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Bibliographic Details
Main Author:	Gerardo Miramontes de León
Format:	Artículo científico
Language:	es
Published:	Instituto Tecnológico de Costa Rica 2025
Subjects:	Matemáticas Números primos primos de Mersenne exponentes de Mersenne
Online Access:	https://www.redalyc.org/articulo.oa?id=607976802004 https://www.redalyc.org/journal/6079/607976802004/ https://www.redalyc.org/journal/6079/607976802004/html/ https://www.redalyc.org/journal/6079/607976802004/607976802004.epub https://www.redalyc.org/journal/6079/607976802004/movil https://doi.org/10.18845/meij.v25i1.7234
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Acerca de algunos exponentes de Mersenne Gerardo Miramontes de León Matemáticas Números primos primos de Mersenne exponentes de Mersenne Los números primos de Mersenne crecen de manera vertiginosa y se vuelven intratables con las herramientas de cómputo actuales. En este trabajo se repasan brevemente las cadenas de Mersenne para mostrar cómo ese crecimiento exponencial impone un límite en su cálculo. Posteriormente, se propone el siguiente enfoque: “Dado un número primo q cualesquiera es posible encontrar su exponente de Mersenne asociado, siempre y cuando se cumpla que org.siir.client.entities.InlineFormula@13d911e es exactamente entero, donde org.siir.client.entities.InlineFormula@dcc4af es el logaritmo base 2”. Además, se propone una forma de aligerar, hasta cierto punto, la carga computacional al calcular org.siir.client.entities.InlineFormula@1ef7684 de cantidades gigantescas. Para ello se propone un escalamiento a q+1, ya que sin él la capacidad numérica de las máquinas de cómputo no pueden diferenciar un número de otro que tenga algún valor decimal extremadamente pequeño. Este sencillo enfoque, que podría sorprender por su simplicidad, representa una alternativa para verificar si un primo q es un primo de Mersenne. 2025 artículo científico 1659-0643 https://www.redalyc.org/articulo.oa?id=607976802004 https://www.redalyc.org/journal/6079/607976802004/ https://www.redalyc.org/journal/6079/607976802004/html/ https://www.redalyc.org/journal/6079/607976802004/607976802004.epub https://www.redalyc.org/journal/6079/607976802004/movil https://doi.org/10.18845/meij.v25i1.7234 es http://www.redalyc.org/revista.oa?id=6079 Revista Digital: Matemática, Educación e Internet application/pdf Instituto Tecnológico de Costa Rica Revista Digital: Matemática, Educación e Internet (Costa Rica) Num.1 Vol.25

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// Anecdotal testing Today and Yesterday seems to indicate destroy() // is called by the garbage collector and everything is good. // Something to keep in mind though. return 0; } /** * Write function that is called when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ public function write($sessId, $data): bool { if ($this->writesDisabled) { return true; } return $this->saveSession($sessId, $data); } /** * A function that is called internally when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ abstract protected function saveSession($sessId, $data): bool; }

* * @return void */ public function writeClose() { // The assumption is that we're using PHP's ext/session. // session_write_close() will actually overwrite $_SESSION with an // empty array on completion -- which leads to a mismatch between what // is in the storage object and $_SESSION. To get around this, we // temporarily reset $_SESSION to an array, and then re-link it to // the storage object. // // Additionally, while you _can_ write to $_SESSION following a // session_write_close() operation, no changes made to it will be // flushed to the session handler. As such, we now mark the storage // object isImmutable. $storage = $this->getStorage(); if (! $storage->isImmutable()) { $_SESSION = $storage->toArray(true); session_write_close(); $storage->fromArray($_SESSION); $storage->markImmutable(); } } /** * Attempt to set the session name * * If the session has already been started, or if the name provided fails * validation, an exception will be raised. * * @param string $name * @return SessionManager * @throws Exception\InvalidArgumentException */ public function setName($name) { if ($this->sessionExists()) { throw new Exception\InvalidArgumentException( 'Cannot set session name after a session has already started'

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