Sieve of Eratosthenes: algorithm steps for primes below 121 ( including optimization of starting from prime's square ).

simple: Sieve of Eratosthenes

For this method, it is also necessary to check for divisibility by all primes that are less than c. Observations analogous to the preceding can be applied recursively, giving the Sieve of Eratosthenes.

( Such a list can be computed with the Sieve of Eratosthenes ).

In number theory, a lucky number is a natural number in a set which is generated by a " sieve " similar to the Sieve of Eratosthenes that generates the primes.

* Sieve of Eratosthenes

* Sieve of Eratosthenes

* c. 200 BC-the Sieve of Eratosthenes

or were implementations of the Sieve of Eratosthenes, according to a 1974 interview in which Kemeny and McGeachie took part.

These pairs are found through a sieving process, analogous to the Sieve of Eratosthenes ; this motivates the name " Number Field Sieve ".

The following is example code for Sieve of Eratosthenes written in Action !.

# REDIRECT Sieve of Eratosthenes

# REDIRECT Sieve of Eratosthenes

By solving the riddle ( calculating all the prime numbers below 100 using the Sieve of Eratosthenes and pressing the corresponding buttons backwards ), Roland and his ka-tet are allowed to board Blaine and flee Lud, just as Blaine releases poison gas ( DEP3, a substance similar to what appears as a poison in another of King's books, Eyes of the Dragon.

It applies the concept of the Sieve of Eratosthenes to find upper or lower bounds on the number of primes within a given set of integers.

His mathematical studies have been related to the expansion of the table of prime numbers, using a variant of the Sieve of Eratosthenes that he called Neocribrum.

* The Murderous Maths of Everything, ISBN 1-407-10367-9 ( prime numbers, Sieve of Eratosthenes, Pythagoras ' Theorem, triangle numbers, square numbers, the International Date Line, geometry, geometric constructions, topology, Mobius strips, curves ( conic sections and cycloids Golomb Rulers, 4 dimensional " Tic Tac Toe ", The Golden Ratio, Fibonacci sequence, Logarithmic spirals, musical ratios, Theorems ( including Ham sandwich theorem and Fixed point theorem ), probability ( cards, dice etc.

The benchmark consists of 22 separate tests, including public domain components ( such as Sieve and Dhrystone ) as well as proprietary components.

Jan's son, Quentin Metsys the Younger, was an artist of the Tudor court, and painted the Sieve Portrait of Elizabeth I of England.

Known for writing about culture clash between Indian urban and rural societies, Markandaya's first published novel, Nectar in a Sieve, was a bestseller and cited as a American Library Association Notable Book in 1955.

" Nectar in a Sieve " was her first published work, and its depiction of rural India and the suffering of farmers made it popular in the West.

While not entirely rigorous, his proof that Morrison and Brillhart's continued fraction factoring algorithm ran in roughly steps was an important milestone in factoring and laid a foundation for much later work, including the current " champion " factoring algorithm, the Number Field Sieve.

* see the " Plimpton ' Sieve ' Portrait of Queen Elizabeth I " from the Folger Shakespeare Library collection on Wikimedia Commons.

The ManageSieve protocol ( defined in RFC 5804 ) allows users to manage their Sieve scripts on a remote server.

" The Feminist Approach in Kamala Markandaya's Novels with Special Reference to Nectar in a Sieve ", Synthesis: Indian Journal of English Literature and Language, vol. 1, no. 1.

It has many tributaries: Sieve (), Bisenzio (), Era, Elsa, Pesa and Pescia.

Sieve tubes are joined end-to-end with perforate end-plates between known as sieve plates, which allow transport of photosynthate between the sieve elements.

* H. Halberstam and H. E. Richert, Sieve methods, Academic Press ( 1974 ) ISBN 0-12-318250-6.

* Brun's Pure Sieve: http :// planetmath. org / encyclopedia / BrunsPureSieve. html

Sieve elements are the group of cells that are responsible for actually moving sugar-laden fluids through the plant.

Sieve tube cells do contain vacuoles and other organelles, such as ribosomes, before they mature, but these generally migrate to the cell wall and dissolve at maturity ; this ensures there is little to impede the movement of fluids.

Sieve cells are the more primitive of the two main conducting cell types in phloem, and are found in most seedless vascular plants ( e. g., ferns, club mosses, horsetails ) and gymnosperms ( conifers, Ginkgo, etc .).

Sieve cells have relatively narrow, uniformly-sized pores in the sieve areas.

Sieve tubes are formed from sieve-tube members laid end to end.

* Factorization using the Elliptic Curve Method, a Java applet which uses ECM and switches to the Self-Initializing Quadratic Sieve when it is faster.

" The Xenakis Sieve as Object: A New Model and a Complete Implementation.

File: Metsys Elizabeth I The Sieve Portrait c1583. jpg | Sieve Portrait of Queen Elizabeth I ( 1583 ) by Quentin Metsys the Younger

** The Riesel Sieve project is searching for the smallest Riesel number.

Sieve element plastids of Gymnospermae: Their ultra structure and relation to systematics.

Early in Classical Greece, that the earth is a sphere (" round "), was generally known by all, and around 240 BCE, Eratosthenes ( 276 BCE – 194 BCE ) accurately estimated its circumference.

It also attracted scholars from all over the Mediterranean such as Eratosthenes of Cyrene.

In mathematics, the sieve of Eratosthenes (), one of a number of prime number sieves, is a simple, ancient algorithm for finding all prime numbers up to any given limit.

Posidonius was celebrated as a polymath throughout the Graeco-Roman world because he came near to mastering all the knowledge of his time, similar to Aristotle and Eratosthenes.

On the divisions and boundaries of Europe, Asia and Africa, he repeats Eratosthenes ; like all classical geographers from Alexander the Great ( except Ptolemy ) he regards the Caspian Sea as an inlet of the Northern Ocean, corresponding to the Persian and Arabian ( Red Sea ) gulfs on the south.

Pappus then enumerates works of Euclid, Apollonius, Aristaeus and Eratosthenes, thirty-three books in all, the substance of which he intends to give, with the lemmas necessary for their elucidation.

For each prime, all the numbers to be tested for smoothness in the range under consideration which are divisible by that prime have their counter incremented by the logarithm of the prime ( similar to the sieve of Eratosthenes ).