One possible conjecture is that each square number up to 1000 has 4 factors. The conjecture is manifestly false, but it is still a conjecture.
There is no logical conjecture that can be made for what could be an irregular polygon with an unknown number of sides. Of course, you could always conjecture anything. For example, that they will taste of strawberries. A conjecture that, I guess, will be disproved quite easily.
2 would be a counterexample to the conjecture that prime numbers are odd. 2 is a prime number but it is the only even prime number.
Goldbach's conjecture says that every even number greater than two can be expressed as the sum of 2 primes. If 30 could not be expressed as the sum of two primes, then this would disprove the conjecture. As it is, 30 can be expressed as the sum of two primes. You can express it as 11+19. Thus, Goldbach's conjecture holds in this case.
There is not "the" conjecture: there are several. The oldest and probably best known unsolved conjecture in number theory is the Goldbach conjecture. According to it every even integer greater than two can be expressed as the sum of two prime numbers.
A conjecture is a proposition that is unproven but appears correct and has not been disproven.
One possible conjecture is that each square number up to 1000 has 4 factors. The conjecture is manifestly false, but it is still a conjecture.
There is need for a conjecture. It is an easily proven fact that an even number minus an even number is always an even number.
The Goldbach conjecture is probably one of the best known. The conjecture is that every even number greater than 2 can be expressed as a sum of two primes. T. Oliveira e Silva has confirmed the conjecture for number up to 4*10^18 but, despite many years of effort, the conjecture has not been proved.
One possible conjecture: The product is always an odd number. Another possible conjecture: The product is always greater than either of them. Another possible conjecture: Both odd numbers are always factors of the product. Another possible conjecture: The product is never a multiple of ' 2 '. Another possible conjecture: The product is always a real, rational number. Another possible conjecture: The product is always an integer.
There is no logical conjecture that can be made for what could be an irregular polygon with an unknown number of sides. Of course, you could always conjecture anything. For example, that they will taste of strawberries. A conjecture that, I guess, will be disproved quite easily.
2 would be a counterexample to the conjecture that prime numbers are odd. 2 is a prime number but it is the only even prime number.
The future tense of "conjecture" is "will conjecture."
Goldbach's conjecture says that every even number greater than two can be expressed as the sum of 2 primes. If 30 could not be expressed as the sum of two primes, then this would disprove the conjecture. As it is, 30 can be expressed as the sum of two primes. You can express it as 11+19. Thus, Goldbach's conjecture holds in this case.
A+
There is not "the" conjecture: there are several. The oldest and probably best known unsolved conjecture in number theory is the Goldbach conjecture. According to it every even integer greater than two can be expressed as the sum of two prime numbers.
Their product will also be an odd number.