A Treatise on Algebra: By Charles SmithMacmillan and Company, 1888 - 571 σελίδες |
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Σελίδα xvi
... prime contained in n Fermat's Theorem [ see also p . 488 ] . The product of any n consecutive integers is divisible by n Number of divisors of a given number PAGE 474 475-477 478 478 480 • 481 482 . 484 " 485 487 488 491 492 Number of ...
... prime contained in n Fermat's Theorem [ see also p . 488 ] . The product of any n consecutive integers is divisible by n Number of divisors of a given number PAGE 474 475-477 478 478 480 • 481 482 . 484 " 485 487 488 491 492 Number of ...
Σελίδα 474
... prime number , or a prime . A number which admits of other divisors besides itself and unity is called a composite number . Two numbers which cannot both be divided by any number , except unity , are said to be prime to one another ...
... prime number , or a prime . A number which admits of other divisors besides itself and unity is called a composite number . Two numbers which cannot both be divided by any number , except unity , are said to be prime to one another ...
Σελίδα 475
... prime less than 11 . 370. Theorem . The number of primes is infinite . For , if the number of primes be not infinite , there must be one particular prime which is greater than all others . Let then p be the greatest of all the prime num ...
... prime less than 11 . 370. Theorem . The number of primes is infinite . For , if the number of primes be not infinite , there must be one particular prime which is greater than all others . Let then p be the greatest of all the prime num ...
Σελίδα 477
... prime to each of α , ß , y , it will be prime to the product aßy .... IV . If a be prime to b , a " will be prime to b " . V. If a number be divisible by several primes separately it will be divisible by the product of them all . 373 ...
... prime to each of α , ß , y , it will be prime to the product aßy .... IV . If a be prime to b , a " will be prime to b " . V. If a number be divisible by several primes separately it will be divisible by the product of them all . 373 ...
Σελίδα 478
By Charles Smith Charles Smith. 374. To find the highest power of a prime number contained in n . x \ Ꮳ Let I denote the integral part of ; and let a be y any prime number . Then the factors in n which will be divisible by a are a , 2a ...
By Charles Smith Charles Smith. 374. To find the highest power of a prime number contained in n . x \ Ꮳ Let I denote the integral part of ; and let a be y any prime number . Then the factors in n which will be divisible by a are a , 2a ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
a+b+c a₁ arithmetic mean arithmetical progression ax² b₁ binomial Binomial Theorem C₁ Cambridge coefficient contain continued fraction Crown 8vo denominator determinant digits divergent divide divisible divisor Edition equal equation ax example expansion Extra fcap Fcap Find the number Find the sum follows geometrical progression given expression Globe 8vo greater Hence the required infinity letters logarithm MACMILLAN'S Multiply negative nth convergent nth root nth term number of terms obtained P₁ periodic continued fraction positive integer powers prime number Professor prove quadratic equation quadratic surd quotient ratio remainder School Shew Solve the equation square root subtract suppose Theorem Trinity College u₁ unknown quantities white ball whole number zero
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