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    es la suma de dos números primos menores que 10 y es múltiplo de 3 además la suma de sus cifras es 3 qué número es

    Santiago

    Chicos, ¿alguien sabe la respuesta?

    obtenga es la suma de dos números primos menores que 10 y es múltiplo de 3 además la suma de sus cifras es 3 qué número es de este sitio.

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    Secundaria. Tercer grado.

    Secundaria. Tercer grado. Matemáticas Vol. I

    Lección anterior Página anterior Página 21 Siguiente página Siguiente lección 21 3.

    En grupo y con ayuda de su maestro, comparen sus resultados y analicen los proce-

    dimientos que utilizaron. Corrijan los errores.

    4.

    En pareja, resuelvan los siguientes acertijos numéricos.

    a)

    Es la suma de dos números primos

    menores que 10 y es múltiplo de 3;

    además, la suma de sus cifras es 3.

    ¿Qué número es? b)

    Es el producto de dos números pri-

    mos menores que 10 y tiene cuatro

    divisores; la suma de sus cifras es ma-

    yor que 6. ¿Qué número es?

    c)

    Es un número primo mayor que 170

    y menor que 180; la cifra de las uni-

    dades también es un número primo.

    ¿Qué número es? d)

    Es un número primo mayor que 500 y

    menor que 510; la cifra de las unida-

    des es un número compuesto. ¿Qué

    número es? Enunciado Verdadero / Falso Ejemplo a)

    La suma de dos números primos siem-

    pre es un número primo.

    b) El producto de dos números primos

    siempre es un número compuesto.

    c)

    El sucesor de un número primo siempre

    es un número compuesto.

    d)

    Cualquier número compuesto se puede

    expresar como un producto de números

    primos. 6.

    Observen el recurso audiovisual

    Múltiplos, divisores, nú-

    meros primos y compuestos

    para analizar otros ejemplos

    y características de estos números.

    7.

    Utilicen el recurso informático

    Algunos múltiplos, todos

    los divisores

    para continuar con el estudio de los múlti-

    plos y divisores de los números naturales.

    5. Indiquen con una ü si el enunciado es verdadero o con un û si es falso, en cuyo caso

    deberán anotar un ejemplo

    . Dato interesante Dos números primos son gemelos si su diferencia es 2. Ejemplos de números primos gemelos son

    17 y 19, 29 y 31, así

    como 1 000 000 061 y

    1 000 000 063. Lección anterior Página anterior Página 21 Siguiente página Siguiente lección

    ¡Paco te ayuda con tu tarea!

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    fuente : pacoelchato.com

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    fuente : brainly.lat

    Número primo

    Número primo

    Ir a la navegación Ir a la búsqueda

    Este artículo trata sobre primos en los números enteros. Para la generalización a anillos, véanse elemento primo y elemento irreducible.

    Números naturales de cero a cien. Los números primos están marcados en rojo.

    La distribución de los números primos (trazos azules) hasta el 400

    En matemáticas, un número primo es un número natural mayor que 1 que tiene únicamente dos divisores positivos distintos: él mismo y el 1.1​2​ Por el contrario, los números compuestos son los números naturales que tienen algún divisor natural aparte de sí mismos y del 1, y, por lo tanto, pueden factorizarse. El número 1, por convenio, no se considera ni primo ni compuesto.

    Los 168 números primos menores que 1000 son:

    2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397, 401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499, 503, 509, 521, 523, 541, 547, 557, 563, 569, 571, 577, 587, 593, 599, 601, 607, 613, 617, 619, 631, 641, 643, 647, 653, 659, 661, 673, 677, 683, 691, 701, 709, 719, 727, 733, 739, 743, 751, 757, 761, 769, 773, 787, 797, 809, 811, 821, 823, 827, 829, 839, 853, 857, 859, 863, 877, 881, 883, 887, 907, 911, 919, 929, 937, 941, 947, 953, 967, 971, 977, 983, 991 y 997 (sucesión A000040 en OEIS).

    El primer número primo a partir del número mil es el 1009, después de diez mil es el 10 007, a partir de cien mil es el 100 003 e inmediatamente tras un millón es el 1 000 003.

    La propiedad de ser número primo se denomina primalidad.

    En la teoría algebraica de números, a los números primos se les conoce como números para distinguirlos de los números gaussianos primos.3​ La primalidad no depende del sistema de numeración, pero sí del anillo donde se estudia la primalidad. Dos es primo racional; sin embargo tiene factores como entero gaussiano: 2 = (1+i)*(1-i).

    El estudio de los números primos es una parte importante de la teoría de números, rama de las matemáticas que trata las propiedades, básicamente aritméticas,4​ de los números enteros.

    Los números primos están presentes en algunas conjeturas centenarias tales como la hipótesis de Riemann y la conjetura de Goldbach, resuelta por Harald Helfgott en su forma débil.

    La distribución de los números primos es un asunto reiterativo de investigación en la teoría de números: si se consideran números aisladamente, los primos parecieran estar distribuidos de modo probabilístico, pero la distribución «global» de los números primos se ajusta a leyes bien definidas.

    Índice

    1 Historia

    1.1 El Oriente prehelénico

    1.2 Antigua Grecia

    1.3 Desde la época del Renacimiento

    2 El número 1 no se considera primo

    3 Propiedades de los números primos

    3.1 Teorema fundamental de la aritmética

    3.2 Otras propiedades

    3.3 Números primos y funciones aritméticas

    4 Características del conjunto de los números primos

    4.1 Infinitud de los números primos

    4.1.1 Otros enunciados que implican la infinitud de los números primos

    4.2 Frecuencia de los números primos

    4.3 Diferencia entre dos primos consecutivos

    4.4 Conclusión

    5 Encontrar números primos

    5.1 Tests de primalidad

    5.2 Algoritmos de factorización

    5.3 Fórmulas que solo generasen números primos

    6 Clases de números primos

    6.1 Primos primoriales y primos factoriales

    6.2 Números primos de Fermat

    6.3 Números primos de Mersenne

    6.4 Otras clases de números primos

    6.5 Cuadro resumen 7 Conjeturas

    7.1 Hipótesis de Riemann

    7.2 Otras conjeturas

    7.2.1 Infinitud de ciertos tipos de números primos

    7.2.2 Distribución de los números primos

    7.2.3 Teoría aditiva de números

    7.3 Los cuatro problemas de Landau

    8 Generalización del concepto de número primo

    8.1 Elementos primos en un anillo

    8.2 Ideales primos

    8.3 Primos en teoría de la valoración

    8.4 Nudos primos

    9 Aplicaciones en la matemática

    10 Aplicaciones en la computación

    11 Números primos en el arte y la literatura

    12 Véase también 13 Referencias 14 Enlaces externos

    Historia[editar]

    El Oriente prehelénico[editar]

    Imagen del hueso de Ishango expuesto en el Real Instituto Belga de Ciencias Naturales.

    Las muescas presentes en el hueso de Ishango, que data de hace más de 20 000 años (anterior por tanto a la aparición de la escritura) y que fue hallado por el arqueólogo Jean de Heinzelin de Braucourt,5​ parecen aislar cuatro números primos: 11, 13, 17 y 19. Algunos arqueólogos interpretan este hecho como la prueba del conocimiento de los números primos. Con todo, existen muy pocos hallazgos que permitan discernir los conocimientos que tenía realmente el hombre de aquella época.6​

    Numerosas tablillas de arcilla cocida atribuidas a las civilizaciones que se fueron sucediendo en Mesopotamia a lo largo del II milenio a.C. muestran la resolución de problemas aritméticos y atestiguan los conocimientos de la época. Los cálculos requerían conocer los inversos de los naturales, que también se han hallado en tablillas.7​En el sistema sexagesimal que empleaban los babilonios para escribir los números, los inversos de los divisores de potencias de 60 () se calculan fácilmente; por ejemplo, dividir entre 24 equivale a multiplicar por 150 (2·60+30) y correr la coma sexagesimal dos lugares. El conocimiento matemático de los babilonios necesitaba una sólida comprensión de la multiplicación, la división y la factorización de los naturales.

    fuente : es.wikipedia.org

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