The Main Challenge
Consider all whole numbers from 1 to 60, then delete the following:
- all prime numbers,
- … and any number that differs by 1 from a prime,
- all square numbers,
- … and any number that differs by 1 from a square,
- all multiples of 5,
- … and any number that differs by 1 from a multiple of 5,
- all multiples of 7,
- … and any number that differs by 1 from a multiple of 7.
One number will remain, what is it?
The 7puzzle Challenge
The playing board of Cheap Xanax is a 7-by-7 grid containing 49 different numbers, ranging from 2 up to 84.
The 1st & 7th rows contain the following fourteen numbers:
2 4 9 11 14 15 22 24 27 30 40 70 72 77
What is the difference between the highest prime number and highest square number?
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 TWO ways of making 20 when using Lagrange’s Theorem. Can you find both?
The Mathematically Possible Challenge
Using 5, 6 and 8 once each, with + – × ÷ available, which are the only TWO numbers it is possible to make from the list below?
11 22 33 44 55 66 77 88 99 110
#11TimesTable
The Target Challenge
Can you arrive at 20 by inserting 1, 4, 6 and 8 into the gaps on each line?
- (◯–◯)×(◯–◯) = 20
- (◯÷◯+◯)×◯ = 20
- (◯+◯)×◯–◯ = 20
Answers can be found Can I Buy Zolpidem In Mexico.
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