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Using only two 2s and any mathematical symbols, make 5. NO TRICKS

1= 2/2

2= ???

3= ???

4= 2+2


9= ???

10= 2/.2



Floor, and Ceiling....

log(22) ≈ 1.34242268 So Ceiling( Log(22) ) = 2

ln(22)≈3.091042 So Floor( Ln(22)) = 3

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On Mon, 19 May 2025 3:19:22 +0000, HenHanna wrote:

Using only two 2s and any mathematical symbols, make 5. NO TRICKS

1= 2/2

2= ???

3= ???

4= 2+2

9= ???

10= 2/.2

Floor, and Ceiling....

log(22) ≈ 1.34242268 So Ceiling( Log(22) ) = 2

ln(22)≈3.091042 So Floor( Ln(22)) = 3

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Ceiling(Sqrt(22)) = 5

Please reply to ilanlmayer at gmail dot com

__/\__
\ /
__/\\ //\__ Ilan Mayer
\ /
/__ __\ Toronto, Canada
/__ __\
||

--

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Op 19/05/2025 om 5:19 schreef HenHanna:

 Using only two 2s and any mathematical symbols, make 5.      NO >>>> TRICKS

 1= 2/2

 2=  ???

2 = SQR(2x2)

 3= ???

3 = 2 + INT(SQR(2))

 4= 2+2

5 = 2 + CEIL(e^INT(SQR(2)))

6 = (2 + INT(SQR(2)))!

7 = FLOOR(e^(SQR(2^2)))

8 = 2^^2  (= 2^2^2)

9 = CEIL(e^2 + SQR(2))

 9= ???

 10=  2/.2

Floor, and Ceiling....

         log(22) ≈ 1.34242268     So       Ceiling( Log(22) ) = 2

               ln(22)≈3.091042    So           Floor( Ln(22)) = 3

--
guido wugi

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On Thu, 22 May 2025 14:56:29 +0000, guido wugi wrote:

Op 19/05/2025 om 5:19 schreef HenHanna:

 Using only two 2s and any mathematical symbols, make 5.      NO >>>>> TRICKS

 1= 2/2

 2=  ???

2 = SQR(2x2)

 3= ???

3 = 2 + INT(SQR(2))

 4= 2+2

5 = 2 + CEIL(e^INT(SQR(2)))

6 = (2 + INT(SQR(2)))!

7 = FLOOR(e^(SQR(2^2)))

8 = 2^^2  (= 2^2^2)

I don't gt this one. (4^2 and 2^4 are both 16)

( THansks fror Playing!!! )


i love this one: (.2)^(i^2)

9 = CEIL(e^2 + SQR(2))

 9= ???

 10=  2/.2



Floor, and Ceiling....

         log(22) ≈ 1.34242268     So       Ceiling( Log(22) ) = 2

               ln(22)≈3.091042    So           Floor( Ln(22)) = 3

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On 22/05/2025 15:56, guido wugi wrote:

8 = 2^^2  (= 2^2^2)

ITYM 2<<2

--
Richard Heathfield
Email: rjh at cpax dot org dot uk
"Usenet is a strange place" - dmr 29 July 1999
Sig line 4 vacant - apply within

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Op 22/05/2025 om 19:10 schreef HenHanna:

On Thu, 22 May 2025 14:56:29 +0000, guido wugi wrote:

8 = 2^^2  (= 2^2^2)

I don't gt this   one.      (4^2 and 2^4  are both 16)

I wasn't sure anyway, and rightly so it seems.
Well, borrowing from the form for 9 we get

8 = FLOOR(e^2 + SQR(2))

( THansks fror  Playing!!! )

             i love this one:   (.2)^(i^2)

For 5, yes! I couldn't find a proper form for 1/.2.

--
guido wugi

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On 22/05/2025 19:26, guido wugi wrote:

Op 22/05/2025 om 19:10 schreef HenHanna:

On Thu, 22 May 2025 14:56:29 +0000, guido wugi wrote:

8 = 2^^2  (= 2^2^2)

I don't gt this   one.      (4^2 and 2^4  are both 16)

I wasn't sure anyway, and rightly so it seems.
Well, borrowing from the form for 9 we get

8 = FLOOR(e^2 + SQR(2))

( THansks fror  Playing!!! )


             i love this one:   (.2)^(i^2)

For 5, yes! I couldn't find a proper form for 1/.2.

5 = i*i*i*i + i*i*i*i + i*i*i*i + i*i*i*i + i*i*i*i + 2 - 2

This seems like a very silly puzzle without more clarity over what constitutes a "mathematical
symbol". Of course the whole idea is to encourage such inventiveness in the responses, but hey,
silly is silly... :)

And also:

5 = 5 + 2 - 2

What? Sure 5 is a mathematical symbol if i counts!

Or:

5 = Successor(Successor(Successor(Successor(Successor(2-2)))))

What? Sure Successor is a mathematical symbol, if log counts etc. etc. etc.


Mike.

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On 23/05/2025 11:32, RunningMuso wrote:

Huh? 2 + 2 + (2/2).

See Subject header: "Using only two 2s"

2 + 2 + (2/2) uses four twos.

--
Richard Heathfield
Email: rjh at cpax dot org dot uk
"Usenet is a strange place" - dmr 29 July 1999
Sig line 4 vacant - apply within

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On 23/05/25 20:46, Richard Heathfield wrote:

On 23/05/2025 11:32, RunningMuso wrote:

Huh? 2 + 2 + (2/2).

See Subject header: "Using only two 2s"

2 + 2 + (2/2) uses four twos.

Yes, but they taught me at school that two twos are four.

--
Peter Moylan peter@pmoylan.org http://www.pmoylan.org
Newcastle, NSW

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Richard Heathfield <rjh@cpax.org.uk> wrote:

On 23/05/2025 11:32, RunningMuso wrote:

Huh? 2 + 2 + (2/2).

See Subject header: "Using only two 2s"

2 + 2 + (2/2) uses four twos.

And by a well-known result due to Dirac
any number can be written with four 2s

Jan

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On 23/05/2025 13:51, Peter Moylan wrote:

On 23/05/25 20:46, Richard Heathfield wrote:

On 23/05/2025 11:32, RunningMuso wrote:

Huh? 2 + 2 + (2/2).

See Subject header: "Using only two 2s"

2 + 2 + (2/2) uses four twos.

Yes, but they taught me at school that two twos are four.

<smile> Did they also tell you were were two clever by half ? That means
one's very clever.

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On 23/05/2025 13:39, J. J. Lodder wrote:

And by a well-known result due to Dirac
any number can be written with four 2s

Any number, including transcendentals? Please ask Dirac to express "pi"
with four 2s for me.

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On 23/05/2025 12:51, Peter Moylan wrote:

On 23/05/25 20:46, Richard Heathfield wrote:

On 23/05/2025 11:32, RunningMuso wrote:

Huh? 2 + 2 + (2/2).

See Subject header: "Using only two 2s"

2 + 2 + (2/2) uses four twos.

Yes, but they taught me at school that two twos are four.

Not necessarily.

2 - 2 = 0

log 2 = 1 (or just 2/2 = 1)
2

2 & 2 = 2
___
2 + floor(\/2 ) = 3
___ ___
\/ 2 x \/ 2 = 2

2 + 2 (as you say) = 4

__________
\/(.2)^(-2) = 5


floor(pi * (2&2)) = 6

ceiling(pi * (2&2)) = 7

(2&2)^floor(pi) = 8

floor(pi*pi)/(2&2) = 9

2/.2 = 10

--
Richard Heathfield
Email: rjh at cpax dot org dot uk
"Usenet is a strange place" - dmr 29 July 1999
Sig line 4 vacant - apply within

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occam <occam@nowhere.nix> wrote:

On 23/05/2025 13:39, J. J. Lodder wrote:

And by a well-known result due to Dirac
any number can be written with four 2s

Any number, including transcendentals? Please ask Dirac to express "pi"
with four 2s for me.

We were talking integers, as you well know.
And for your appreciation of English:
in the context of number tricks,
'number' means integer,

Jan

--
"Take any number..."

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On 5/23/2025 4:51 AM, Peter Moylan wrote:

On 23/05/25 20:46, Richard Heathfield wrote:

On 23/05/2025 11:32, RunningMuso wrote:

Huh? 2 + 2 + (2/2).

See Subject header: "Using only two 2s"

2 + 2 + (2/2) uses four twos.

Yes, but they taught me at school that two twos are four.

(ObPun) Dance school teaches people what tutus are for.
--
Carl G.


--
This email has been checked for viruses by AVG antivirus software.
www.avg.com

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On 2025-05-23 09:27, Carl G. wrote:

On 5/23/2025 4:51 AM, Peter Moylan wrote:

On 23/05/25 20:46, Richard Heathfield wrote:

On 23/05/2025 11:32, RunningMuso wrote:

Huh? 2 + 2 + (2/2).

See Subject header: "Using only two 2s"

2 + 2 + (2/2) uses four twos.

Yes, but they taught me at school that two twos are four.

(ObPun) Dance school teaches people what tutus are for.

SWMBO and I have a standard quip. If one of us asks the other what the
score of a game is, One possible answer is "short skirt".

--
Life is like an analogy.

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2 & 2 = 2

(Bitwise AND) interesting!


The bitwise OR operator in Python is represented by the vertical bar
symbol |

___________________

In Python, the expression (2 and 2) uses the logical and
operator, not a bitwise or arithmetic operation.

With and, Python evaluates the first operand (2), which is considered
True because it is a nonzero value.

It then evaluates the second operand (2) and returns it, since both
operands are "truthy."

Thus, (2 and 2) in Python evaluates to 2.

__________________________________

___________________ Huh! Python returns the last truthy value, just
like Lisp!



On Fri, 23 May 2025 12:38:03 +0000, Richard Heathfield wrote:

On 23/05/2025 12:51, Peter Moylan wrote:

On 23/05/25 20:46, Richard Heathfield wrote:

On 23/05/2025 11:32, RunningMuso wrote:

Huh? 2 + 2 + (2/2).

See Subject header: "Using only two 2s"

2 + 2 + (2/2) uses four twos.

Yes, but they taught me at school that two twos are four.

Not necessarily.

2 - 2 = 0

log 2 = 1 (or just 2/2 = 1)
2

2 & 2 = 2
___
2 + floor(\/2 ) = 3
___ ___
\/ 2 x \/ 2 = 2

2 + 2 (as you say) = 4

__________
\/(.2)^(-2) = 5

floor(pi * (2&2)) = 6

ceiling(pi * (2&2)) = 7

(2&2)^floor(pi) = 8

floor(pi*pi)/(2&2) = 9

2/.2 = 10

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HenHanna wrote:


Was looking this thread ove

Explain what you mean by "trick"

Is using something like INT(e) or INT(pi) over
and over and then tacking on something like 2/2
or 2 + 2 a trick?

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On 23/05/2025 21:34, lar3ryca wrote:

On 2025-05-23 09:27, Carl G. wrote:

On 5/23/2025 4:51 AM, Peter Moylan wrote:

On 23/05/25 20:46, Richard Heathfield wrote:

On 23/05/2025 11:32, RunningMuso wrote:

Huh? 2 + 2 + (2/2).

See Subject header: "Using only two 2s"

2 + 2 + (2/2) uses four twos.

Yes, but they taught me at school that two twos are four.

(ObPun) Dance school teaches people what tutus are for.

SWMBO and I have a standard quip. If one of us asks the other what the
score of a game is, One possible answer is "short skirt".

The other possibility is 'a Desmond'. If, in the UK, you asked someone
what grade their degree was (options: 'first' (first class),
'two-one'(2:1), two-two' (2:2), 'third'), the discreet answer may be 'a Desmond'. This is a reference to Despond Tutu, who was a South African Anglican bishop and theologian (RIP).

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On Mon, 16 Jun 2025 08:57:28 +0200
occam <occam@nowhere.nix> wrote:

On 23/05/2025 21:34, lar3ryca wrote:

On 2025-05-23 09:27, Carl G. wrote:

On 5/23/2025 4:51 AM, Peter Moylan wrote:

On 23/05/25 20:46, Richard Heathfield wrote:

On 23/05/2025 11:32, RunningMuso wrote:

Huh? 2 + 2 + (2/2).

See Subject header: "Using only two 2s"

2 + 2 + (2/2) uses four twos.

Yes, but they taught me at school that two twos are four.

(ObPun) Dance school teaches people what tutus are for.

SWMBO and I have a standard quip. If one of us asks the other what the score of a game is, One possible answer is "short skirt".

The other possibility is 'a Desmond'. If, in the UK, you asked someone
what grade their degree was (options: 'first' (first class),
'two-one'(2:1), two-two' (2:2), 'third'), the discreet answer may be 'a Desmond'. This is a reference to Despond Tutu, who was a South African Anglican bishop and theologian (RIP).

Beware! Only Slough has proper Desponds, all others are fake.
--
Bah, and indeed Humbug.

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On Sun, 15 Jun 2025 23:42:26 -0600
Tilde <invalide@invalid.invalid> wrote:

HenHanna wrote:

Was looking this thread ove

Explain what you mean by "trick"

Is using something like INT(e) or INT(pi) over
and over and then tacking on something like 2/2
or 2 + 2 a trick?

The trick is xposting into aue where the Hen's cluckings are not relvant
or wanted, IMO. But luckily you snipped it anyway.

fu to rec.puzzles only
--
Bah, and indeed Humbug.

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Square of (2) + 2^•

Woof

--

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