.
PIT
N
PEND
ULUM
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***TI
Cinelli
Thanks to Wasron,jfgw,Rhyd6,eyeball08,Wondergirly, for Donating to support the site
.
QUOTH
THE
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RAVEN
jfgw wrote:This is driving me potty
I see that there are only nine letters. Are you just using the digits 1 to 9?
I have found one solution except that the answer is not prime (the digits add up to a multiple of 3).
jfgw wrote:
I see that there are only nine letters. Are you just using the digits 1 to 9?
cinelli wrote:In this alphametic all numbers are prime.
PIT
N
PEND
ULUM
-----
***TI
Cinelli
.
613
2
6427
8089
-----
15131
.
PIT
N
PEND
ULUM
-----
***TI
kc
UncleEbenezer wrote:Did someone say Poe? His corvidian subject spoke of the possibility of odd numbers featuring in:.
QUOTH
THE
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RAVEN
19578
786
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20364
Gengulphus wrote:Possibly-partial spoiler...
GoSeigen wrote:D,I,M,T=[1379] (odd)
N=2 because I is odd
c,k are carries
c=[12]
A. if c=1, u is odd
1. if T,D,M=[139] then I=5, U=7
thus T=5 which is same as I, so c=2 by contradiction
2. other T,D,M don't give a valid I.
B. if c=2, u is even, U=[468]
1. if T,D,M=[379] then ...
Gengulphus wrote:A rather quicker route through that:
So D+I+M+T = 20, and the rightmost column tells us that D+M+2+T = 10*c + I, or 10*c - 2 = D-I+M+T = (D+I+M+T) - 2*I = 20 - 2*I. Rearranging that gives 2*I = 22 - 10*c, or I = 11 - 5*c. So c=1 would imply that I=6, which isn't possible, and therefore c=2, I=1 and T,D,M=[379].
Gengulphus
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