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 A075407 Non-palindromic numbers such that the largest proper divisor is a palindrome having at least two digits and no other divisor is a palindrome with at least two digits. 4
 302, 322, 342, 362, 382, 423, 453, 483, 504, 513, 543, 544, 573, 584, 655, 706, 746, 755, 766, 805, 905, 908, 917, 948, 955, 988, 1029, 1030, 1050, 1057, 1059, 1070, 1090, 1119, 1127, 1130, 1149, 1150, 1170, 1190, 1267, 1312, 1313, 1337, 1352, 1434 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Giovanni Resta, Table of n, a(n) for n = 1..10000 (terms < 10^6 from David Consiglio, Jr.) EXAMPLE 322 is here since the divisors of 322 are [1, 2, 7, 14, 23, 46, *161*, 322]. MATHEMATICA palQ[n_] := Block[{d = IntegerDigits[n]}, d == Reverse@d]; ok[n_] := Block[{d = Divisors[n]}, Length[d] > 1 && d[[-2]] > 9 && palQ[d[[-2]]] && Length[ Select[d, # > 9 && palQ[#] &, 2]] == 1]; Select[ Range[2000], ok] (* Giovanni Resta, Aug 27 2018 *) CROSSREFS Cf. A074888. Sequence in context: A028499 A145123 A068258 * A258449 A261677 A004227 Adjacent sequences: A075404 A075405 A075406 * A075408 A075409 A075410 KEYWORD base,nonn AUTHOR Jason Earls, Sep 13 2002 EXTENSIONS Edited by Matthew Conroy, Oct 21 2002 More terms from David Consiglio, Jr., Oct 12 2015 Incorrect Python program deleted by Giovanni Resta, Aug 27 2018 STATUS approved

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Last modified September 13 09:21 EDT 2024. Contains 375904 sequences. (Running on oeis4.)