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Q: Sum of all primes less than 100?

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The sum of the 25 primes less than 100 is even (it is 1060).The first prime number is 2. Every other prime number is odd.So, of the 25 primes less than 100, one is even and 24 are odd.Any two odd numbers sum to an even number. Therefore, an even number of odd numbers has an even sum. So the sum of 24 odd numbers is even.Therefore, the sum of the 25 primes less than 100 is even.

2 + 3 = 5

472.

All prime numbers greater than 2 are odd numbers. For an odd prime to be written as the sum of two primes, one of the primes must be 2 because two odd primes will produce an even sum. 11 cannot be written as the sum of two primes. 13 = 2 + 11. 17 cannot be written as the sum of two primes. 19 = 2 + 17.

41

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The prime numbers less than 100 are :- 2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89 and 97. The sum of these primes is 1060.

The sum of the 25 primes less than 100 is even (it is 1060).The first prime number is 2. Every other prime number is odd.So, of the 25 primes less than 100, one is even and 24 are odd.Any two odd numbers sum to an even number. Therefore, an even number of odd numbers has an even sum. So the sum of 24 odd numbers is even.Therefore, the sum of the 25 primes less than 100 is even.

59 and 53 are the two largest primes less than 60. 59+53 = 112

Sum of all such integers less than 100 would be 416 .

2 + 3 = 5

Their sum is 1200.

The sum of all the digits of all the positive integers that are less than 100 is 4,950.

472.

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

There are not three odd primes with the sum of 14. The sum of three odd primes will be an odd number.

5, 7, 13, 17 and 19 can be so written.

54

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