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A083435
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Palindromes with distinct prime signatures that occur naturally. Smallest palindrome with a prime signature of A025487(n), or 0 if no such number exists.
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2
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1, 2, 4, 6, 8, 44, 14641, 88, 66, 0, 484, 272, 414, 0, 36963, 25952, 616, 0, 44944, 252, 2912192, 858, 1367631, 2992, 0, 72783738727, 6776, 2179712, 4004, 11000330003300011, 27872, 0, 0, 63536, 2513152, 8008, 121003630036300121
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| 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 (wasserma(AT)spawar.navy.mil), Feb 17 2005
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EXAMPLE
| 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.
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CROSSREFS
| Cf. A025487.
Sequence in context: A108425 A059569 A083433 * A163502 A110995 A075401
Adjacent sequences: A083432 A083433 A083434 * A083436 A083437 A083438
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KEYWORD
| base,nonn
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AUTHOR
| Amarnath Murthy and Meenakshi Srikanth (amarnath_murthy(AT)yahoo.com), Apr 29 2003
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EXTENSIONS
| More terms from David Wasserman (wasserma(AT)spawar.navy.mil), Feb 17 2005
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