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Posts tagged with prime numbers

Record-Breaking Prime Number with over 41 Million Digits Found

November3

From cnn: For many people, prime numbers have faded into the background since distant grade school days. However, for Luke Durant, a 36-year-old former Nvidia programmer, prime numbers became an all-consuming passion. He devoted nearly one year and invested a considerable sum of his own money to uncover the world’s largest known prime number. A prime […]

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Mathematics in Moscow

October28

It is only a short exchange is a rather long novel, but noteworthy – from page 134 in “A Gentleman in Moscow” by Amor Towels. It might lead you down a rabbit hole to discover if Amor is mathematically inclined. Meanwhile, here is the extract: “Here,” he said in the tone of one chipping in. […]

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Fields Medals for Math Discoveries in 2022

January29

Every four years, the International Mathematical Union awards a gold coin with the head of Archimedes engraved on it to up to four mathematicians younger than 40 “to recognize outstanding mathematical achievement for existing work and for the promise of future achievement.” This year the Fields Medal went to June Huh, James Maynard, Maryna Viazovska […]

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No Post Today

June20

This is a ‘No Post’ today. Just to explain… I have two main blogs, a wife and 3 children and 5 grandchildren and my novel #2 to get published (when I find a keen agent). This is why my posts are not as regular as they might be. However, to the observant mathematician, you will […]

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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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The Real Math Behind ‘The Simpsons’

February5

So, in relation to my last post, here is a puzzle that appeared in a Simpsons Episode – centered on baseball. Can you figure out the attendance at this game? For a complete explanation, check out this 12min video here.

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Which number is the odd one out?

January27

These talented young dancers are doing a routine for a judge – who will score them using their numbers. Above them are two more numbers, making the sequence 5, 7, 2, 5 or (top to bottom) 7, 5, 5, 2. My students enjoyed coming into class and, when seeing four numbers on the board, trying […]

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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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Largest Prime Number for 2016

December26

As the new year approaches, you may be (or not be) interested to learn that the largest known prime number is 274,207,281– 1. This number is an incredible 22 million digits long and 5 million digits longer than the second largest prime number. Hang on to your primes you might ask, “Why are prime numbers important? […]

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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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Post Support

Rubik’s Cube answer = 43 Quintillion

 

Largest number between o and 1 million which does not contain the ‘n’ is 88

 

Rotation SAT Problem: Answer: 4 (see: https://www.youtube.com/watch?v=FUHkTs-Ipfg)

 

Which number has its letters in alphabetical order? Answer: F O R T Y

Hidden Rabbit? Clue: check the trees

How long for the stadium to fill? 45 minutes.

Where are you? the North Pole

Prize Object Puzzle: If Sue does not know where the prize is in the first question, it can’t be under the square. She must have been told it is under another shape. Apply this same logic to Colin. It is then obvious that the prize cannot be under a yellow object. That helps Sue eliminate her yellow shapes. Got the idea?

Algebra Puzzle: Answer = 1

Popular Math Problems Answers: 1, 1

Number of tabs? According to Lifehacker, the ideal number of tabs you should have open is nine. Yes, a single digit. To some, this is like playing a piano and only using a fraction of the notes!

Worst Graph? Where to start. What a visual mess and even some of the lines merge and are impossible to follow. A graph is a visual display of data, with the goal to identify trends or patterns. This is a spider’s web of information which fails to show a clear pattern at all. Solution? Well, different colors would help, or why not group in two or three graphs where trends are similar?

Number of different nets to make a cube is eleven – see this link

Homework Puzzle; The total value of the counters is 486, so halve this to get 243. Now, arrange the counters to equal this amount twice.

The graph on the left (Coronavirus) is for a time period of 30 days, while the one on the right (SARS) is for 8 months! Very poor graphical comparison and hardly relevant, unless it is attempting to downplay the seriousness of the coronavirus?

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)?]

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