cp's OEIS Frontend

A059755 Odd rare numbers: odd n such that n-r and n+r are squares, where r is the reverse of n.

%I A059755 #25 Mar 10 2025 11:46:18
%S A059755 65,868591084757,6979302951885,6157577986646405,8052956026592517,
%T A059755 8052956206592517,8650327689541457,8650349867341457,
%U A059755 619431353040136925,619631153042134925,631688638047992345,633288858025996145,633488632647994145,653488856225994125
%N A059755 Odd rare numbers: odd n such that n-r and n+r are squares, where r is the reverse of n.
%C A059755 There are 20 terms up to 10^22. - _Shyam Sunder Gupta_, Dec 14 2019
%D A059755 Shyam Sunder Gupta, "Systematic computations of rare numbers", The Mathematics Education, Vol. XXXII, No. 3, 1998.
%H A059755 Shyam Sunder Gupta, <a href="/A059755/b059755.txt">Table of n, a(n) for n = 1..20</a>
%H A059755 Carlos Rivera, <a href="http://www.primepuzzles.net/conjectures/conj_023.htm">Conjecture 23. The Shyam's conjecture about the Rare Numbers</a>, The Prime Puzzles & Problems Connection.
%H A059755 Shyam Sunder Gupta, <a href="http://www.shyamsundergupta.com/rare.htm">Rare Numbers</a>
%H A059755 Shyam Sunder Gupta, <a href="https://doi.org/10.1007/978-981-97-2465-9_14">Rare Numbers</a>, Exploring the Beauty of Fascinating Numbers, Springer (2025) Ch. 14, 381-397. {{doi|10.1007/978-981-97-2465-9_14}}
%e A059755 65-56 = 9 and 65 + 56 = 121 are both (perfect) squares.
%Y A059755 Cf. A035519.
%K A059755 nice,nonn,base
%O A059755 1,1
%A A059755 _Shyam Sunder Gupta_, Feb 11 2001