|
Search: id:A135067
|
|
|
| A135067 |
|
Palindromic cubes p^3, where p is a prime. |
|
+0
2
|
| |
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
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, ...}.
|
|
LINKS
|
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} ]
|
|
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: A071306 A117082 A061458 this_sequence A002781 A016875 A046244
Adjacent sequences: A135064 A135065 A135066 this_sequence A135068 A135069 A135070
|
|
KEYWORD
|
more,nonn,base
|
|
AUTHOR
|
Alexander Adamchuk (alex(AT)kolmogorov.com), Nov 16 2007
|
|
|
Search completed in 0.002 seconds
|
