Humans have debated for decades about what messages should be sent to the stars to grab

Chapter 4, Problem 77

(choose chapter or problem)

Humans have debated for decades about what messages should be sent to the stars to grab the attention of extraterrestrials and demonstrate our mathematical prowess. In the 1970s, Soviet scientists suggested we send the exponential message

\(10^{2}+11^{2}+12^{2}=13^{2}+14^{2}\).

The Soviets called this equation "mind-catching." Evaluate the exponential expressions and verify that the sums on the two sides are equal. What is the significance of this sum?

Text Transcription:

10^2+11^2+12^2=13^2+14^2

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