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Search: id:A135066
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| A135066 |
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Primes p such that p^3 is a palindrome. |
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+0
2
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OFFSET
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1,1
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COMMENT
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Note that all first 4 listed terms are the palindromes. Corresponding palindromic cubes a(n)^3 are listed in A135067 = {8, 343, 1331, 1030301, ...}. PrimePi[ a(n) ] = {1, 4, 5, 26, ...}.
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LINKS
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P. De Geest, Palindromic Cubes
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FORMULA
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a(n) = A135067(n)^(1/3).
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EXAMPLE
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a(3) = 11 because 11^3 = 1331 is a palindrome.
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MATHEMATICA
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Do[ p = Prime[n]; f = p^3; If[ f == FromDigits[ Reverse[ IntegerDigits[ f ] ] ], Print[ {n, p, f} ]], {n, 1, 200000} ]
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CROSSREFS
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Cf. A002780 = Cube is a palindrome. Cf. A069748 = Numbers n such that n and n^3 are both palindromes. Cf. A002781 = Palindromic cubes. Cf. A135067 = Palindromic cubes p^3, where p is a prime.
Adjacent sequences: A135063 A135064 A135065 this_sequence A135067 A135068 A135069
Sequence in context: A106013 A073623 A101592 this_sequence A085315 A002780 A069885
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KEYWORD
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more,nonn,base
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AUTHOR
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Alexander Adamchuk (alex(AT)kolmogorov.com), Nov 16 2007
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