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Консультация № 180569
04.11.2010, 19:25
0.00 руб.
04.11.2010, 20:57
0
5
1
Здравствуйте эксперты!
Помогите найти ответ на вопрос при каком n выражение n4+4 будет простым числом.
Помогите найти ответ на вопрос при каком n выражение n4+4 будет простым числом.
Обсуждение
04.11.2010, 21:03
общий
это ответ
Здравствуйте, Protos!
Имеем n4 + 4 = (n2 + 2n + 2)(n2 – 2n + 2), где при n > 1 оба множителя больше 1. Поэтому только при n = 1 выражение
n4 + 4 будет простым числом. Это утверждение известно в теории чисел под названием теоремы Софи Жермен.
С уважением.
Имеем n4 + 4 = (n2 + 2n + 2)(n2 – 2n + 2), где при n > 1 оба множителя больше 1. Поэтому только при n = 1 выражение
n4 + 4 будет простым числом. Это утверждение известно в теории чисел под названием теоремы Софи Жермен.
С уважением.
5
Спасибо!
Об авторе:
Facta loquuntur.
Facta loquuntur.
Неизвестный
05.11.2010, 18:11
общий
А где можно посмотреть как правильно пользоваться формулами? А то уже несколько раз задавал вопросы и каждый раз писал вслепую даже не представляя что получится. И можно ли посмотреть свой вопрос перед отправкой?
06.11.2010, 00:18
общий
Правила пользования формулами расписаны (Вы ни за что не догадаетесь 
) в Правилах портала
А протестировать формулу можно, например, на тестовом форуме
Причем, даже не обязательно записывать, там есть предпросмотр.
Кстати, если не записывать, то можно протестировать в любом другом форуме.
) в Правилах порталаА протестировать формулу можно, например, на тестовом форуме
Причем, даже не обязательно записывать, там есть предпросмотр.
Кстати, если не записывать, то можно протестировать в любом другом форуме.
Об авторе:
"Если вы заметили, что вы на стороне большинства, —
это верный признак того, что пора меняться." Марк Твен
"Если вы заметили, что вы на стороне большинства, —
это верный признак того, что пора меняться." Марк Твен
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