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Powerful Parade (Posted on 2023-09-03)

If
4^a + 5^b + 6^c = 8^8 + 9^9 + 10^10

then what is the sum S=a+b+c (each a positive integer)?

No Solution Yet Submitted by Ady TZIDON

Rating: 4.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

re: I might be wrong but...

| Comment 2 of 5 |

(In reply to I might be wrong but... by Kenny M)

The below also fails to find a solution:

clc,clearvars

rhs=8^8+9^9+10^10

for tot=2:30

for a=0:tot-1

if 4^a>rhs

break

end

for b=0:tot-a

if 5^b+4^a>rhs

break

end

c=tot-a-b;

lhs=4^a+5^b+6^c;

if lhs>rhs

continue

end

if abs(lhs-rhs) < .1

disp([a b c lhs rhs])

end

Posted by Charlie on 2023-09-03 10:40:16

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