KES Maths Challenge - Crossnumber Instructions
... Hints • Only answer questions which you have narrowed down to one possible answer. • It should be possible to complete the grid without making any guesses. However, if you get completely stuck this might be a worthwhile strategy to get you going again. ...
... Hints • Only answer questions which you have narrowed down to one possible answer. • It should be possible to complete the grid without making any guesses. However, if you get completely stuck this might be a worthwhile strategy to get you going again. ...
Solutions to selected homework problems
... distinct primes and all of them are less than y. It follows that none of these primes is equal to p ≥ y and hence x = p+p1 +· · ·+pr is a sum of distinct primes. Problem: Use Euclid’s proof for infinitude of prime numbers to show that the n−1 n-prime pn is no larger than 2(2 ) . Solution: We prove t ...
... distinct primes and all of them are less than y. It follows that none of these primes is equal to p ≥ y and hence x = p+p1 +· · ·+pr is a sum of distinct primes. Problem: Use Euclid’s proof for infinitude of prime numbers to show that the n−1 n-prime pn is no larger than 2(2 ) . Solution: We prove t ...
Prime clusters and Cunningham chains
... We are mainly interested in finding large, maximally dense clusters of primes. Let k be an integer greater than one. Generalizing the notion of prime twins, we define a prime k-tuplet as a sequence of k consecutive primes such that in some sense the difference between the first and the last is as sm ...
... We are mainly interested in finding large, maximally dense clusters of primes. Let k be an integer greater than one. Generalizing the notion of prime twins, we define a prime k-tuplet as a sequence of k consecutive primes such that in some sense the difference between the first and the last is as sm ...
