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?

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

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About benvitalis

math grad - Interest: Number theory
This entry was posted in Number Puzzles and tagged . Bookmark the permalink.

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
    144 ADD
    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
    185145181225 READERLY

    pipo

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