Prime numbers + addition - practice problems
Number of problems found: 13
- What is 20
What is the least number that should be added to 2497 so that the sum of the digits is divisible by 5, 6, and 10? - Smallest 69294
What number do you get when you add the number 1 to the sum of all prime numbers less than 30 and then divide by the smallest odd prime numbers? - Calculate 67294
Calculate the sum of all divisors of the number 70. - The sum 13
What is the sum of the exponents of the prime factors in the prime factorization of 196? - Decompose 37101
Decompose the number of primes and find its digit sum: 180, 232, 460, 240, 365, - Three-fifths 34771
Calculate three-fifths of the ratio of the product and the sum of all prime divisors of 240. - Different 29943
Vojta added five different prime numbers to the top row of the census pyramid. Their sum was 50. What was the biggest number he could get "down"? - The tickets
The tickets to the show cost some integer number greater than 1. Also, the sum of the price of the children's and adult tickets and their products was the power of the prime number. Find all possible ticket prices. - Remaining 5534
On the table lay eight cards with the numbers 2,3,5,7,11,13,17,19. Fero chose three cards. He added the numbers written on them and found that their sum was 1 more than the sum of the numbers on the remaining cards. Which cards could have been left on the - Z9–I–4 MO 2017
Numbers 1, 2, 3, 4, 5, 6, 7, 8, and 9 were prepared for a train journey with three wagons. They wanted to sit out so that three numbers were seated in each carriage and the largest of the three was equal to the sum of the remaining two. The conductor said - Summands
Find two summands of the number 42 so that its product is minimized. - Divisibility
Determine the smallest integer which divided 11 gives remainder 4. When divided, 15 gives remainder 10 and when divided by 19 gives remainder 16. - Diophantus
We know little about this Greek mathematician from Alexandria, except that he lived around the 3rd century A. D. Thanks to an admirer of his, who described his life through an algebraic riddle, we know at least something about his life. Diophantus's youth
We apologize, but in this category are not a lot of examples.
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