Of course you mean " consecutive numbers that are prime", since consecutive prime numbers could be understood in the other way, like $7$ and $11$.
You report Kannan Soundararajan and Robert Lemke Oliver discovering that the distribution of the last digit of consecutive prime numbers isn't as random as expected and their investigation of this ...
Recently learned about this formula to generate consecutive composite numbers $n!+2,n!+3,...,n!+n$ The goal of this question is to find if other methods exist to ...
@Baropryl In both of your examples, you construct your consecutive numbers such that the smaller of the two is the even number. You must explicitly consider the case that the smaller of the consecutive numbers is odd.
Confirming a easy proof: the product of two consecutive numbers is ...
Mathematicians were able to discover a pattern for what has long been considered very random: prime numbers. The surprising discovery also suggests that scientists need to be a little cautious when it ...
Mathematicians have been studying the distribution of prime numbers for thousands of years. Recent results about a curious kind of prime offer a new take on how spread out they can be. You may have ...
The Conversation: Prime numbers, the building blocks of mathematics, have fascinated for centuries − now technology is revolutionizing the search for them
Prime numbers, the building blocks of mathematics, have fascinated for centuries − now technology is revolutionizing the search for them
1 Let's count the number of hands which don't contain any consecutive cards. If all the cards are distinct and there are no consecutive cards, then we have only two possible hands to consider, and they are $\ {1,3,5},\ {2,4,6}$; there are $ {2 \choose 1} {6 \choose 1}^3$ ways to get these hands from our deck of $36$.