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arteem

Guest

Four fours

HOW TO PLAY

Person A says any number 1?n?800. Person B must use ONLY four fours and few math operations (which ones are allowed, mentioned below) to make an expression that equals the number person A said. Person B also says any number 1?n?800, and person C continues. When giving a number, you can only give an integer.

EXAMPLE

3.

((log(4)sqrt(4))/4)*4!=3

4.

((ln4)!/(ln4!)^4)*4!=4

24.

Please, check your answers to be correct!

ALLOWED OPERATIONS

Basic: +; -; *; /;
Roots: sqrt; cbrt;
Factorials: n!; n!!; !n; n#;
Superfactorial: sf(n);
Exponentiation: ^n;
Logarithms: log_n(x); lg(x); ln(x); lb(x);

Trigonometric functions: sin(n); cos(n); tan(n);
Arcfunctions: asin(x); acos(x); atan(x);
Hyperbolic functions: sinh(x); cosh(x); tanh(x);
Areafunctions: arsinh(x); arcosh(x); artanh(x);

Limit: lim(x->y)f(x);
Gamma function: ?(n);
Pi function: ?(n);
Partition function: p(n);
Integral: ?n, x=a to b;
Summation: ?n, a to b;
Product: ?n, a to b;
____

Percentage: %
Brackets, for regularising: ();
Absolute value: |n|;

Decimals: 4,444; .4 (= 0,4; but zero is not allowed, so write .4)
Repeating decimals: 4,(4) (= 4,44444...); .(4) (= 0,44444...)
______________

HELP

Note about trigonometric functions: don't forget to mention the used metric system (deg/rad). Example, sin(3rad) or cos(10deg).
Integrals: Look at the picture below. (One more example: (integral of sin(x), x=0 to ?); both Ox and Oy are allowed, however if you use Oy you should specify it, whether Ox - specification is not really required). Trig, hypb, arc and area functions are allowed in integrals, summation and product. Being more correctly, allowed everywhere.
Logarithms: log_n(x) is a n-base logarithm; ln(x) is a e-base logarithm (e is Euler number, ~2.718281828459045); lg(x) is a 10-base logarithm; lb(x) is a 2-base logarithm.
______________

INTEGRALS

Don't get confused, sir. Don't forget to put integrals or summations or products into brackets, pls.

Same with summation and product (only answers, sure, are different).
______________

Don't forget you can only use digit '4' used four times and only mentioned operations above. For example, 4*4/4+4 or (44+4!)/4 are right, but 4*4/4 is wrong. Constants (?, ?, e, etc.) are not allowed! (oh right, e is allowed for an e-base logarithm).

Fine, start. 24.

Last edited by arteem (Jun 28 2013 2:28:47 pm)

rocktheworld313

Guest

Re: Four fours

... hopefully you don't mind if I don't use trig functions?

4*4+4+4

1, yay easy.

Redhat

Member

Joined: 2015-02-16

Posts: 201

Re: Four fours

4-4+4/4

13

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arteem

Guest

Re: Four fours

44/4+sqrt(4)

10

Last edited by arteem (Mar 28 2013 11:35:01 pm)

Arceus64

Guest

Re: Four fours

sqrt(4)+sqrt(4)+sqrt(4)+4

2

arteem

Guest

Re: Four fours

log{4}4+(4/4)

12.

Redhat

Member

Joined: 2015-02-16

Posts: 201

Re: Four fours

4!-4-4-4
the simple way is ever the best way.
also, You should increase the number of possibilities, or the topic will have only 25 replies, and only basic operators will be used.

23

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arteem

Guest

Re: Four fours

^ Well every number has different ways to make something that will equal it. Actions can also be put in different orders.

(4!/sqrt(4))+!4+sqrt(4)

21.

Last edited by arteem (Mar 28 2013 12:23:32 pm)

rocktheworld313

Guest

Re: Four fours

4!-4+(4/4)

17

Last edited by rocktheworld313 (Mar 28 2013 3:48:13 pm)

Arceus64

Guest

Re: Four fours

4*4+(4/4)

4

rocktheworld313

Guest

Re: Four fours

Argh, that one is actually pretty hard. (4-4)*4+4

3

Arceus64

Guest

Re: Four fours

sqrt(4)-(4/4)+sqrt(4)

16 :rolleyes:

Redhat

Member

Joined: 2015-02-16

Posts: 201

Re: Four fours

4^4/4/4 (or 4+4+4+4 lol)

19

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arteem

Guest

Re: Four fours

4#+!4+sqrt(4)+sqrt(4)

5.

Arceus64

Guest

Re: Four fours

sqrt(4)+sqrt(4)+(4/4)

34 yay more choices

arteem

Guest

Re: Four fours

4^(sqrt(4))+4!-4#

28

K, where are you people? It's getting boring to play with four people

Arceus64

Guest

Re: Four fours

44-(4*4)

30

Redhat

Member

Joined: 2015-02-16

Posts: 201

Re: Four fours

4!+sqrt(4)+sqrt(4)+sqrt(4)

47

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Arceus64

Guest

Re: Four fours

4!+4!-(4/4)

14

arteem

Guest

Re: Four fours

4!-sqrt(4)^sqrt(4)-4#

42

gregregreg

Member

From: California, 'Murica

Joined: 2015-02-23

Posts: 1,543

Website

Re: Four fours

44 + 4 - 4 - ?(aka sqrt)4

4,096

Last edited by gregregreg (Mar 30 2013 12:38:19 am)

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~greg³

Redhat

Member

Joined: 2015-02-16

Posts: 201

Re: Four fours

4^4*4*4

98

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arteem

Guest

Re: Four fours

^ *cough* 1 ? n ? 50

4!*4+4-sqrt(4)

43

Redhat

Member

Joined: 2015-02-16

Posts: 201

Re: Four fours

my last post here.

44-4/4
49

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Arceus64

Guest

Re: Four fours

4!+4!+(4/4)

22