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%I #14 Aug 18 2019 16:47:04
%S 2,5,31,283,743,1600069,60042893,7438489991,61215157711,
%T 34041259347101651,6564253087266573169,22022174223585405703,
%U 69454092876521107983605569601,2360926164108571968813424783598971267,462605180698333957063188362720170172617217,14645575916792712592989131451003587034531413111,214236369415820799335832514547376967536187180963
%N Record holders for greatest prime factor of n^n + (n+1)^(n+1).
%H Walter Nissen, <a href="/A192397/a192397.txt">More terms with additional commentary</a>
%F A056790(m) < A056790(n), for all m < n
%e 60042893 = A056790(9) is in the sequence because all earlier members of A056790 are smaller than 60042893.
%o (PARI) fmax=0;for(k=0,35,my(x=factor(k^k+(k+1)^(k+1)),f=x[#x[,1],1]);if(f>fmax,print1(f,", ");fmax=f)) \\ _Hugo Pfoertner_, Aug 18 2019
%Y Cf. A056790, A056187.
%K nonn
%O 1,1
%A _Walter Nissen_, Jun 29 2011
%E 2 added by _Arkadiusz Wesolowski_, Jun 30 2011