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A110819 Non-palindromes in A110751; that is, non-palindromic numbers n such that n and R(n) have the same prime divisors, where R(n) = digit reversal of n. +0
6
1089, 2178, 4356, 6534, 8712, 9801, 10989, 21978, 24024, 26208, 42042, 43956, 48048, 61248, 65934, 80262, 84084, 84216, 87912, 98901, 109989, 219978, 231504, 234234, 242424, 253344, 255528, 264264, 272646, 275184, 277816, 288288, 405132 (list; graph; listen)
OFFSET

1,1

COMMENT

Trivially, if integer k is a term of this sequence, then R(k) is a term as well.

EXAMPLE

The prime divisors of 87912 and R(87912) = 21978 are both {2, 3, 11, 37}, so 87912 and 21978 are both in the sequence.

MATHEMATICA

r[n_] := FromDigits[Reverse[IntegerDigits[n]]]; Do[If[r[n] != n && Select[Divisors[n], PrimeQ] == Select[Divisors[r[n]], PrimeQ], Print[n]], {n, 1, 10^6}]

CROSSREFS

Cf. A110751.

Sequence in context: A165809 A010091 A157256 this_sequence A071685 A008919 A110843

Adjacent sequences: A110816 A110817 A110818 this_sequence A110820 A110821 A110822

KEYWORD

base,nonn

AUTHOR

Ryan Propper (rpropper(AT)stanford.edu), Sep 15 2005

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.


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