The maximum number of five palindromes divisible by 101 Palindromes are positive integers like 36563 2002

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• 1. How to prove whether any number can be divided by 3? Next I'll show you how to learn whether any number can be divided by 3 Example 1: can 456321 divide by 3? No, add up all its numbers and divide by 3. If the division is complete, then it can divide by 3. If the division is incomplete, then it can't divide by 3. 4 + 5 = 9, 9 + 6 = 15, 15 + 3 = 18, 18 + 2 = 20, 20 + 1 = 21. 21 can divide by 3, so 456321 can divide by 3 Example 2: can 86453 divide by 3? No, add up all its numbers and divide by 3. If it can divide completely, then it can divide by 3. If it can't divide completely, then it can't divide by 3. 8 + 6 = 14, 14 + 4 = 18, 18 + 5 = 23, 23 + 3 = 26.26, so 86453 can't divide by 3 I read the above paragraph on the Internet. I want to know how to prove this principle?
• 2. How many palindromes are there in five digits
• 3. Design an algorithm to determine whether 35 is a prime number
• 4. A small experiment is designed to prove the existence of air by using common articles at home
• 5. A small experiment is designed to prove the existence of air by using common articles at home
• 6. How to judge whether a five digit input is palindrome number, such as "12321" Enter a five digit number on the keyboard to determine whether it is a five digit number, such as "12321", which is palindrome number!
• 7. A five digit palindrome number, divided by 45, gets a four digit palindrome number. The original five digit palindrome number is ()
• 8. It is known that a five bit palindrome is equal to 45, and that a five bit palindrome is equal to the product of 45 and a four bit palindrome It is known that a five bit palindrome is equal to the product of 45 and a four bit palindrome (abcda = 45xdeed)
• 9. If a natural number reverses each number, it is still itself. This number is palindrome number, such as 606, 90509. How many palindromic numbers are there from 1 to 1000000? How to find them?
• 10. Find some English palindrome words (left and right symmetry)
• 11. Who can prove that the sum of two primes is even?
• 12. Any even number greater than 2 can be expressed as the sum of two prime numbers. How to prove?
• 13. Polynomial. The difference between a polynomial and - 5Y & # 178; - 13y is - Y & # 178; + 3y-1 2. Given X-Y = 3, xy = 2, find the difference of (3y-2x + 2x + XY) - (- 5x + 6xy + 6y) 3. Given a = 2m & # 178; n-mn & # 178;, A-B = 0, find B
• 14. It is proved that no matter what number m is, the value of square-m of algebraic formula m is always greater than that of algebraic formula m-2
• 15. 1) It is proved that if a divides B × C, and a and B are coprime, then a divides C (ABC is an integer). If the theorem is wrong, give an example and modify it, and prove the modified theorem 2) It is proved that if a and B are positive integers, if a > b, then the square of a > the square of B, and vice versa
• 16. Let's introduce letters. The suitable algebra is: (1) an integer divisible by 3; (2) an integer whose remainder is 2
• 17. Can you show that (n + 7) & sup2; - (N-5) & sup2; is divisible by 24
• 18. For any integer n, the following numbers or expressions can divide the square of the polynomial (n + 5) - where is the square of N It needs to be explained in detail
• 19. Nickname Theory: for any integer n, polynomial (4N * 2 + 5) * 2-9 can always be divided by 8
• 20. From 1 to 100, how many numbers can be divided by 2 or 3?