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12-10-2016 , 10:16 PM
#226
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Addendum to above post -- I kicked off my computer program on the primes and ...

Spoiler:
The smallest number of pips I have found is:
0, 6, 12, 36, 42, 96
5, 11, 17, 31, 61, 67
which is a total of 384

384 can also be achieved by:
0, 6, 12, 26, 56, 62
5, 11, 17, 41, 47, 101
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12-23-2016 , 09:15 PM
#227
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NEW PUZZLES THAT ARE SIMPLER
ANSWER NOW WHILE THE NERDS ARE ENJOYING CHRISTMAS!!!

What are the fewest notches you need to put on a 1 foot ruler so that you can measure 1,2,3,4,5,6,7,8,9,10,11 or 12 inches in a single measurement?

I buy 1 screw in Delaware and I need to pay using 4 coins if I want to pay exactly and use the fewest number of coins possible. If I bought 2 screws then I would need 6 coins. If I bought 3 screws then I would only need 2 coins. How much does a screw cost?
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12-23-2016 , 09:42 PM
#228
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Puzzle #1 can be done in

Spoiler:
4 notches.

They would be at placements of:
Spoiler:
1 inch, 4 inches, 7 inches and 10 inches


I don't think it can be done in 3, but I'm still checking.
Last edited by iraisetoomuch; 12-23-2016 at 09:50 PM.
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12-23-2016 , 09:55 PM
#229
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Spoiler:
Possible distances for 3 notches

Beginning to notch 1
B to N2
B to N3
B to end
N1 to N2
N1 to N3
N1 to en
N2 to N3
N2 to end
N3 to end

So only 10 possible distances so we can't cover 1 through 12. So 4 notches looks optimal

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12-23-2016 , 09:59 PM
#230
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Puzzle 2 is kinda meh imo as it requires the use of
Spoiler:
A 50c piece


And if that's the case then the only solution that I find is

Spoiler:
17c, 34c, 51c
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12-30-2016 , 03:13 AM
#231
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01-01-2017 , 05:35 AM
#232
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Great video which linked me to another video and another puzzle.

NEW PUZZLE

e^x =

(the higher n is the more accurate the approximation).

using the digits 1, 2, 3, 4, 5, 6, 7, 8 & 9 at most once each come up with the most accurate approximation for e
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01-01-2017 , 05:38 AM
#233
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for example:

1.5^2 = 2.25 which is kinda close to e, but I'm sure you can do better
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01-30-2017 , 02:37 PM
#234
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Thought I would bump this. This is not really a puzzle... well.. sort of..

Open your google maps to a map of the USA.

Start in any state beginning with "M." Go to a bordering state starting with a vowel, then a bordering state starting with a consonant, then a vowel, then a consonant, etc until you cant go any more.

I got 21 states on my first try. Can you connect more that 21 states?? If so, post your number in spoilers. On Tuesday we can get the person with the highest score to show their route.

Honour system folks. Don't look at spoilers until after you have posted...
Last edited by ArcticKnight; 01-30-2017 at 02:42 PM.
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01-30-2017 , 02:45 PM
#235
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Spoiler:
21 total including the starting state.


Spoiler:
Given that there's only 12 vowel states (and one of them is off the map, and another is pretty far away from all the others), I think this might be is the maximum.
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01-30-2017 , 04:10 PM
#236
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Ok, not the greatest puzzle question..... 21 is the max.

Alabama is like the Hotel California.. you can enter, but you can't leave.

Anyway, at least the thread is bumped for some proper puzzle questions...
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01-30-2017 , 06:41 PM
#237
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Spoiler:
21 starting in Montana and basically going counterclockwise
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01-30-2017 , 06:44 PM
#238
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I just used this map. Easier than google maps.

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02-05-2017 , 09:56 AM
#239
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Quote:
Originally Posted by xander biscuits
Great video which linked me to another video and another puzzle.

NEW PUZZLE

e^x =

(the higher n is the more accurate the approximation).

using the digits 1, 2, 3, 4, 5, 6, 7, 8 & 9 at most once each come up with the most accurate approximation for e
BUMP for ignored puzzle

too hard?
too easy?
not interesting enough?
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02-05-2017 , 11:11 AM
#240
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What operations are allowed? Because I could just do this...

Spoiler:

sqrt(limn->infinity (1+2/n)n + 3456789)

which equals exactly e. I have a feeling that's not what you're after though
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02-05-2017 , 11:23 AM
#241
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not really a puzzle but a fun question to test someone's quickness and understanding:

without using a calculator or anything, what are the last 6 digits of 47! ?
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02-05-2017 , 12:40 PM
#242
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Quote:
Originally Posted by DarkMagus
What operations are allowed? Because I could just do this...

Spoiler:

sqrt(limn->infinity (1+2/n)n + 3456789)

which equals exactly e. I have a feeling that's not what you're after though
you need to come up with a number for n, you can't leave it in there as n.

Also you can use +, -, /, x, brackets and indices.
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02-05-2017 , 12:42 PM
#243
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Quote:
Originally Posted by Sun Tzu
not really a puzzle but a fun question to test someone's quickness and understanding:

without using a calculator or anything, what are the last 6 digits of 47! ?
Spoiler:
000000

would end with 10 zeroes I think
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02-05-2017 , 12:42 PM
#244
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Quote:
Originally Posted by Sun Tzu
not really a puzzle but a fun question to test someone's quickness and understanding:

without using a calculator or anything, what are the last 6 digits of 47! ?
Reasonably sure it's
Spoiler:
000000
because:
Spoiler:

47!/(40*30*20*10*2*5*12*15) will always be a whole number since it has to be.
And (40*30*20*10*2*5*12*15) ends in 6 zeros.
There is likely exactly 9 zeros at the end of it, since 22*25, 32*35, 42*45 will also apply

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02-05-2017 , 12:51 PM
#245
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Quote:
Originally Posted by xander biscuits
Spoiler:
000000

would end with 10 zeroes I think
Spoiler:
How'd you end up with 10?
That is the correct answer, but I'm not sure what I'm missing.
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02-05-2017 , 12:52 PM
#246
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Spoiler:
Yeah, any largish factorial is going to end in a bunch of zeroes since there will be bunches of 5s and 2s.

It's obvious if you think about it but I never thought about it until recently because I had always seen the results of factorials in scientific notation.
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02-05-2017 , 12:57 PM
#247
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Quote:
Originally Posted by iraisetoomuch
Spoiler:
How'd you end up with 10?
That is the correct answer, but I'm not sure what I'm missing.
Spoiler:
I'm pretty sure that you're overlooking that 25=5x5
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02-05-2017 , 12:58 PM
#248
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Quote:
Originally Posted by iraisetoomuch
Spoiler:
How'd you end up with 10?
That is the correct answer, but I'm not sure what I'm missing.
Spoiler:
you're going to have more than enough 2s so count the 5s.

5, 10, 15, 20, 25, 25, 30, 35, 40, 45

if you were coming up with 9, you were probably forgetting that 25 has 2.
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02-05-2017 , 01:00 PM
#249
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Ah, right.
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02-05-2017 , 01:10 PM
#250
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Quote:
Originally Posted by xander biscuits
you need to come up with a number for n, you can't leave it in there as n.
n is a dummy variable for the limit. it goes to infinity.

Quote:
Also you can use +, -, /, x, brackets and indices.
Now that's more like it. I'll just leave this here for now and then someone can try to improve on it

Spoiler:

2.73-1/(9*8+4+5+6)

= 2.718506

off by 0.000224
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