9.3

Part of 1994 All-Russian Olympiad Regional Round

Problems(1)

p(n)= only digits 1 - All-Russian MO 1994 Regional (R4) 9.3

Source:

Does there exist a quadratic trinomial

p(x)

with integer coefficients such that, for every natural number

n

whose decimal representation consists of digits

1

p(n)

also consists only of digits

1

number theoryDigitstrinomial