bers Euclid (born approx. 300 BCE) discovered that the first four perfect numbers are generated by the formula (2P-1)(2P – 1), where P is prime. a.) The second part of this formula, (2P – 1), is a special kind of prime number, invented by a French monk, called a prime (sec. 2.1). b.) Show how you would use this formula (2P-1)(2P – 1)with P= 2. You should get the first perfect number, 6. Caution: in the first part, (2P-1), all of the P-1 is in the exponent. In the second part, (2P – 1), only the P is in the exponent. c.) Show how you know 6 is perfect by showing what its proper divisors add up to.
bers Euclid (born approx. 300 BCE) discovered that the first four perfect numbers are generated by the formula (2P-1)(2P – 1), where P is prime. a.) The second part of this formula, (2P – 1), is a special kind of prime number, invented by a French monk, called a prime (sec. 2.1). b.) Show how you would use this formula (2P-1)(2P – 1)with P= 2. You should get the first perfect number, 6. Caution: in the first part, (2P-1), all of the P-1 is in the exponent. In the second part, (2P – 1), only the P is in the exponent. c.) Show how you know 6 is perfect by showing what its proper divisors add up to.
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter11: Rational And Irrational Numbers
Section11.8: Adding And Subtracting Radicals
Problem 5E
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