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A083435 Palindromes with distinct prime signatures that occur naturally. Smallest palindrome with a prime signature of A025487(n), or 0 if no such number exists. 2

%I #11 Aug 23 2014 14:05:58

%S 1,2,4,6,8,44,14641,88,66,0,484,272,414,0,36963,25952,616,0,44944,252,

%T 2912192,858,1367631,2992,0,72783738727,6776,2179712,4004,

%U 11000330003300011,27872,0,0,63536,2513152,8008,121003630036300121

%N Palindromes with distinct prime signatures that occur naturally. Smallest palindrome with a prime signature of A025487(n), or 0 if no such number exists.

%C Zero values are not proved. I have searched for a(33) (p^6*q^2) and a(42) (p^7*q^2) up to 10^20 and for the other six zeros (p^5 through p^10) up to 10^40. - _David Wasserman_, Feb 17 2005

%e a(7) = 14641 because A083435(7) = 16, the fourth power of a prime and 14641 is the smallest palindrome that is the fourth power of a prime.

%Y Cf. A025487.

%K base,nonn

%O 1,2

%A _Amarnath Murthy_ and Meenakshi Srikanth (menakan_s(AT)yahoo.com), Apr 29 2003

%E More terms from _David Wasserman_, Feb 17 2005

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Last modified April 24 11:49 EDT 2024. Contains 371936 sequences. (Running on oeis4.)