If the sum of the three primes is 140, then the maximum value of the product of the three primes is 140______ .

If the sum of the three primes is 140, then the maximum value of the product of the three primes is 140______ .


The sum of ∵ three prime numbers is 140, ∵ one of these three numbers must be even, and only 2 is both even and prime. One of the three numbers is 2, and the sum of the other two numbers is 138. To maximize the product, the other two numbers are very close, close to 1382 = 69, ∵ the prime numbers close to 69 are 67 and 71, ∵ the three numbers are 2, 67 and 71



The sum of three prime numbers is 114. Find the maximum of the product of three prime numbers


Because the sum of three prime numbers is 114, which is even,
So one of the three numbers is 2,
So the sum of the other two prime numbers is 112,
Because the smaller the difference between these two primes, the greater their product,
And 112 / 2 = 56, so 56-3 = 53 is prime, 56 + 3 = 59 is prime,
So the maximum of the product of three prime numbers is 2 × 53 × 59 = 6254



The x power of 25 is 625


The x power of 25 is 625
25^x=25^2
x=2



The 25th power of 0.125 times the 75th power of 2 is equal to?


(0.125)^25 * 2^75
=(1/8)^25 * 2^(25*3)
=(1/8)^25 * (2^3)^25
= (1/8 * 2^3)^25
= 1^25
= 1



The scale of a design drawing is 20:1, which means () is 20 times of (). In this drawing, the length of 18 cm represents the actual length of () cm


The scale of a design drawing is 20:1, which means that (the distance on the drawing) is 20 times of (the actual distance). In this drawing, the length of 18 cm represents the actual length of (0.9) cm



Symmetry, () and () can be used to design beautiful patterns


Translation, rotation



Let a = {XLX is a positive integer less than 9}, B = {1,2,3}, C = {3,4,5,6}, a intersection (B and C)
I see that you have answered this question, but it is different from me
I believe you are very simple for you, I am a beginner


1,2,3,4,5,6



When a = - 1, what is the formula - 5A ^ n-a ^ n + 8A ^ n-3a ^ n-a ^ (n + 1) (n is a positive integer) equal to


-5a^n-a^n+8a^n-3a^n-a^(n+1)
=-a^n-a^(n+1)
=-a^n*(a+1)
When a = - 1, a + 1 = 0
-5a^n-a^n+8a^n-3a^n-a^(n+1)=0



When a = 1, the formula - 5A ^ n-a ^ n + 8A ^ n-3a ^ n-a ^ n + 1 (n is a positive integer) is equal to?


-5-1+8-3-1+1=1



Find the solution of the positive integer of the equation 2 (X-8) + 5A = 1 (a is a positive integer) about X


2x-16+5a=1
2x=17-5a
x=(17-5a)/2
x>0
Then (17-5a) / 2 > 0
5a