Let-P-is-a-prime-number-P-gt-1000-If-P-devided-by-1000-then-remainder-is-r-How-many-value-of-r-

Question Number 193286 by BaliramKumar last updated on 09/Jun/23

Let^{'} P^{'} is a prime number (P > 1000) .

If^{'} P^{'} devided by 1000, then remainder is^{'} r^{'} .

How many value of^{'} r^{'} ?

Commented by Tinku Tara last updated on 09/Jun/23

All number other than multiple

of 2 and 5 are possible .

Commented by BaliramKumar last updated on 09/Jun/23

yes, but total value of r = ?

Answered by BaliramKumar last updated on 09/Jun/23

Φ (1000) = Φ (10^{3}) = 4 \times 10^{3 - 1} = 4 \times 10^{2} = 400