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Extreme weakly prime numbers.
1

%I #18 Apr 03 2023 10:36:12

%S 40144044691,58058453543,89797181359,185113489357,213022025663,

%T 222498988079,365115312521,397195264507,507086259359,537598896647,

%U 576872778883,671770400281,710587610861,719174481061,815380174991,840202011349,855194972407,869287849361,891600776149

%N Extreme weakly prime numbers.

%C Primes that become composite if any digit is removed, changed, or inserted anywhere. First & smallest term found by Jens K. Andersen in 2008; five more by Giovanni Resta in Nov. 2011. Expected infinite of them. These primes emerge in relation to the prime-version of classical Doublets puzzle by Lewis Carrol. Correspond to the "aloof" words as named by Donald Knuth.

%H Giovanni Resta, <a href="/A199428/b199428.txt">Table of n, a(n) for n = 1..50</a>

%H G. L. Honaker, Jr. and C. K. Caldwell, <a href="https://t5k.org/curios/page.php/40144044691.html">Prime Curios! 40144044691</a>

%H C. Rivera, <a href="http://www.primepuzzles.net/puzzles/puzz_612.htm">The prime puzzles & problems connection, puzzle 612</a>

%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Word_ladder">Word ladder</a>

%Y Cf. A050249.

%K nonn,base

%O 1,1

%A _Carlos Rivera_, Nov 06 2011

%E More terms from _Giovanni Resta_, Aug 15 2019