Factor the following number



I factored the two 135-digit numbers, n and n+1 using cado-nfs-1.1 on an
Intel i7-3930K overclocked to 4.2GHz with 18GiB RAM, running up to 10 threads.

Factoring the numbers, n and n+1 took 10 days each, a total of 20 days.

n has 5 factors and n+1 has two factors.
n:= [2,
     5,
     2122943609450249057621,
     405620061201508643988375124643817406843652803,
     34444340671702467488860342883734479061576134487870291451728421045657];
mn+1:= [17222170335851233744430171441867239530788067265164581820366701099039,
        17222170335851233744430577061928441039432055599953297058218812657049];

The sum of the factors is
   34444340671702467488860748503795680570220122865117878878585513756088

So, this is a Ruth-Aaron pair.

Tom Dean