Problems & Puzzles: Puzzles

Puzzle 453. DPFP Michel Marcus sent the following puzzle: Only one Deficient Primitive Friendly Pair (a,b) is known such that abundancy(a) = abundancy(b), having a & b the same set of prime factors. (a, b) = (451737, 1401543) abundancy 6832/3861 Q1. Is it possible to find other deficient friendly pairs with the same property? Q2. Is it possible to find abundant friendly pairs with the same property ?

---

Walter Nissen wrote (Aug., 08)

Answer to Q2 : Yes .

This table is extracted from
http://upforthecount.com/math/ffp8.html

numer/denom pf1 pf1 pf2 pf2
93/ 40 80 401 200 302
8255/ 2394 76608 62010001 34387416 35020002
22971/ 5390 388080 42121 7968576000 91332
22971/ 5390 970200 32221 7968576000 91332
26474/ 6435 36138960 451012 280308600 342031
26474/ 6435 90347400 352012 112123440 441031
51181/11970 1915200 62210001 343874160 45120002

***