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  2. While loop - Wikipedia

    en.wikipedia.org/wiki/While_loop

    For example, in the languages C, Java, C#, [2] Objective-C, and C++, (which use the same syntax in this case), the code fragment int x = 0 ; while ( x < 5 ) { printf ( "x = %d \n " , x ); x ++ ; } first checks whether x is less than 5, which it is, so then the {loop body} is entered, where the printf function is run and x is incremented by 1.

  3. Control flow - Wikipedia

    en.wikipedia.org/wiki/Control_flow

    If xxx1 is omitted, we get a loop with the test at the top (a traditional while loop). If xxx2 is omitted, we get a loop with the test at the bottom, equivalent to a do while loop in many languages. If while is omitted, we get an infinite loop. The construction here can be thought of as a do loop with the while check in the middle. Hence this ...

  4. Duff's device - Wikipedia

    en.wikipedia.org/wiki/Duff's_device

    In the C programming language, Duff's device is a way of manually implementing loop unrolling by interleaving two syntactic constructs of C: the do-while loop and a switch statement. Its discovery is credited to Tom Duff in November 1983, when Duff was working for Lucasfilm and used it to speed up a real-time animation program.

  5. Do while loop - Wikipedia

    en.wikipedia.org/wiki/Do_while_loop

    For example, a break statement would allow termination of an infinite loop. Some languages may use a different naming convention for this type of loop. For example, the Pascal and Lua languages have a "repeat until" loop, which continues to run until the control expression is true and then terminates. In contrast a "while" loop runs while the ...

  6. Pollard's p − 1 algorithm - Wikipedia

    en.wikipedia.org/wiki/Pollard%27s_p_%E2%88%92_1...

    Assume that p − 1, where p is the smallest prime factor of n, can be modelled as a random number of size less than √ n. By Dixon's theorem, the probability that the largest factor of such a number is less than (p − 1) 1/ε is roughly ε −ε; so there is a probability of about 3 −3 = 1/27 that a B value of n 1/6 will yield a factorisation.

  7. Conditional loop - Wikipedia

    en.wikipedia.org/wiki/Conditional_loop

    However, infinite loops can sometimes be used purposely, often with an exit from the loop built into the loop implementation for every computer language, but many share the same basic structure and/or concept. The While loop and the For loop are the two most common types of conditional loops in most programming languages.

  8. List of prime numbers - Wikipedia

    en.wikipedia.org/wiki/List_of_prime_numbers

    This is a list of articles about prime numbers. A prime number (or prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself. By Euclid's theorem, there are an infinite number of prime numbers. Subsets of the prime numbers may be generated with various formulas for primes.

  9. Generation of primes - Wikipedia

    en.wikipedia.org/wiki/Generation_of_primes

    A prime sieve or prime number sieve is a fast type of algorithm for finding primes. There are many prime sieves. The simple sieve of Eratosthenes (250s BCE), the sieve of Sundaram (1934), the still faster but more complicated sieve of Atkin [1] (2003), sieve of Pritchard (1979), and various wheel sieves [2] are most common.