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A046810 Number of anagrams of n that are primes. 13
0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0 (list; graph; refs; listen; history; internal format)
OFFSET

1,13

COMMENTS

An anagram of a k-digit number is one of the k! permutations of the digits that does not begin with 0.

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

EXAMPLE

107 has 2 prime anagrams: 107 and 701 (but not 017 or 071); so a(107) = 2.

MATHEMATICA

Table[Count[FromDigits/@Select[Permutations[IntegerDigits[n]], First[#] != 0&], _?(PrimeQ[#]&)], {n, 110}] (* From Harvey P. Dale, Aug 24 2011 *)

PROG

(Haskell)

import Data.List (permutations, nub)

a046810 n = length $ filter ((== 1) . a010051)

                   $ map read (nub $ filter ((> '0') . head)

                                            $ permutations $ show n)

-- Reinhard Zumkeller, Aug 14 2011

CROSSREFS

Cf. A039999, A055098.

Sequence in context: A178665 A170958 A178651 * A039999 A069842 A083056

Adjacent sequences:  A046807 A046808 A046809 * A046811 A046812 A046813

KEYWORD

nonn,easy,base,nice

AUTHOR

David W. Wilson (davidwwilson(AT)comcast.net)

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Last modified February 14 10:24 EST 2012. Contains 205614 sequences.