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I've noticed there are a lot of pairs of Lychrel numbers with a difference of two. Is there a pattern/relationship in Lychrel numbers? Is there a pattern/relationship in the occurrences of these pairs?

196, 295, 394, 493, 592, 689, 691, 788, 790, 879, 887, 978, 986, 1495, 1497, 1585, 1587, 1675, 1677, 1765, 1767, 1855, 1857, 1945, 1947, 1997, 2494, 2496, 2584, 2586, 2674, 2676, 2764, 2766, 2854, 2856, 2944, 2946, 2996, 3493, 3495, 3583, 3585, 3673, 3675.

I find it extremely interesting that there are so many even consecutive lychrel numbers. Can someone explain why? Is there anything interesting about the numbers that do not fit into these pairs, or vice versa?

Thanks in advance.

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    $\begingroup$ Here a definition, for context. $\endgroup$ Nov 20 at 20:10
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    $\begingroup$ Please give initial references like this. Besides, the unique tag "logic" isn't appropriate at all ; I have changed it. $\endgroup$
    – Jean Marie
    Nov 20 at 20:11

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