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A113840 Palindromes that are sandwiched between a prime and a powerful(1) number, in any order. 0

%I #8 Dec 17 2012 14:39:01

%S 2,3,8,242,676,42024,625946649526,678176310013671876

%N Palindromes that are sandwiched between a prime and a powerful(1) number, in any order.

%C Here we are considering powerful numbers (first definition) A001694. Note that, by definition, 1 is powerful.

%C a(9) > 10^18. [From _Donovan Johnson_, Oct 01 2009]

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/PowerfulNumber.html">Powerful Number.</a>

%e 42023 prime, 42024 palindrome, 42025=5^2*41^2 powerful(1).

%e 625946649525=3^2*5^2*29^2*149^3 powerful(1), 625946649526 palindrome, 625946649527 prime.

%Y Cf. A001694, A002113.

%K base,hard,nonn

%O 1,1

%A _Giovanni Resta_, Jan 24 2006

%E a(8) from _Donovan Johnson_, Oct 01 2009

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