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A135067 Palindromic cubes p^3, where p is a prime. 1
8, 343, 1331, 1030301 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Corresponding primes p such that a(n) = p^3 are listed in A135066 = {2, 7, 11, 101, ...} = Primes p such that p^3 is a palindrome. PrimePi[ a(n)^(1/3) ] = {1, 4, 5, 26, ...}.

No further terms up to the 100,000th prime. - Harvey P. Dale, Jan 26 2021

LINKS

Table of n, a(n) for n=1..4.

P. De Geest, Palindromic Cubes

FORMULA

a(n) = A135066(n)^3.

EXAMPLE

a(3) = 1331 because 11^3 = 1331 is a palindrome and 11 is a prime.

MATHEMATICA

Do[ p = Prime[n]; f = p^3; If[ f == FromDigits[ Reverse[ IntegerDigits[ f ] ] ], Print[ {n, p, f} ]], {n, 1, 200000} ]

Select[Prime[Range[200]]^3, PalindromeQ] (* Requires Mathematica version 10 or later *) (* Harvey P. Dale, Jan 26 2021 *)

CROSSREFS

Cf. A002780 = Cube is a palindrome. Cf. A069748 = Numbers n such that n and n^3 are both palindromes. Cf. A002781 = Palindromic cubes. Cf. A135066 = Primes p such that p^3 is a palindrome.

Sequence in context: A214511 A117082 A061458 * A002781 A016875 A046244

Adjacent sequences:  A135064 A135065 A135066 * A135068 A135069 A135070

KEYWORD

more,nonn,base

AUTHOR

Alexander Adamchuk, Nov 16 2007

STATUS

approved

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Last modified May 6 21:35 EDT 2021. Contains 343597 sequences. (Running on oeis4.)