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# Cipher

17 replies to this topic

### #11 ALFRED

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Posted 13 March 2008 - 03:33 PM

Cipher - Back to the Number Puzzles
Find the cipher if:

1. The cipher is made of 6 different numerals.
2. Even and odd figures alternate, including zero (in this case as an even number).
3. The difference of adjacent numerals is always bigger than one.
4. The first two numerals (as one number) as well as the two middle numerals (as one number) are a multiple of the last two numerals (as one number).

What is the cipher? (more than 1 solution)

Spoiler for Solution

I'm not seeing how the first two and second two numerals are a multiple of the last two numerals in 496307. Can you help me out?
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### #12 ALFRED

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Posted 13 March 2008 - 03:37 PM

I'm not seeing how the first two and second two numerals are a multiple of the last two numerals in 496307. Can you help me out?

nevermind I see it now. I thought you meant the sum of the two numerals. which surprisingly works for all the other solutions.
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### #13 gmarsha11

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Posted 26 March 2008 - 10:16 PM

EDIT: ...wait... That doesn't meet the 1st requirement that they be "different" numerals.

so, 274503 should meet the requirements.

2nd EDIT: Crap. the 4 and 5 are consecutive. hmmm....

Edited by gmarsha11, 26 March 2008 - 10:20 PM.

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### #14 demented

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Posted 12 April 2008 - 08:04 AM

692703 is what I've come up with.

Not that my entry does it, but the OP could've made it more interesting if he asked for the 'smallest' possible number meeting the criteria.

Edited by demented, 12 April 2008 - 08:13 AM.

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### #15 altocumulus

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Posted 14 June 2008 - 04:15 PM

I got 276309 by trial & error, I'm sure there are more.

"adjacent" means next to, not the 1st and 6th digit of the final number.

276309 has 7 & 6 next to each other, and also the questioner doesn't state whether the numerals 9 & 0 should be regarded as adjacent (as they are on a bicycle padlock for example)
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### #16 altocumulus

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Posted 14 June 2008 - 04:22 PM

Well I think there are only two possible solutions, if 9 and 0 are to be regarded as adjacent and therefore excluded.

692703 and 496307

these others use 9 & 0 together:

903618; 816903 and 816309
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### #17 Polynym

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Posted 05 August 2010 - 01:53 PM

Am I correct in assuming
Spoiler for assumption

Edited

Edited by Polynym, 05 August 2010 - 02:01 PM.

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### #18 Brain Tickler

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Posted 03 September 2010 - 01:46 PM

thank you to everyone for using a spoiler..much obliged

Edited by Brain Tickler, 03 September 2010 - 01:46 PM.

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