#21403  Fri Nov 03 2000 03:09 AM
Primes...again!

Prolific
Registered: Fri Nov 19 1999
Posts: 1377
Loc: Canada

1What is unusual about the prime 73939133? Gtho4 answered CORRECTLY2Each letter stands for a different digit. AGCC ABFC GDDA CEAG Not only are the numbers across, down and diagonal primes, but also acrossbackwards, up from bottom and diagonal from the bottom! Karmaloupster answered CORRECTLY 3Build a PENTAGRAM, at each point and intersection there will be a prime number. The sum of each straight line will be 84 4How many times a day does a prime number appear on your digital clock? (24:00 format) Gtho4 answered 210, my answer 211 5Why is PRIME a prime? Karmaloupster answered CORRECTLY
[This message has been edited by Thiv (edited 11042000).]
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#21404  Fri Nov 03 2000 03:24 AM
Re: Primes...again!

Administrator
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73939133 take a digit off the back end of this eight digit number, and you still have a prime etc etc 7 digit 7393913 6 digit 739391 ... 2 digit 73 1 digit 7 Thiv, welcome home, again  will get back to you on the rest seem to be getting a nose bleed thinking about them

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#21405  Sat Nov 04 2000 12:27 AM
Re: Primes...again!

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4How many times a day does a prime number appear on your digital clock (24:00 format)? 204

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#21406  Fri Nov 03 2000 01:23 PM
Re: Primes...again!

Anonymous
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5 Why is PRIME a prime? When you correspond each letter in PRIME to a number in the alaphabet starting at A=1, then the resulting sum of all the letters in PRIME is
16 + 18 + 9 + 13 + 5 = 61.... which of course is itself a prime.  If all the worlds wealth were divided between every man, woman & child presently alive on the planet, we would all have $13 million a piece. ************************************************** $13 Million for every single Human.... **************************************************

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#21407  Fri Nov 03 2000 03:50 PM
Re: Primes...again!

Prolific
Registered: Fri Nov 19 1999
Posts: 1377
Loc: Canada

G and Karma are correct! H, I have a different answer but you're not too far off! [This message has been edited by Thiv (edited 11032000).]
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#21408  Fri Nov 03 2000 08:00 PM
Re: Primes...again!

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Registered: Tue Aug 29 2000
Posts: 422
Loc: Hell Michigan USA

4How many times a day does a prime number appear on your digital clock (24:00 format)? 194

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#21409  Sat Nov 04 2000 12:02 AM
Re: Primes...again!

Prolific
Registered: Fri Nov 19 1999
Posts: 1377
Loc: Canada

Hundredaire, You're getting colder!
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#21410  Sat Nov 04 2000 02:19 AM
Re: Primes...again!

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Registered: Sun Dec 26 1999
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on a 24hr digital clock from 00:00 to 23:59 210

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#21411  Sat Nov 04 2000 02:29 AM
Re: Primes...again!

Anonymous
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Ok... #2... 2Each letter stands for a different digit. AGCC ABFC GDDA CEAG Not only are the numbers across, down and diagonal primes, but also acrossbackwards, up from bottom and diagonal from the bottom Answer : The correct numbers (I think) are:
1 9 3 3 1 2 8 3 9 5 5 1 3 7 1 9
making: A= 1 B= 2 C= 3 D= 5 E = 7 F = 8 G = 9 Nice quiz...
Next... #4 4How many times a day does a prime number appear on your digital clock (24:00 format)? Answer: 217 times per day.
 If all the worlds wealth were divided between every man, woman & child presently alive on the planet, we would all have $13 million a piece. ************************************************** $13 Million for every single Human.... **************************************************

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#21412  Sat Nov 04 2000 02:40 AM
Re: Primes...again!

Prolific
Registered: Fri Nov 19 1999
Posts: 1377
Loc: Canada

CORRECT on #2 Karmaloupster! G, I have 211 so I'll give you an Honourable mention! Still waiting for the pentagram!
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#21413  Sat Nov 04 2000 03:31 AM
Re: Primes...again!

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2. this is a close as I can get as I'm losing too much blood, there are 20 numbers and 17 are primes, 3 aren't" 3283 (diagonal bottom LH top RH cnr) 9427 (2nd col from leeeft, going down) 3841 (2nd row from top, going backwards right to left) 1933 1483 9221 3719 3. a pentagram  a five pointed star drawn with 5 straight lines, in one continuous stroke, each straight line having four intersections/points  so every line has 4 primes which add to 84, if I've got you right Thiv there's no way I can draw this .. a 5 pointed star has an apex at the top AP, two points at the bottom  one at bottom left BL and one at bottome right BR, a left point LP, and a right point RP ... trying this clockwise from the top AP 13 RP 43 BR 41 BL 17 LP 7 the line from the left point LP to the right point RP has 23 and 11 in the middle at the two intersections  so that line reads 7 23 11 43 left to right the (almost) vertical line from apex AP to the bottom left point BL has 23 and 31 in the middle at the intersections  so that line reads 13 23 31 17 top to bottom the other (almost) vertical line from apex AP to the bottom right point BR has 11 and 19 in the middle  so that line reads 13 11 19 41 top to bottom

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#21414  Sat Nov 04 2000 03:36 AM
Re: Primes...again!

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oi! I've been punching away for an hour and KL solved it blood was lost unnecessarily lol re 210, do you want me to list them! I counted them 5 times (notice it's not an even number0 ok you two, here's an easy one ... what is the highest 3 digit prime? call it KLM .. what is the KLMth prime?

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#21415  Sat Nov 04 2000 03:50 AM
Re: Primes...again!

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Thiv, one thousand apologies, just counted them again (that makes six, five recounts .. sounds like scrutineers at an election) and there are indeed 211 and not 210, sorry mate my error was in 1800 to 1859, my original count and four recounts had 4 primes, when everyone knows there are 5 primes in that hour

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#21416  Sat Nov 04 2000 03:53 AM
Re: Primes...again!

Anonymous
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hey Gt...sorry bout that believe me it was drawing blood here too..been on it all day..lol..not sure what I am being suckered here with but it is with trepidation that I post the "KLM" th prime number as 997 pr aare you after threedigit # with three differen digits, ie "K .. L....M...", then it is 983. have I fallen for something here GT?
 If all the worlds wealth were divided between every man, woman & child presently alive on the planet, we would all have $13 million a piece. ************************************************** $13 Million for every single Human.... **************************************************

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#21417  Sat Nov 04 2000 07:13 AM
Re: Primes...again!

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ok, you're halfway there  what is the 997th prime number e.g. the 25th prime number is 97 you know I went and checked your box of numbers and damn, it cross added correctly, so I pulled all the scraps out of the garbage bin and found my workings which had your / Thiv's numbers, and I marked that one as no go, and moved onward .. der! if you want some more primes go back in the archives to earlier in the year, Thiv posted some doozies

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#21418  Sat Nov 04 2000 09:15 AM
Re: Primes...again!

Anonymous
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lol gtho know what you mean...i only saved a qurater of a ream when I stopped trying to "palindromise" each one before accepting it or tossing it out....once i found out that there were no such beasts as 4 digit prime #'s.. (ie 7887 is not prime, must have five..like 10301)....you know damn well gt that i'll be chasing down ya' insignificant 997th prime # even if i have to work it out manually..lol...so i have answer I hope... the 997th prime # = 7883 if the next step is the 7883rd Prime then I have got that one...if it is not the step and I have presumed hastily feel well in the knowledge that i wasted my time learning about Primes..lol..ok here is the 7883rd.. the 997th prime # = 80429 ( i think)
and i'm stopping here and hoping... here's one to chase if u and everyone else would like, it's probably something that everybody already knows or have come across .... What is the only number which is palidrominc and prime and has an even number of digits?
Easy one  If all the worlds wealth were divided between every man, woman & child presently alive on the planet, we would all have $13 million a piece. ************************************************** $13 Million for every single Human.... **************************************************

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#21419  Sat Nov 04 2000 08:10 PM
Re: Primes...again!

Prolific
Registered: Fri Nov 19 1999
Posts: 1377
Loc: Canada

My apologies! By PENTAGRAM I meant a 5pointed STAR... (do not link corners directly) Wanna try a cube, anyone? This time I'll be SPECIFIC, count only TWO ADJACENT CORNERS! that total to a prime number(numbers 07) as for What is the only number which is palidrominc and prime and has an even number of digits? ...will get back to you! My guess is G will get it first!
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#21420  Sat Nov 04 2000 09:03 PM
Re: Primes...again!

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Thiv, I don't think there is one .. when looking at primes doing your Q2 none of the 4 digit primes were palindromes. Your 2nd bottom row was GDDA so I looked at all the 4 digit primes with double middles .. and for the last ten minutes I've been doing a few divisions longhand (can't find a darn calculator!), and every 4 digit palindrome I've written down, prime or not, was divisible by 11  remember reading that somewhere. Every 2 digit number which is a palindrome is divisible by 11, add on another 2 digits then that 4 digit number is (should?) also be divisible by 11. I don't remember calculus and theroems from school as it's now too far back, to +vely prove this, altho it sounds logical! lol .. ok, found a calculator  and every 4 digit and 6 digit prime I've tried is divisible by 11, ditto a couple of 8 digit ones I've tried. Have found odd digit numbers which are primes, but no even digit primes. Let's wait till KL gets back in here and we'll see if he's pulling our leg and/or sending us on a wild goose chase .. if there is one (which I now doubt) it can only begin with 1 3 7 or 9 .. here are some odd digit primes which are palindromes, there are 15 of them under 1,000 101 131 151 181 191 313 353 373 383 727 757 787 797 919 929 ~~~~~~~~~~~~~~~~~~ re the numbers and star posted above  I didn't join the corners of the five pointed star, did I?! e the cube, what do the two adjacent corners add to  anything  so long as it's a prime  yes?

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#21421  Sat Nov 04 2000 11:18 PM
Re: Primes...again!

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#21422  Sat Nov 04 2000 11:58 PM
Re: Primes...again!

Prolific
Registered: Fri Nov 19 1999
Posts: 1377
Loc: Canada

Re: Cube The two adjacent corners must be a single digit (07) AND total to a prime number! Re: Pentagram Give up?
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#21423  Sun Nov 05 2000 12:18 AM
Re: Primes...again!

Anonymous
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GTHO is correct with the only even prime, 11. Wild gooose chase indeed..lol. Thiv I'll have a crack at the Pentagram and get back to you.
 If all the worlds wealth were divided between every man, woman & child presently alive on the planet, we would all have $13 million a piece. ************************************************** $13 Million for every single Human.... **************************************************

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#21424  Sun Nov 05 2000 01:39 AM
Re: Primes...again!

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Loc: Sydney oz downunder

cube is lying down facing us sequence: clockwise beginning at top LH corner, then top RH corner, bottom RH corner and finishing at bottom LH corner ... 1 4 7 6 the face we're looking at rotate the cube clockwise 4 3 0 7 is what we're now looking at rotate the cube clockwise again 3 2 5 0 is what we're now looking at and one more time 2 1 6 5 is the last face we're looking at now back to the start, these are the adjoining corners: 1+4=5 4+7=11 7+6=13 6+1=7 rotate the cube again clockwise, these are the corners: 4+3=7 3+0=3 0+7=7 7+4=11 rotate the cube clockwise again, these are the corners: 3+2+5 2+5=7 5+0=5 0+3=3 and the last face 2+1=3 1+6=7 6+5=11 5+2=7 this rotation sequence has also covered the face on which the cube is lying (can't see it!) and the face on top which is facing up .. if this still makes no sense, go ahead .. make my day, shoot me

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#21425  Sun Nov 05 2000 02:01 AM
Re: Primes...again!

Administrator
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there's noway I'm gonna explain or draw this pentagram so we both get on the same wavelength .. there's a drawing of a pentagram at http://celt.drak.net/alliekat/images/pentelem.gif which I won't copy into here as that page is copyright as per the main page http://www.celt.drak.net/alliekat/pentagram.htm anyway, using that drawing as a reference point this is what all the abbreviations in the post above mean: AP 13 ... spirit .. apex on that web page RP 43 ... water .. the Right Point BR 41 ... fire ..... the Bottom Right point BL 17 ... earth .... the Bottom Left point LP 7 .... air .... the Left Point 13 23 31 17 ... the line spirit>earth 13 11 19 41 ... the line spirit>fire 7 23 11 43 ... the horizontal line air>water 7 31 5 41 .... the line air>fire 43 19 5 17 .... the line water>earth

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#21426  Sun Nov 05 2000 02:23 AM
Re: Primes...again!

Prolific
Registered: Fri Nov 19 1999
Posts: 1377
Loc: Canada

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#21427  Sun Nov 05 2000 04:41 AM
Re: Primes...again!

Anonymous
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Well done GTHO.  If all the worlds wealth were divided between every man, woman & child presently alive on the planet, we would all have $13 million a piece. ************************************************** $13 Million for every single Human.... **************************************************

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