## Welcome to H3 Maths

Blog Support for Growing Mathematicians

## Posts tagged with primes

### Misbehaving Prime Numbers

April21

Two academics have shocked themselves and the world of mathematics by discovering a pattern in prime numbers. Primes – numbers greater than 1 that are divisible only by themselves and 1 – are considered the ‘building blocks’ of mathematics, because every number is either a prime or can be built by multiplying primes together – (84, […]

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### Why are Prime Numbers so Important?

March28

Prime numbers are cool. As Carl Sagan points out so eloquently in the novel Contact, there’s a certain importance to their status as the most fundamental building block of all numbers, which are themselves the building blocks of our understanding of the universe. Whether it’s communicating your credit card information to Amazon, logging into your […]

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### Math in its Prime…

August11

A few years ago an old school textbook that H3 used explained that 1 was not a prime number “because of the Liquorice Factory”! The attached pdf is a great worksheet for students (and other readers of this blog) to examine the kind of machines that we need in order to produce liquorice in lengths […]

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### We study math because of neck-ties!

February21

In a recent online discussion (read more here) about Prime Numbers, was this extract regarding the importance of research; “For what it’s worth, a great deal of mathematical research has no known application and little or no bearing on other fields. Some very smart people (Russell, Hardy) have argued that this is not a bad […]

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### Working with everyday numbers

December9

OK. Here is a sign at a bus stop in Singapore. Can you work out the different types of numbers – any primes; any squared numbers, odds and evens, etc.? It still amazes H3 how many students use numbers like these each day, but never actually study them. The mental gymnastics of number analysis is […]

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### Mind-Boggling Math Fact #4

January13

Prime Spirals: Because prime numbers are indivisible (except by 1 and themselves), and because all other numbers can be written as multiples of them, they are often regarded as the “atoms” of the math world. Despite their importance, the distribution of prime numbers among the integers is still a mystery. There is no pattern dictating which […]

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#### Post Support

10 x 9 x 8 + (7 + 6) x 5 x 4 x (3 + 2) x 1 = 2020

NCEA Level 2 Algebra Problem. Using the information given, the shaded area = 9, that is:
y(y-8) = 9 –> y.y – 8y – 9 =0
–> (y-9)(y+1) = 0, therefore y = 9 (can’t have a distance of – 1 for the other solution for y)
Using the top and bottom of the rectangle,
x = (y-8)(y+2) = (9-8)(9+2) = 11
but, the left side = (x-4) = 11-4 = 7, but rhs = y+? = 9+?, which is greater than the value of the opp. side??
[I think that the left had side was a mistake and should have read (x+4)?]