Large Numbers in Computing and Mathematics
... every 18 months [10]) will continue to hold during the next few centuries, a computer will be able to store a googgolplex of bytes in about 500 years. As illustrated by this example, there is currently no specific use for the googolplex. ...
... every 18 months [10]) will continue to hold during the next few centuries, a computer will be able to store a googgolplex of bytes in about 500 years. As illustrated by this example, there is currently no specific use for the googolplex. ...
Exercises on linear forms in the logarithms of algebraic numbers
... in non-negative integers x, y, z, w, ...
... in non-negative integers x, y, z, w, ...
PRIME FACTORS OF ARITHMETIC PROGRESSIONS AND
... been used to answer a question of V.G. Sprindzhuk ([Spr82] p.240) on the squarefree part S(41 ) of 41 . Sprindzhuk wondered whether there exist a constant c and infinitely many pairs of positive integers (x, k) with k < (log x)c for which S(41 ) < k k . Khodzhaev [Kho] observed that the result of Ra ...
... been used to answer a question of V.G. Sprindzhuk ([Spr82] p.240) on the squarefree part S(41 ) of 41 . Sprindzhuk wondered whether there exist a constant c and infinitely many pairs of positive integers (x, k) with k < (log x)c for which S(41 ) < k k . Khodzhaev [Kho] observed that the result of Ra ...
Factors
... • Multiples are what you get when you multiply a number by another one. • 12 is a multiple of 3. It is also a multiple of 4, of 2 and of 6. • 12.5 is not a multiple of any of those numbers • The opposite of multiples is: ...
... • Multiples are what you get when you multiply a number by another one. • 12 is a multiple of 3. It is also a multiple of 4, of 2 and of 6. • 12.5 is not a multiple of any of those numbers • The opposite of multiples is: ...
Maclaurin 15
... (a) Consider the five pairs (90, 91), (92, 93), (94, 95), (96, 97), and (98, 99); each is a pair of relatively prime integers. Since we are selecting six numbers, we have to choose two from one pair; thus there is a relatively prime pair. (b) If two or more of the six numbers chosen are even, then t ...
... (a) Consider the five pairs (90, 91), (92, 93), (94, 95), (96, 97), and (98, 99); each is a pair of relatively prime integers. Since we are selecting six numbers, we have to choose two from one pair; thus there is a relatively prime pair. (b) If two or more of the six numbers chosen are even, then t ...