Răspuns:
29 numere
Explicație pas cu pas:
___
abc = maret
b = a^c
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c = 0 => a = 1 ; b = 1⁰ = 1 => 110
a = 2 ; b = 2⁰ = 1 => 210
a ∈ {3,4,5....9} => b = a⁰ = 1 =>
310 ; 410 ; 510 ; 610 ; 710 ; 810 ; 910
c = 1 => a = 1 ; b = 1 => 111
a = 2 ; b = 2 => 221
a ∈ {3,4,5....9} => b ∈ {3,4,5....9} =>
331 ; 441 ; 551 ; 661 ; 771 ; 881 ; 991
c = 2 => a = 1 ; b = 1 => 112
a = 2 ; b = 4 => 242
a = 3 ; b = 8 => 382
c = 3 => a = 1 ; b = 1 => 113
a = 2 => b = 8 => 283
c = 4 => a = 1 ; b = 1 => 114
c ∈ {5,6,7,8,9} => a = 1 ; b = 1 =>
115 ; 116 ; 117 ; 118 ; 119
In total sunt 29 numere marete.
#copaceibrainly
