Euclid laid out the basics of perfect numbers over 2,000 years ago, and he knew that the first four perfect numbers were 6, 28, 496 and 8,128. Since then, many more perfect numbers have been discovered.
So, 1 is not a perfect number. What are the first 5 perfect numbers? The first 5 perfect numbers are 6, 28, 496, 8128, and 33550336.
perfect number, a positive integer that is equal to the sum of its proper divisors. The smallest perfect number is 6, which is the sum of 1, 2, and 3. Other perfect numbers are 28, 496, and 8,128. The discovery of such numbers is lost in prehistory.
What are the Perfect Numbers? Definition: A Perfect Number N is defined as any positive integer where the sum of its divisors minus the number itself equals the number. The first few of these, already known to the ancient Greeks, are 6, 28, 496, and 8128.
There the missing number is 9.
“The best number is 73,” Cooper explained in the episode. “Why? 73 is the 21st prime number. Its mirror, 37, is the 12th, and its mirror, 21, is the product of multiplying seven and three ... and in binary, 73 is a palindrome, 1001001, which backwards is 1001001.”
Lucky number 7 is even the basis for many myths and folklore. Ancient beliefs from around the world believed that the seventh son of the seventh son would be gifted with magical powers (both good and evil). In the Bible, scholars claim that God created the world in six days and used the seventh day to rest.
At the moment the largest known Mersenne prime is 2 82 589 933 − 1 2^{82 589 933} - 1 282 589 933−1 (which is also the largest known prime) and the corresponding largest known perfect number is 2 82 589 932 ( 2 82 589 933 − 1 ) 2^{82 589 932} (2^{82 589 933} - 1) 282 589 932(282 589 933−1).
It is not known whether there are infinitely many perfect numbers, nor whether there are infinitely many Mersenne primes. As a side note, there are names for non-perfect numbers: if the sum of a number's proper factors are less than the number, it's a deficient number.
While the general form of even perfect numbers is well-known, the existence or non-existence of odd perfect numbers is still an open problem.
Throughout human history, the number 3 has always had a unique significance, but why? The ancient Greek philosopher, Pythagoras, postulated that the meaning behind numbers was deeply significant. In their eyes the number 3 was considered as the perfect number, the number of harmony, wisdom and understanding.
Since zero satisfies all the definitions of squares, it is considered as a perfect square.
In number theory, a perfect number is a positive integer that is equal to the sum of its positive divisors, excluding the number itself.
Seven can also be considered an unlucky number since the 7th month (July) is a "ghost month". It also sounds like "to deceive" (欺, pinyin: qī) in Mandarin.
The most powerful number of all, 22 is often found in the charts of people who are doers, leaders, and visionary builders. These are individuals who are capable of turning wild dreams into solid accomplishments – blessed with the intuition of the number 11 but possessing a more disciplined approach to action.
777 in Chinese: 777 means togetherness and represents the 7 elements of Yin and Yang. The 777 angel number promises that no matter what you're going through in life, there is always something to learn.
The number 42 is especially significant to fans of science fiction novelist Douglas Adams' “The Hitchhiker's Guide to the Galaxy,” because that number is the answer given by a supercomputer to “the Ultimate Question of Life, the Universe, and Everything.” Booker also wanted to know the answer to 42.
The number 9 is revered in Hinduism and considered a complete, perfected and divine number because it represents the end of a cycle in the decimal system, which originated from the Indian subcontinent as early as 3000 BC.
The divisors of 69 are \[1,3,23,69\]. So, the number 69 has more than two divisors. So, 69 is NOT a prime number.
Solution(By Examveda Team)
The pattern in both I and II is + 11. So, missing term = 43 + 11 = 54.
Hence, '16' is the correct answer.
We are given that the series is 2, 12, 36, 80, 150. Thus, we have a series of differences of 10, 24, 44, 70. Let us assume that the fifth term is \[x\]. Thus, we have a new series of differences: 14, 20, 26.