Question 1
Exam grading: platform starts at 0; Q1–15 award 2 points each, Q16–25 award 4 each; no penalties; maximum 70. Official reference: starts at 15; Section A +2/−1/0 for correct/incorrect/blank, Section B +4/0/0; maximum 85. Duration: 90 minutes (official-reference default). Editorial source note: the running headers misprint 2020; the main title, contents and matching solutions establish 2019 Grade 7.
The number 2019 is the smallest positive integer that can be written in 6 ways as the sum of squares of 3 prime numbers. One such way is $x^2+x^2+41^2=2019$. What is $x$?
The number 2019 is the smallest positive integer that can be written in 6 ways as the sum of squares of 3 prime numbers. One such way is $x^2+x^2+41^2=2019$. What is $x$?