Maged Z. Youssef

7 Questions 34 Answers 0 Followers

Questions related from Maged Z. Youssef

For positive integers k and n. Is there a closed formula for number of elements in the interval I=[k,k+n-1] that is relatively prime with m in I?

For I={k,k+1,...,k+n-1} (n consecutive integers), and for an element m in I, we define Phi_I_(m)=/{x in I such that gcd(x,m)=1}/. Is there a closed formula for Phi_I_(m)? (number of elements in an...

29 May 2025 4,370 3 View

Suppose you have 5 football teams each team meet the other teams once. The total number of matches is 10.?

Suppose you have 5 football teams each team meets the other teams once. The total number of matches is 10. We may represent the results of these matches by a graph, in which if team A wins over...

24 February 2024 5,008 2 View

Number of undirected graphs of order n with degree sequence: 2,2,2,...2 (n times) is equal to the number of partitions of n?

I noticed that the number of undirected graphs of order n with degree sequence: 2,2,2,...2 (n times) is equal to the number of partitions of n

20 February 2024 2,596 6 View

Is the solution of the third degree polynomial equation can be solved by using Ferrari's method by multiply it by a suitable known root?

If we multiply the third degree polynomial equation by a known root, it will become of degree 4, then I can solve it by using Ferrari's method

07 April 2019 6,768 5 View

Known the day of the week from the date

Let d be the n-th day of a year 2000+n, where n> - 248. Take the sum d + n + floor[(n + 3)/4] - floor[(n - 1)/100] + floor[((n - 1)/400] modulo 7. If the remainder is 0 then the day is Friday,...

01 January 1970 9,557 9 View

Friendship for a long time

Someone said: After 40 years of friendship with a friend, I discovered that he was deceiving me. What can you say to both people?

01 January 1970 340 0 View

Is there a set of consecutive positive integers with no relprime and also with no 1-near relprime?

I hope that you are well. Concerning the paper entitled “ON NEAR RELATIVE PRIME NUMBER IN A SEQUENCE OF POSITIVE INTEGERS” that appeared in TAIWANESE JOURNAL OF MATHEMATICS 2010. I have a...

01 January 1970 3,903 7 View