(3 ^ n + 81) is a complete square number. How many positive integers are there?

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• 1. A positive integer a is exactly equal to the square of another number B, then a is called a complete square number. For example, 36 = 6, 36 is a complete square number If M = (2008 times 2009) + (3 times 2010) - 3, we prove that M is a complete square ...
• 2. a. B is a positive integer no more than 20. If B of a is equal to 1 of 18, find the numbers represented by a and B
• 3. 1512 times a positive integer a to get a square, then what is the minimum value of a Jijij, detailed process
• 4. It is known that positive integers a and B satisfy that the square of a minus the square of B is equal to 15 And the square of 20092009 minus 20092008 times 20092010 A. B two kinds of commodity price is a yuan, due to market reasons, a commodity price first increase M%, and then increase the price - N% for sale, sold 100 pieces; B commodity price first decrease M%, and then reduce the price - N% for sale, also sold 100 pieces (where M, n are positive integers). If their purchase price each piece is B yuan, which one of the two kinds of commodity sales a, B profit?
• 5. For the formula - 1.2x times the fourth power of 10, the second power of X, y, the following statement is correct: 1 is not a monomial formula, 2 is a monomial formula, the coefficient is - 1.2 * 410, and the degree is 7 3 is the fourth power of the monomial coefficient of - 1.2 * 10. No reason is given above 4
• 6. The second power of 2n + 1 power y of the monomial - 3 π A is the same as the third power of the sixth power ay of the monomial - 10 / 7
• 7. Write a binomial with a coefficient of - 1 and only x and y
• 8. If the coefficient is - 1 / 2 and only contains the letters X and y, the cubic monomials are____ Two, they are_____ ?
• 9. Write a quartic monomial with a coefficient of - 3 and the letters X and y______ (just write one)
• 10. At the same time, they all contain the letters a, B, C, and the coefficient is 1 A. Four B. five C. six D. seven
• 11. There are several positive integers n that make 3 ^ n + 81 a complete square number
• 12. For any positive integer n, what is the greatest common divisor of all numbers in the form of "the third power of N + 3 times of n square + 2 times of n"
• 13. The 17th power of 2 + the 12th power of 17 * 2 + the nth power of 2 is a complete square number. Find all positive integer values of n
• 14. For any positive integer n, what is the greatest common divisor of all numbers in the form of "the 3rd power of N + 3 times of n square + 2 times of n"
• 15. The so-called "narcissus number" refers to a three digit number whose cubic sum of each digit is equal to the number itself Program analysis: use for loop to control 100-999 numbers, and each number is decomposed into 10 bits, Number of daffodils in 100 places: 153 = 13 + 53 + 33
• 16. C language programming input a three digit positive integer to judge whether it is "narcissus number". The so-called Narcissus is a three digit number whose sub cube sum is equal to itself
• 17. Programming output within 1000 of all the narcissus number, the so-called narcissus number refers to a 3-digit number, the cube sum of its digits is equal to itself
• 18. Print out all the "Narcissus numbers". The so-called "narcissus number" refers to a 3-digit number whose cube sum of each digit is equal to the number itself. For example, 153 is a number
• 19. 1. Output all the Narcissus numbers. The so-called narcissus number refers to a 3-digit number whose cubic sum of each digit is equal to the number itself. For example, 153 = 1 * 1 * 1 + 5 * 5 * 5 + 3*
• 20. "Narcissus number" refers to a three digit number whose cubic sum is exactly equal to the number itself, such as: 153 = 1 ^ 3 + 3 ^ 3 + 5 ^ 3. Please design an algorithm to find a "narcissus number" within 100