« Vrati se

IMO Shortlist 1969 problem 13

1969 shortlist tb
(CZS 2) Let p be a prime odd number. Is it possible to find p-1 natural numbers n + 1, n + 2, . . . , n + p -1 such that the sum of the squares of these numbers is divisible by the sum of these numbers?

Slični zadaci

Lista Tekst Dva stupca
Zadaci
#NaslovOznakeRj.KvalitetaTežina
1364IMO Shortlist 1969 problem 34
1969 shortlist tb
0
1373IMO Shortlist 1969 problem 43
1969 shortlist tb
1
1378IMO Shortlist 1969 problem 48
1969 shortlist tb
0
1384IMO Shortlist 1969 problem 54
1969 shortlist tb
1
1392IMO Shortlist 1969 problem 62
1969 shortlist tb
0
1393IMO Shortlist 1969 problem 63
1969 shortlist tb
0