Mathematics and Mathematicians: A Journey Through History

Who was Laos Pocha, and where was he born?

• A French artist born in Paris

• An American scientist born in New York

• A German physicist born in Berlin

• A Hungarian mathematician born in Budapest

What was the problem that Eridish posed to young Pocha?

• Prove that among the first 2n positive integers, any collection of n+1 must contain a relatively prime pair

• Prove that all even numbers are relatively prime

• Prove that the sum of two odd numbers is even

• Prove that any collection of n+1 integers contains a prime number

What is the definition of relatively prime numbers?

• Numbers that are both even

• Numbers with a common factor greater than one

• Numbers with no common factor greater than one

• Numbers that are both odd

In the example with n=5, how many integers are selected?

• 11

• 10

• 6

• 5

Why is selecting n+1 integers important in the problem?

• It ensures that all selected numbers are even

• It ensures that all selected numbers are odd

• It guarantees the selection of at least one pair of consecutive numbers

• It allows for the selection of only prime numbers

What is the significance of consecutive numbers in the solution?

• They are always even

• They are always odd

• They are always relatively prime

• They are always prime numbers

How did Eridish react to Pocha's career shift?

• He was supportive and encouraging

• He was indifferent and uninterested

• He reacted negatively, saying 'Posh is dead'

• He was happy and congratulated Pocha

What award did Pocha win in 2011?

• The Abel Prize

• The Casheni Prize

• The Fields Medal

• The Nobel Prize

What theorem is associated with Pocha in graph theory?

• The Pythagorean Theorem

• The Eridish-Pocha Theorem

• The Riemann Hypothesis

• The Fermat's Last Theorem

What did Pocha focus on later in his career?

• Biology studies

• Chemistry experiments

• Mathematics education

• Physics research