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What is an example of a conjecture?
A famous conjecture is the Twin prime conjecture, which states that there are infinitely many "twin primes" - primes which are 2 apart (for example, 11 and 13, or 17 and 19, are twin primes)
Use the word conjecture in math sentence?
Goldbach's conjecture states that every even integer which is greater than 2 can be expressed as the sum of two prime numbers.
What is an example of a conjecture problem?
Goldbach's conjecture states that every even integer which is greater than 2 can be expressed as the sum of two prime numbers. This has been shown to be correct for integers up to approx 4 quintillion but has not been proven.
Where did the BLT originate?
United States
What odd composite number between 50 and 60 can be written as the sum of two prime numbers?
The odd composite numbers between 50 and 60 are 51, 55, and 57. Because all the primes are odd except for 2 and adding two odd numbers will result in an even number, one of the two prime numbers must be 2, which when added to an odd number will result in an odd number. So, we subtract 2 from each of these numbers and check whether it is prime. 51 - 2 = 49, which is not prime. 55 - 2 = 53, which is prime. 57 - 2 = 55, which is not prime. Thus, the number is 55, which can be written as 2 + 53.
How many primes under 100000000?
There are 5,761,455 prime numbers less than 100,000,000 according to the Prime Number Theorem, which estimates the distribution of prime numbers. This theorem states that the density of primes around a large number n is approximately 1/ln(n). Therefore, the number of primes under 100,000,000 can be estimated by dividing 100,000,000 by the natural logarithm of 100,000,000, which is approximately 5,761,455.
What is the Linear Pair conjecture?
The linear pair conjecture states that if two angles form a linear pair, the sum of the angles is 180 degrees.
How can you get 94 with only using 2 plus 3 plus 4and 6?
You cannot. A very important theorem in algebra states that every number has a unique factorization into prime numbers, meaning every number can be expressed as a product of prime numbers *in only one way*. What you're asking is whether 94 can be expressed as a multiple of the prime numbers 2 and 3 (I ignore 4 and 6, since they are in themselves multiples of 2 and 3, as 4=2x2 and 6=2x3). Clearly, 94=2*47. Now, both 2 and 47 are prime numbers, and since we've stated that every number can be expressed as a product of primes in only one way, this must be the only way. As we can see, 3 is not part of this factorization, and therefore 94 cannot be expressed as a multiple of 2's and 3's.
Characteristics of numbers and prime factorization?
Each number is either itself a prime number, or it can be separated into smaller prime numbers. A prime number is a number that has no smaller factors. Factorization into prime factors is unique, except for the order of the factors.
Can every number be written as the sum of two prime numbers?
No. 2 is even and cannot be written as a sum of 2 prime numbers.For even numbers greater than 2, this is the Goldbach conjecture, one of the best known conjectures. It has been shown to hold true up to 4*10^18 but has not been proved.
Constitution states that these powers are federal governments?
The Constitution states that expressed powers are the federal governments.
What does the Prime Factorization Theorem say?
In number theory, the fundamental theorem of arithmetic, also called the unique factorization theorem or the unique-prime-factorization theorem, states that every integer greater than 1 is either prime itself or is the product of prime numbers, and that, although the order of the primes in the second case is arbitrary, the primes themselves are not.
