 | Peter Barlow - 1811 - 536 páginas
...after that, neither by p' nor by any factor of//, then will p' be a complete nth power, PROP. XVII. 17. The product arising from two different prime numbers cannot be a square number. For let p and q represent any two prime numbers, that are not equal to each other, and, if possible,... | |
 | Olinthus Gregory - 1825 - 438 páginas
...multiplied or divided by a number that is not a square, the product or quotient is not a square. 14. The product arising from two different prime numbers cannot be a square number. 15. The product of no two different numbers prime to each other can make a square, unless each of those... | |
 | 1826 - 490 páginas
...multiplied or divided by a number that is not a square, the product or quotient is not a square. 14. The product arising from two different prime numbers cannot be a square number. 15. The product of no two different numbers prime to each other can make a square, unless each of those... | |
 | 1826 - 478 páginas
...multiplied or divided by a number that is not a square, the product or quotient is not a square. 14. The product arising from two different prime numbers cannot be a square number. 15. The product of no two dînèrent numbers prime to each other can make a square, unless each of... | |
 | Perry Fairfax Nursey - 1826 - 476 páginas
...multiplied or divided by a number that is not a square, the product or quotient is not a square. 14. The product arising from two different prime numbers cannot be a square number. 15. The product of no two difieren t numbers prime to each other can make a square, unless each of... | |
 | Jacques Ozanam - 1840 - 850 páginas
...when increased or diminished by unity is divisible by 6, is not, on that account, necessarily a prime number. As it is often of utility to be able to know,...10,000. Table of the Prime Numbers from 1 to 10,000. 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 127 131 139 149 1S1 167 71 73 79 83 89 97 101 103... | |
 | Charles Waterhouse - 1842 - 178 páginas
...395= " X2 X5 154 79=" XI 75= Rem. 6. A prime number is that which can only be measured by unity. 5. The product arising from two different prime numbers cannot be a square. 7. The product of no two different numbers, prime to each other, can make a square, unless each of... | |
 | Charles WATERHOUSE - 1844 - 228 páginas
...measure Out half of it. 4. Two quantities respectively equal to a third, care equal to each otter. -5. The product arising from two different prime numbers, cannot be a square. 6. The product of any two different numbers prime to each otter, cannot make a square, unless each... | |
 | Frederick Overman - 1851 - 452 páginas
...either multiplied or divided by a number that is not a square, the product or quotient is not a square. The product arising from two different prime numbers cannot be a square number. The square root of an integer number, that is not a complete square, can neither be expressed by>an... | |
 | Frederick Emerson - 1851 - 342 páginas
...multiplied or divided by a number that is not a square, the product or quotient is not a square. Prop. 14. The product arising from two different prime numbers cannot be a square. Prop. 13. The difference between an integral cube and its root, is always divisible by 6. Prop. 16.... | |
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... if a square number be either multiplied or divided by a number that is not a square, the product or quotient is not a square. 
