## Word Play: A=1, B=2, C=3, D=4, E=5, ..

A = 1              B = 2            C = 3            D = 4           E = 5           F = 6           G = 7
H = 8              I = 9            J = 10          K = 11         L = 12        M = 13        N = 14
O = 15           P = 16         Q = 17          R = 18         S = 19        T = 20        U = 21
V = 22        W = 23        X = 24          Y = 25        Z = 26

Concatenation :

(1)   A square word is an English word such that the concatenated digits represent a square number.

For example,

$ADD \; = \; 144 \; = \; 12^2$

Find other examples

(2) A prime word :     $FA \; = \; 61$   is a prime number

Find other examples.

(3)   words that contain all digits   0 – 9   only once (and   1 – 9)

For example,

$FETCHING \; = \; 6 \; || \; 5 \; || \; 20 \; || \; 3 \; || \; 8 \; || \; 9 \; || \; 14 \; || \; 7 \; = \; 6520389147$

All digits   0 – 9   are used only once.

Find other examples. And, find words that contain all digits   1 – 9   only once.

——————————————

Find Which numbers add up to their own values

For example,    if “and” is used in numbers

two hundred and fifty one

$Two \; = \; 20+23+15$
$hundred \; = \; 8+21+14+4+18+5+4$
$and \; = \; 1+14+4$
$fifty \; = \; 6+9+6+20+25$
$one \; = \; 15+14+5)$

$two \; hundred \; and \; fifty \; one$
$\; = \; (20+23+15)+(8+21+14+4+18+5+4)+(6+9+6+20+25)+(1+14+4)+(15+14+5)$
$= \; 251$

Can you find other examples, with or without “and” in numbers?

math grad - Interest: Number theory
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### 7 Responses to Word Play: A=1, B=2, C=3, D=4, E=5, ..

1. pipo says:

Here are some ‘square’words:

9 I
81 HA
121 LA
25 BE
225 BY
169 PI
2116 UP
1225 AVE
13924 MIX
1225 ABBE
81225 HAVE
235225 WEVE
189225 RIVE
198916 SHIP

pipo

2. pipo says:

And some ‘cube’words:

125 AY
512 EL
4913 DIM
195112 SEAL
85184 HERD

pipo

3. pipo says:

The only ‘pandigital’ word I could find was indeed ‘FETCHING’. No pandigital words of ‘123456789’.
But I can only access a dictionary of 100000 English words. Perhaps someone can tell me where I can find a larger number of words?

pipo

4. Paul says:

Here is a link to my drop box with a 172800 word dictionary, it is royalty free so feel free to download it

https://www.dropbox.com/s/b2t3oslbv8n27x7/enable1.txt?dl=0

Paul.

5. pipo says:

@Paul, nice. Thanks

6. pipo says:

And found a few more square words:
121 ABA
2116 BAP
1225 ABY
1156 KEF
139122025 MILTY