The 26 letters of the alphabet are assigned prime number values in consecutive order beginning with 2. The product of the values of the letters of a common math term is 595034. What is the term?

Question

Mathematics

Siena Humphrey

1 May, 14:16

The 26 letters of the alphabet are assigned prime number values in consecutive order beginning with 2. The product of the values of the letters of a common math term is 595034. What is the term?

+2

Answers (1)

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Aleena Lam · Answer 1

Step-by-step explanation:

A x B x C x ... x U x V + W x X x Y x Z=595034

a=2

b=3

c=5

d=7

e=11

f=13

g=17

h=19

i=23

j=29

k=31

L=37

m=41

n=43

o=47

p=53

q=59

r=61

s=67

t=71

u=73

v=83

w=89

x=97

y=101

z=103

2 x 3 x 5 x 7 x 11 x ... x 101 x 103=595034

(1x2) x (1x3) x (1x 5) x (1 x7) x ... x 1 (101) x 1 (103)

the general form is 2K+1

2k x 2k+1 x 2k+1, ... x 2k + 1 (26 terms)

2k (1+1+1+1 ... + 1)

2k x 26=595034 (/2)

k x 13=297517

13k = 297517

k ≈ 22885.9230769

its a gauss multiplication good luck