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A072135 Least m such that sqrt(m) has a period 2n continued fraction expansion whose palindrome part concatenates to a palindromic prime. +0
1
23, 22, 234, 115 (list; graph; listen)
OFFSET

2,1

EXAMPLE

23 is in the sequence because it is the first followed by 47, 96, 98, 119, 128, ... all exhibiting the following property:sqrt(23) = [4;1, 3, 1, 8], sqrt(47) = [6;1, 5, 1, 12], sqrt(96) = [9;1, 3, 1, 18], sqrt(98) = [9;1, 8, 1, 18], sqrt(119) = [10;1, 9, 1, 20], sqrt(128) = [11;3, 5, 3, 22], ... i.e. the continued fraction expansion of their square roots have palindrome parts which concatenate respectively to the 3-digit palprimes 131, 151, 131, 181, 191, 353, ...

CROSSREFS

Sequence in context: A022979 A023465 A004464 this_sequence A010862 A040507 A022357

Adjacent sequences: A072132 A072133 A072134 this_sequence A072136 A072137 A072138

KEYWORD

hard,more,nice,nonn

AUTHOR

Lekraj Beedassy (blekraj(AT)yahoo.com), Jun 26 2002

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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