A. B and C are three prime numbers less than 20, a + B + C = 30
2,11,17.
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- 1. There are three prime numbers a, B and C, a + B = 20, B + C = 30, a × B × C =? The results I know: 7, 13, 17, the best equation
- 2. a. If a + B + C = 162 and a * B + A * C + b * C = 6279, then a * b * C +?
- 3. ABC is three prime numbers and the product of ABC is five times of the sum of ABC. How much is the sum of a ^ 2 + B ^ 2 + C ^ 2 abc=5(a+b+c) Because a, B, C are all prime numbers, so one of a, B, C is 5, and because the band formula is rotational symmetry, any change of the order of a, B, C does not affect the result Let a = 5 To 5BC = 25 + 5B + 5C Divide both sides by 5 bc=5+b+c bc-b-c+1=6 (b-1)(c-1)=6=1*6=2*3 If it is decomposed into 2 * 3, then B and C are 3 and 4 respectively So (B-1) (C-1) = 1 * 6 Let B-1 = 1 and C-1 = 6 So B = 2, C = 7 a^2+b^2+c^2=5^2+2^2+7^2=78 Why does ABC have a number of 5
- 4. The sum of the three primes is 38. What is the maximum value of the product of the three primes?
- 5. a. B. C is three prime numbers within 100. How many satisfy a + B = C
- 6. a. If B and C are prime numbers and satisfy a + B + C + ABC = 99, then | 1a − 1b | + | 1b − 1c | + | 1c − 1a|=______ .
- 7. a. B, C are prime numbers, and a + B = 33, B + C = 44, C + D = 66, then CD=______ .
- 8. a. B, C are three different prime numbers, and a B = 33, B C = 34, c d = 66, find a
- 9. a. B.C. are all prime numbers. A plus B equals 33. B plus C equals 34. C plus D equals 66. So what's D
- 10. 0 to the power of 0 is 1 or 0
- 11. Expressed in the form of power: the fifth power of minus 2 / 3 * the fifth power of minus 9 / 2 is equal to?
- 12. What are the positions of the 33rd power of 3 and the 88th power of 8
- 13. Given the nth power of equation a, can you write out all the qualified integers a and n so that the nth power of equation a = 64 holds? Please have a try As above
- 14. Use scientific counting method to express that 0.00005 = 43.78 times 10 to the power of - 2 = - 0.002 times 10 to the power of 3 = 4.5 times 10 to the power of 2 times 10 to the power of 3 = 4
- 15. In the first 100 natural numbers, how many are divisible by 2, 3 or 5
- 16. In the first 100 natural numbers, how many can be divisible by 2 or 3 or 5 In the first 100 natural numbers, how many are divisible by 2, 3 and 5
- 17. In the first 100 natural numbers, how many can be divisible by 2, 5 or 7
- 18. How many natural numbers can be taken from 1 to 2009, so that the sum of any two numbers can not be divided by 14?
- 19. In the first 100 natural numbers, the sum of all numbers divisible by 3 is
- 20. What is the sum of the first 100 positive natural numbers divisible by 3