How can I make 18 using the digits 2,3,4,5 once only
We have 1137 for the game today. Using all four digits each time, one of each but no other digits at all, form expressions for consecutive numbers from one up.
Any arithmetical signs may be used,...
... one of the following rules: 1) Double it 2) Halve it 3) Square it 4) Take the square root 5) Add the two digits 6) Subtract the two digits 7) Multiply the two digits 8) Divide the two digits 9) Rever...
Prove that if a number of two digits is 6 times the sum of its digits, then the number formed by interchanging the digits is 5 times their sum.
...hat's the fastest way to:
1) Add the consecutive whole num from 1 to 97. What're the last 2 digits?
2) What about the product of 1 to 97? What're the last 2 digits?...
That I do know!
Crunching it by brute force, with this java program: It loops through all possible digits in all places, throwing out digits that have already been used.
public class waldomeal...
According to my program, these 3 numbers could *only* be done with factorial allowed if the digits must stay in the order 1-9-5-9. 74 would remain impossible if factorial were allowed and digits must ...
0542986731
Why are these digits arranged that way?
...Clearly all SEEs have at least one exponent: exponentiation is the engine that yields the right number of digits in the value.
Very long SEEs are easy to construct, so the short ones (5 digits or ...
does anyone know of an online resource capable of dividing integers with 200 digits?
If you are going that way, try 2^ (3^ 41) ? ... of course written in that fancy way. Think > 10^19 digits.
... of the archive method, due to Martin Gardner: Label each one of the (3^w-3)/2 coins with a sequence of w digits, each 0, 1, or 2, so that the first pair of different digits are 01, 12, or 20, in that...
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But 90% of the numbers from 1 to 99999999 have 8 digits, and your results show that 80% of those did not return a hit.
...led up my gas tank, and while noting my mileage I saw that my odometer read 13,013 (which if you blur the digits together, spells my name). Seems pretty unlikely to happen by chance (surely it did, th...
There is a number, eg, a, 9 numbers long, and contains 1-9 once only. The number formed by digits 1 to n is divisible by n (1234 - 1/1 yes, 12/2 yes, 123/3 yes, 1234/4 no).
What is this number (th...
...uite possible that an even longer solution exists. Anyway, there are two longest ambiguous numbers are 18 digits: 247666746864727442 and 765924766286744542. Each can represent two words. What words? ...
...ead from a while ago.
Can anyone construct an equation of words like the above, where the substituted digits are all similar in shape to the letters?
There's a little bit of leeway in som...
... contest here couldn't be fixed. They'd take caller number whatever and try to match the last 4 digits of their SSN, one at a time from the end. I think the prizes were $100, $1000, $5000 an...
...summation and no words. Don't forget decimals, regular and repeater, also roots and powers (no extra digits).
For example, aa/a is a solution for 11.
How many numbers can you find between...
...possibility is a plaintext or ciphertext autokey. Another possibility is a Gromark-like encryption, using digits from some transcendental number like pi or e as the key. This one is kind of appealing,...
...his problem is not one that Luc Kumps sent to me and some others the solution in Nov. 2000 as not all the digits in 1815 are different. I would be interested in people posting lists however incomplete...
...
This problem is not one that Luc Kumps sent me and some others the solution in Nov, 2000 as the four digits are not distinct. I would be interested in people posting lists however incomplete.
...
...only a few ways: 23 in three squares must be 9 8 6, in some order; 36 in seven squares must have all nine digits except for one of pairs that add up to nine ( (1, 8), (2, 7), (3, 6), (4, 5))
Start...
There are number of activities that you can do with a pad of paper (I find that quad-ruled graph paper is very good) and some pencils (make sure you have a good eraser). For example:
1. Create ana...
Games Magazine's October issue is running a contest called 'Common Factors', a devilish multi-layer puzzle involving presidential trivia, ZIP code numerology and US county seats.
I&...
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