Generalizations of Carmichael numbers I
... [48] showed that every Lehmer number n must be odd and square-free, and that the number of distinct prime factors of n must be greater than 6. However, no Lehmer numbers are known up to date, and computations by Pinch [61] show that any examples must be greater than 1030 . In 1977 Pomerance [64] sho ...
... [48] showed that every Lehmer number n must be odd and square-free, and that the number of distinct prime factors of n must be greater than 6. However, no Lehmer numbers are known up to date, and computations by Pinch [61] show that any examples must be greater than 1030 . In 1977 Pomerance [64] sho ...
31(1)
... first and last bits considered to be adjacent (i.e., the first bit follows the last bit). This condition is visible when the string is displayed in a circle with one bit "capped": the capped bit is the first bit and reading clockwise we see the second bit, the third bit, and so on to the nth bit (th ...
... first and last bits considered to be adjacent (i.e., the first bit follows the last bit). This condition is visible when the string is displayed in a circle with one bit "capped": the capped bit is the first bit and reading clockwise we see the second bit, the third bit, and so on to the nth bit (th ...
Slide 1
... To multiply is to do repeated addition of equal groups. A decimal number represents a whole number and a part of a whole number separated by a decimal point. To multiply decimal numbers: • Decimal numbers do not need to be lined up by place value. • The number of decimal places in the product is equ ...
... To multiply is to do repeated addition of equal groups. A decimal number represents a whole number and a part of a whole number separated by a decimal point. To multiply decimal numbers: • Decimal numbers do not need to be lined up by place value. • The number of decimal places in the product is equ ...
Integers without large prime factors in short intervals: Conditional
... Dr A Mukhopadhyay for many useful discussions. He also wishes to thank Indian Statistical Institute, Banglore and Calcutta centres and the Institute of Mathematical Sciences, Chennai where parts of the work for his thesis were carried out. The second-named author thanks Prof. R Balasubramanian and D ...
... Dr A Mukhopadhyay for many useful discussions. He also wishes to thank Indian Statistical Institute, Banglore and Calcutta centres and the Institute of Mathematical Sciences, Chennai where parts of the work for his thesis were carried out. The second-named author thanks Prof. R Balasubramanian and D ...
Gödel`s Theorems
... It is tempting to say more. For what will the axioms of basic arithmetic look like? Here’s a candidate: ‘For every natural number, there’s a unique next one’. And this claim looks very like a definitional triviality. You might say: it is just part of what we mean by talk of the natural numbers that ...
... It is tempting to say more. For what will the axioms of basic arithmetic look like? Here’s a candidate: ‘For every natural number, there’s a unique next one’. And this claim looks very like a definitional triviality. You might say: it is just part of what we mean by talk of the natural numbers that ...
Limits and Infinite Series Lecture Notes for Math 226 by´Arpád Bényi
... Math 226 is a first introduction to formal arguments in mathematical analysis that is centered around the concept of limit. You have already encountered this concept in your calculus classes, but now you will see it treated from an abstract (and more rigorous) point of view. A main goal of this cours ...
... Math 226 is a first introduction to formal arguments in mathematical analysis that is centered around the concept of limit. You have already encountered this concept in your calculus classes, but now you will see it treated from an abstract (and more rigorous) point of view. A main goal of this cours ...