No two prime numbers added together have a sum of 97. All primes except the number 2 are odd numbers, and two odd numbers added together always produce an even sum.
The Answer:We know the following properties of the parities concerning the numbers: odd + odd = eveneven + odd = odd (commutativity yields the vice verca possible too)even + even = evenThus, we know that the group of numbers have at least 1 odd. However, since 2 odds make an even, any amount of even amount of odds make an even. Therefore, there must be an odd number of odds (i.e., {1, 3, 5}, the only ones that exist in that set).QED.
For any even number n, the following integer is odd (n+1), so for any odd number other than 1, you are adding the preceding even number, plus 1. Because all even numbers are multiples of 2, their sum is even, and 1 more will be an odd number.---Think of the odd number as an even number plus one and remember that all even numbers are multiples of two.Therefore:- Any two even numbers added together will always be a multiple of two and therefore even. Any two odd numbers added together will be the same as adding two even numbers plus 1 plus 1. (A multiple of two plus two which is still a multiple of two).An odd number added to an even number will be the same as two even numbers plus 1 in other words a multiple of two (even) plus one making the result odd.Extrapolating further it's easy to see that by the above reasoning that for all positive integers...Any number of even numbers added together will always be even.An odd number of odd numbers added together will always be odd.Any even number of odd numbers added together will always be even,Adding any number of even numbers to any number of odd numbers will make no difference to the outcome, the odd or even outcome will still be determined by the number of odd numbers being added together.---Another approach:Let n, r be real numbers even number representation: 2nodd number representation: 2n + 1sum = 2n + 2n + 1 = 4n + 1 = 2(2n) + 1let 2n = rsum representation becomes: 2r + 1, which is a representation of an odd number.
The concepts "even" and "odd" apply to whole numbers. They don't make sense for other classes of numbers, such as rational numbers, real numbers, complex numbers, etc.
No, even numbers are evenly divisible by two, which means that only the multiples of two are even numbers. Odd numbers make up the other integers. There is no such thing as an odd or even decimal.
No (Assuming you mean if they are added together).The sum of an odd number (e.g. 5) of odd numbers will always be odd!
The answer depends on how many odd numbers are being added together: even numbers make no difference.If the count of odd numbers is odd then the total is odd, andff the count of odd numbers is even then the total is even.
2 odd numbers added together equal an event number. to even numbers added together equal an even number. it is impossible to make 4 odd numbers equal an even.
It is impossible.
There are no 5 odd numbers that when added together make 30.Two odd numbers added together make an even numberAn odd number plus and even number makes an odd number.From the five odd numbers:Take two of them and add them together getting an even number and four odd numbersAdd another of the odd numbers to this even number and you will have three odd numbersAdd two of these together and you will have one even and one odd number.Finally add these odd and even numbers together and the result will be an odd numberBut 30 is an even number, so cannot be the sum of five (or any odd number of) odd numbers.
88
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No. Two odd numbers added together always give an even number. Two even numbers added together always give an even number. An odd and an even number added together always give an odd number. So, if we have 5 odd numbers - a, b, c, d and e a + b will be even c + d will be even So if (a + b) + (c + d) is even, adding e to that will have to be an odd number - but 50 is even, so it cannot be done.
There are none. Two odd numbers added together equal a even number.
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Consecutive integers added or subtracted will turn out to be odd numbers. You can't make 8 with consecutive integers.
The sum of two even number is always even. So there are no such numbers.