1

Part of 1997 Israel Grosman Mathematical Olympiad

Problems(1)

at max 3 primes between 10 and 10^P10} all of whose decimal digits are 1

Source: Israel Grosman Memorial Mathematical Olympiad 1997 p1

Prove that there are at most three primes between

10

10^{10}

all of whose decimal digits are

1

number theoryDigitsprimes