T he Main Challenge
What is the lowest Prime Number total it is possible to achieve when adding together SEVEN unique non-Prime Numbers?
The 7puzzle Challenge
The playing board of the 7puzzle game is a 7-by-7 grid containing 49 different numbers, ranging from 2 up to 84.
The 1st & 4th rows of the playing board contain the following fourteen numbers:
2 3 9 10 14 15 22 32 35 40 44 54 60 72
What is the sum of the factors of 40?
The Lagrange Challenge
Lagrange’s Four-Square Theorem states that every positive integer can be made by adding up to four square numbers.
For example, 7 can be made by 2²+1²+1²+1² (or 4+1+1+1).
There are just THREE different ways to make 248 when using Lagrange’s Theorem. Can you find them?
The Mathematically Possible Challenge
Using 2, 5 and 10 once each, with + – × ÷ available, which are the only THREE numbers it is possible to make from the list below?
2 4 6 8 10 12 14 16 18 20
#EvenNumbers
The Target Challenge
Can you arrive at 248 by inserting 5, 7, 8, 10 and 12 into the gaps below?
- ◯³+√(◯+◯+◯)–◯² = 248
Answers can be found here.
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