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 A083137 Smallest palindromic number relatively prime to all the previous terms. 3
 1, 2, 3, 5, 7, 11, 101, 131, 151, 181, 191, 313, 323, 353, 373, 383, 727, 757, 767, 787, 797, 919, 929, 989, 10001, 10301, 10501, 10601, 11111, 11311, 11411, 12421, 12721, 12821, 13031, 13331, 13831, 13931, 14141, 14341, 14741, 14941, 15151, 15451 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS 323 is the first composite entry. Conjecture: sequence is infinite. LINKS R. J. Mathar and Giovanni Resta, Table of n, a(n) for n = 1..10000 (first 966 terms from R. J. Mathar) MAPLE isA002113 := proc(n)     if digrev(n) = n then         true;     else         false;     end if; end proc: A083137 := proc(n)     option remember;     if n =1 then         1;     else         for p from procname(n-1)+1 do             if isA002113(p) then                 rpr := true;                 for i from 1 to n-1 do                     if igcd(procname(i), p) > 1 then                         rpr := false;                         break;                     end if;                 end do:                 if rpr then                     return p ;                 end if;             end if;         end do:     end if; end proc: # R. J. Mathar, Aug 23 2014 MATHEMATICA a[1] = 1; a[n_] := a[n] = For[k = a[n-1]+1, True, k++, If[PalindromeQ[k] && AllTrue[Array[a, n-1], CoprimeQ[#, k]&], Return[k]]]; Array[a, 50] (* Jean-François Alcover, Jan 17 2018 *) CROSSREFS Cf. A002113, A083136, A083139 (primes in this sequence). Sequence in context: A182051 A052480 A234912 * A180440 A077652 A002385 Adjacent sequences:  A083134 A083135 A083136 * A083138 A083139 A083140 KEYWORD base,nonn AUTHOR Amarnath Murthy and Meenakshi Srikanth (menakan_s(AT)yahoo.com), Apr 24 2003 EXTENSIONS Corrected and extended by Reinhard Zumkeller, May 05 2003 STATUS approved

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Last modified July 27 18:27 EDT 2021. Contains 346308 sequences. (Running on oeis4.)