2, 2, 13
3, 3, 11
3, 7, 7
5, 5, 7
Can't be done with 3 different primes, there's no way to make 17 from 2, 3, 5, 7, 11 & 13.
Another Answer:-
19-13+11 = 17
The first four primes have this property: 17 = 2 + 3 + 5 + 7 (all primes). So does 23 (2+3+7+11)
The prime numbers 3 an 7 are both odd and sum to 10.
To express 92 as the sum of two odd primes, we can try various combinations of odd primes. One such combination is 89 and 3, since both 89 and 3 are prime numbers and their sum equals 92. Another combination is 83 and 9, but 9 is not a prime. Thus, 92 can be expressed as the sum of the odd primes 89 and 3.
Sure. All composite numbers can be written as a product of primes. It shouldn't be tough to find a composite number that's the sum of three other composite numbers. Let's try 30. 2 x 3 x 5 = 30 Product of primes, check. 6 (2 x 3) + 10 (2 x 5) + 14 (2 x 7) = 30 Sum of three products of primes, check.
Prime numbers that differ from each other by exactly 2 are twin primes. Examples of twin primes are 3 and 5, 17 and 19, 599 and 601.
The first four primes have this property: 17 = 2 + 3 + 5 + 7 (all primes). So does 23 (2+3+7+11)
It is: 2+3+5+7 = 17
Not true. 2 + 3 = 5, where all three are primes. One of the primes in the sum must be 2, otherwise both primes would be odd and their sum would be even (and >2) and therefore not prime. Such primes: p and p+2 [3 and 5 in the above example] are known as twin primes and there are infiitely many twin primes.
The prime numbers 3 an 7 are both odd and sum to 10.
43 + 7 = 50 17 + 19 = 36 41 + 3 = 44
34 = 17+17 34 = 23 + 11 34 = 29 + 5 34 = 31 + 3
Sure. All composite numbers can be written as a product of primes. It shouldn't be tough to find a composite number that's the sum of three other composite numbers. Let's try 30. 2 x 3 x 5 = 30 Product of primes, check. 6 (2 x 3) + 10 (2 x 5) + 14 (2 x 7) = 30 Sum of three products of primes, check.
3 prime numbers which have the sum of 132: 2 + 3 + 127 2 + 17 + 113
Prime numbers that differ from each other by exactly 2 are twin primes. Examples of twin primes are 3 and 5, 17 and 19, 599 and 601.
100 can be expressed as the sum of two primes in 6 different ways (ignoring order): 100 = 3+97 = 11+89 = 17+83 = 29+71 = 41+59 = 47+53
43
7+10=17 so the sum is 17. 10-7=3 so the difference is 3. Therefore, the two numbers are 10 and 7.