A192397 Record holders for greatest prime factor of n^n + (n+1)^(n+1).

2, 5, 31, 283, 743, 1600069, 60042893, 7438489991, 61215157711, 34041259347101651, 6564253087266573169, 22022174223585405703, 69454092876521107983605569601, 2360926164108571968813424783598971267, 462605180698333957063188362720170172617217, 14645575916792712592989131451003587034531413111, 214236369415820799335832514547376967536187180963

Offset

1,1

Links

Table of n, a(n) for n=1..17.

Walter Nissen, More terms with additional commentary

Formula

A056790(m) < A056790(n), for all m < n

Example

60042893 = A056790(9) is in the sequence because all earlier members of A056790 are smaller than 60042893.

Prog

(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

Crossrefs

Cf. A056790, A056187.

Sequence in context: A058009 A056187 A056790 * A097396 A056788 A091859

Adjacent sequences: A192394 A192395 A192396 * A192398 A192399 A192400

Keyword

nonn

Author

Walter Nissen, Jun 29 2011

Extensions

2 added by Arkadiusz Wesolowski, Jun 30 2011

Status

approved