d.) Find the second perfect number using the formula (2P-1)(2P – 1)and the next prime number for P. (Do not use P = 4, since 4 is not prime). TIP: when you are done, you might do a web search for perfect numbers to see if you are right. e.) Show how you know this new number is perfect by showing what the proper divisors add up to. Each f.) Find the third perfect number using the formula (2º-1)(2° – 1) and the next prime number for P. Show your work, not just your answer.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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d.) Find the second perfect number using the formula (2P-1)(2P – 1)and the next prime
number for P. (Do not use P = 4, since 4 is not prime). TIP: when you are done, you
might do a web search for perfect numbers to see if you are right.
e.) Show how you know this new number is perfect by showing what the proper
divisors add up to.
Each
the
f.) Find the third perfect number using the formula (2P-1)(2° – 1) and the next prime
number for P. Show your work, not just your answer.
g.) Use a prime factor tree to find all the prime factors of your new perfect number.
This will help you find the proper divisors.
FOl n Cha bleak, alng a inatend of
uhera
formla in the
The fo
h.) Show how you know this new number is perfect by showing what the
divisors add up to.
proper
Transcribed Image Text:d.) Find the second perfect number using the formula (2P-1)(2P – 1)and the next prime number for P. (Do not use P = 4, since 4 is not prime). TIP: when you are done, you might do a web search for perfect numbers to see if you are right. e.) Show how you know this new number is perfect by showing what the proper divisors add up to. Each the f.) Find the third perfect number using the formula (2P-1)(2° – 1) and the next prime number for P. Show your work, not just your answer. g.) Use a prime factor tree to find all the prime factors of your new perfect number. This will help you find the proper divisors. FOl n Cha bleak, alng a inatend of uhera formla in the The fo h.) Show how you know this new number is perfect by showing what the divisors add up to. proper
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