A082643 A082644 A082645 this_sequence A082647 A082648 A082649
|
|
KEYWORD
|
base,nonn
|
|
AUTHOR
|
Rick L. Shepherd (rshepherd2(AT)hotmail.com), May 24 2003
|
|
|
Search completed in 0.002 seconds
|
