Коллегам-математикам Я в натуральном смятении. То бишь в том, что принято нынче называть емким словом "непонятки". Вот смотрите. Если я решил…
Я тут подумал и сделал ссылочную страничку. Пользуйтесь на здоровье. (Учтите, что условия задач приведены в кратком виде, для чтения полных условий…
Очередное моё творчество для "Элементов". http://elementy.ru/problems/1093 На сей раз в качестве задачи выбран сюжет 10.8 из Всероса этого года…
Коллегам-математикам Я в натуральном смятении. То бишь в том, что принято нынче называть емким словом "непонятки". Вот смотрите. Если я решил…
Я тут подумал и сделал ссылочную страничку. Пользуйтесь на здоровье. (Учтите, что условия задач приведены в кратком виде, для чтения полных условий…
Очередное моё творчество для "Элементов". http://elementy.ru/problems/1093 На сей раз в качестве задачи выбран сюжет 10.8 из Всероса этого года…
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Site.page = {"hasactiveuserpic":0,"entry":{"is_version2":0,"title":"Найдите закономерность","poster":"knop","ditemid":107484,"journal":"knop"},"ajaxPagination":1,"post_images":null,"comments":[{"userpic":"https://l-userpic.livejournal.com/61430075/10304910","uname":"fiviol","loaded":1,"content":null,"format_ver":0,"is_frank_comment":0,"statprefix":"https://l-stat.livejournal.net","deepLevel":0,"talkid":9859,"controls":[{"allowed":1,"href":"https://www.livejournal.com/tools/content_flag.bml?talkid=2524124&journal=knop","name":"contentflag","title":"Report"}],"siteroot":"https://www.livejournal.com","ipaddr":null,"parent":0,"commenter_is_poster":0,"subject":"","is_like_comment":0,"is_promo":0,"username":[{"journal_url":"https://fiviol.livejournal.com/","striked":null,"journaltype":"P","userhead_url":"https://l-stat.livejournal.net/img/userinfo_v8.svg?v=17080&v=802.1","color":null,"noctxpopup":0,"badge":null,"is_paid":0,"side_alias":0,"journal":"fiviol","inline_css":0,"attrs":null,"is_identity":0,"bold":1,"show_userhead":1,"identity_code":null,"username":"fiviol","user_alias":"","profile_url":"https://fiviol.livejournal.com/profile/","alias":0}],"thread":2524124,"level":1,"dname":"fiviol","commenter_badge":null,"shown":1,"collapsed":0,"is_rte2022":0,"actions":[{"allowed":1,"href":"https://knop.livejournal.com/107484.html?replyto=2524124","name":"reply","title":"Reply","footer":1},{"allowed":1,"href":"https://knop.livejournal.com/107484.html?thread=2524124#t2524124","name":"permalink","title":"link"},{"allowed":1,"href":"https://knop.livejournal.com/107484.html?thread=2524124#t2524124","name":"collapse","title":"Collapse"},{"allowed":1,"href":"https://knop.livejournal.com/107484.html?thread=2524124#t2524124","name":"expand","title":"Expand"}],"p_tracked":0,"commenter_journal_base":"https://fiviol.livejournal.com/","lj_statprefix":"https://l-stat.livejournal.net","dtalkid":2524124,"etime_ts":null,"thread_url":"https://knop.livejournal.com/107484.html?thread=2524124#t2524124","above":null,"upictitle":"Филимоненков Виктор: Поезд","article":"Число единиц совпадает с числом простых делителей. n-тое простое число имеет вид (n-1 нулей)1. Составные вроде бы похожи на выписанные друг за другом в порядке возрастания простые множители, но 4, 6 и 9 этому свойству не удовлетворяют. Тем не менее рискну:
14 = 10001
15 = 01001","noid":null,"poster":"knop","stime":"15 years ago","below":null,"ctime":"February 7 2009, 09:25:39 UTC","deleted_poster":null,"massactions":0,"is_hatespeech":0,"deleted":0,"etime":null,"ctime_ts":1233998739,"subclass":null,"suspended":null,"margin":0,"leafclass":null,"is_best":0,"tracked":0},{"userpic":"https://l-userpic.livejournal.com/61430075/10304910","uname":"fiviol","loaded":1,"content":null,"format_ver":0,"is_frank_comment":0,"statprefix":"https://l-stat.livejournal.net","deepLevel":0,"talkid":10039,"controls":[{"allowed":1,"href":"https://www.livejournal.com/tools/content_flag.bml?talkid=2570204&journal=knop","name":"contentflag","title":"Report"}],"siteroot":"https://www.livejournal.com","ipaddr":null,"parent":2524124,"commenter_is_poster":0,"subject":"","is_like_comment":0,"is_promo":0,"username":[{"journal_url":"https://fiviol.livejournal.com/","striked":null,"journaltype":"P","userhead_url":"https://l-stat.livejournal.net/img/userinfo_v8.svg?v=17080&v=802.1","color":null,"noctxpopup":0,"badge":null,"is_paid":0,"side_alias":0,"journal":"fiviol","inline_css":0,"attrs":null,"is_identity":0,"bold":1,"show_userhead":1,"identity_code":null,"username":"fiviol","user_alias":"","profile_url":"https://fiviol.livejournal.com/profile/","alias":0}],"thread":2570204,"level":2,"dname":"fiviol","commenter_badge":null,"shown":1,"collapsed":0,"is_rte2022":0,"actions":[{"allowed":1,"href":"https://knop.livejournal.com/107484.html?replyto=2570204","name":"reply","title":"Reply","footer":1},{"allowed":1,"href":"https://knop.livejournal.com/107484.html?thread=2570204#t2570204","name":"permalink","title":"link"},{"allowed":1,"href":"https://knop.livejournal.com/107484.html?thread=2570204#t2570204","name":"collapse","title":"Collapse"},{"allowed":1,"href":"https://knop.livejournal.com/107484.html?thread=2570204#t2570204","name":"expand","title":"Expand"}],"p_tracked":0,"commenter_journal_base":"https://fiviol.livejournal.com/","lj_statprefix":"https://l-stat.livejournal.net","dtalkid":2570204,"etime_ts":null,"thread_url":"https://knop.livejournal.com/107484.html?thread=2570204#t2570204","above":2524124,"upictitle":"Филимоненков Виктор: Поезд","article":"270 = 2*3*3*3*5 = 1011101
Закономерность в целом такая же, но: поскольку простые множители все равно идут в порядке возрастания, лишние нули можно убирать.
Например, раз после 01 (обозначающей первую тройку) идет 1, то эта 1 не может обозначать 2. То же самое, раз после 0111, означающих тройки, идет 01, то это 01 не может обозначать тройку (иначе она была бы записана как 1).","noid":null,"poster":"knop","stime":"15 years ago","below":null,"ctime":"February 10 2009, 04:39:10 UTC","deleted_poster":null,"massactions":0,"is_hatespeech":0,"deleted":0,"etime":null,"ctime_ts":1234240750,"subclass":null,"suspended":null,"margin":30,"leafclass":null,"is_best":0,"tracked":0},{"userpic":"https://l-userpic.livejournal.com/84977869/18333022","uname":"shaiva","loaded":1,"content":null,"format_ver":0,"is_frank_comment":0,"statprefix":"https://l-stat.livejournal.net","deepLevel":0,"talkid":9860,"controls":[{"allowed":1,"href":"https://www.livejournal.com/tools/content_flag.bml?talkid=2524380&journal=knop","name":"contentflag","title":"Report"}],"siteroot":"https://www.livejournal.com","ipaddr":null,"parent":0,"commenter_is_poster":0,"subject":"","is_like_comment":0,"is_promo":0,"username":[{"journal_url":"https://shaiva.livejournal.com/","striked":null,"journaltype":"P","userhead_url":"https://l-stat.livejournal.net/img/userinfo_v8.svg?v=17080&v=802.1","color":null,"noctxpopup":0,"badge":null,"is_paid":0,"side_alias":0,"journal":"shaiva","inline_css":0,"attrs":null,"is_identity":0,"bold":1,"show_userhead":1,"identity_code":null,"username":"shaiva","user_alias":"","profile_url":"https://shaiva.livejournal.com/profile/","alias":0}],"thread":2524380,"level":1,"dname":"shaiva","commenter_badge":null,"shown":1,"collapsed":0,"is_rte2022":0,"actions":[{"allowed":1,"href":"https://knop.livejournal.com/107484.html?replyto=2524380","name":"reply","title":"Reply","footer":1},{"allowed":1,"href":"https://knop.livejournal.com/107484.html?thread=2524380#t2524380","name":"permalink","title":"link"},{"allowed":1,"href":"https://knop.livejournal.com/107484.html?thread=2524380#t2524380","name":"collapse","title":"Collapse"},{"allowed":1,"href":"https://knop.livejournal.com/107484.html?thread=2524380#t2524380","name":"expand","title":"Expand"}],"p_tracked":0,"commenter_journal_base":"https://shaiva.livejournal.com/","lj_statprefix":"https://l-stat.livejournal.net","dtalkid":2524380,"etime_ts":null,"thread_url":"https://knop.livejournal.com/107484.html?thread=2524380#t2524380","above":null,"upictitle":"shaiva: pic#84977869","article":"Может 4 == 11 ? Тогда бы было 14 == 10001. А так 4 выглядит так же, как и 9...","noid":null,"poster":"knop","stime":"15 years ago","below":null,"ctime":"February 7 2009, 09:38:22 UTC","deleted_poster":null,"massactions":0,"is_hatespeech":0,"deleted":0,"etime":null,"ctime_ts":1233999502,"subclass":null,"suspended":null,"margin":0,"leafclass":null,"is_best":0,"tracked":0},{"userpic":"https://l-userpic.livejournal.com/129146860/7861755","uname":"_bigbrother_","loaded":1,"content":null,"format_ver":0,"is_frank_comment":0,"statprefix":"https://l-stat.livejournal.net","deepLevel":0,"talkid":9861,"controls":[{"allowed":1,"href":"https://www.livejournal.com/tools/content_flag.bml?talkid=2524636&journal=knop","name":"contentflag","title":"Report"}],"siteroot":"https://www.livejournal.com","ipaddr":null,"parent":0,"commenter_is_poster":0,"subject":"","is_like_comment":0,"is_promo":0,"username":[{"journal_url":"https://users.livejournal.com/-bigbrother-/","striked":null,"journaltype":"P","userhead_url":"https://l-stat.livejournal.net/img/userinfo_v8.svg?v=17080&v=802.1","color":null,"noctxpopup":0,"badge":null,"is_paid":0,"side_alias":0,"journal":"_bigbrother_","inline_css":0,"attrs":null,"is_identity":0,"bold":1,"show_userhead":1,"identity_code":null,"username":"_bigbrother_","user_alias":"","profile_url":"https://users.livejournal.com/-bigbrother-/profile/","alias":0}],"thread":2524636,"level":1,"dname":"_bigbrother_","commenter_badge":null,"shown":1,"collapsed":0,"is_rte2022":0,"actions":[{"allowed":1,"href":"https://knop.livejournal.com/107484.html?replyto=2524636","name":"reply","title":"Reply","footer":1},{"allowed":1,"href":"https://knop.livejournal.com/107484.html?thread=2524636#t2524636","name":"permalink","title":"link"},{"allowed":1,"href":"https://knop.livejournal.com/107484.html?thread=2524636#t2524636","name":"collapse","title":"Collapse"},{"allowed":1,"href":"https://knop.livejournal.com/107484.html?thread=2524636#t2524636","name":"expand","title":"Expand"}],"p_tracked":0,"commenter_journal_base":"https://users.livejournal.com/-bigbrother-/","lj_statprefix":"https://l-stat.livejournal.net","dtalkid":2524636,"etime_ts":null,"thread_url":"https://knop.livejournal.com/107484.html?thread=2524636#t2524636","above":null,"upictitle":"Евгений Петров: 2019","article":"Блин, времени нет, напишу, что есть :).
У меня лезет следующая закономерность.
1. Обозначим все простые множители: 2,3,5,7,11,13 и т.д.
N-е обозначим очевидным образом: (N-1) нулей и 1.
2. А составные числа - просто запишем подряд обозначения простых множителей, начиная с наименьшего. Каждый множитель пишем столько раз, сколько он входит в разложение.
Тогда 14 = 2*7 == 10001
Но в это правило не лезут сразу три приведённых числа, а именно 4, 6 и 9. Первое тогда должно быть записано как 11 (а не 011), второе - как 101 (а не 0101), третье - как 0101 (а не 011).
А у меня уже ни времени нет, ни сил думать :).","noid":null,"poster":"knop","stime":"15 years ago","below":null,"ctime":"February 7 2009, 09:40:44 UTC","deleted_poster":null,"massactions":0,"is_hatespeech":0,"deleted":0,"etime":null,"ctime_ts":1233999644,"subclass":null,"suspended":null,"margin":0,"leafclass":null,"is_best":0,"tracked":0},{"userpic":"https://l-userpic.livejournal.com/80446853/1543879","uname":"maksa","loaded":1,"content":null,"format_ver":0,"is_frank_comment":0,"statprefix":"https://l-stat.livejournal.net","deepLevel":0,"talkid":9862,"controls":[{"allowed":1,"href":"https://www.livejournal.com/tools/content_flag.bml?talkid=2524892&journal=knop","name":"contentflag","title":"Report"}],"siteroot":"https://www.livejournal.com","ipaddr":null,"parent":0,"commenter_is_poster":0,"subject":"","is_like_comment":0,"is_promo":0,"username":[{"journal_url":"https://maksa.livejournal.com/","striked":null,"journaltype":"P","userhead_url":"https://l-stat.livejournal.net/img/userinfo_v8.svg?v=17080&v=802.1","color":null,"noctxpopup":0,"badge":null,"is_paid":0,"side_alias":0,"journal":"maksa","inline_css":0,"attrs":null,"is_identity":0,"bold":1,"show_userhead":1,"identity_code":null,"username":"maksa","user_alias":"","profile_url":"https://maksa.livejournal.com/profile/","alias":0}],"thread":2524892,"level":1,"dname":"maksa","commenter_badge":null,"shown":1,"collapsed":0,"is_rte2022":0,"actions":[{"allowed":1,"href":"https://knop.livejournal.com/107484.html?replyto=2524892","name":"reply","title":"Reply","footer":1},{"allowed":1,"href":"https://knop.livejournal.com/107484.html?thread=2524892#t2524892","name":"permalink","title":"link"},{"allowed":1,"href":"https://knop.livejournal.com/107484.html?thread=2524892#t2524892","name":"collapse","title":"Collapse"},{"allowed":1,"href":"https://knop.livejournal.com/107484.html?thread=2524892#t2524892","name":"expand","title":"Expand"}],"p_tracked":0,"commenter_journal_base":"https://maksa.livejournal.com/","lj_statprefix":"https://l-stat.livejournal.net","dtalkid":2524892,"etime_ts":null,"thread_url":"https://knop.livejournal.com/107484.html?thread=2524892#t2524892","above":null,"upictitle":"maksa: чёрно-белый","article":"Вот такую логику я бы понял:
2 — 1
3 — 01
4 — 11
5 — 001
6 — 101
7 — 0001
8 — 111
9 — 011
10 — 1001
11 — 00001
12 — 1101
13 — 000001
Но логику Сергея Орлова понять не могу.","noid":null,"poster":"knop","stime":"15 years ago","below":null,"ctime":"February 7 2009, 09:48:16 UTC","deleted_poster":null,"massactions":0,"is_hatespeech":0,"deleted":0,"etime":null,"ctime_ts":1234000096,"subclass":null,"suspended":null,"margin":0,"leafclass":null,"is_best":0,"tracked":0},{"userpic":"https://l-userpic.livejournal.com/85300814/12769925","uname":"leonwolf","loaded":1,"content":null,"format_ver":0,"is_frank_comment":0,"statprefix":"https://l-stat.livejournal.net","deepLevel":0,"talkid":9864,"controls":[{"allowed":1,"href":"https://www.livejournal.com/tools/content_flag.bml?talkid=2525404&journal=knop","name":"contentflag","title":"Report"}],"siteroot":"https://www.livejournal.com","ipaddr":null,"parent":0,"commenter_is_poster":0,"subject":"","is_like_comment":0,"is_promo":0,"username":[{"journal_url":"https://leonwolf.livejournal.com/","striked":null,"journaltype":"P","userhead_url":"https://l-stat.livejournal.net/img/userinfo_v8.svg?v=17080&v=802.1","color":null,"noctxpopup":0,"badge":null,"is_paid":0,"side_alias":0,"journal":"leonwolf","inline_css":0,"attrs":null,"is_identity":0,"bold":1,"show_userhead":1,"identity_code":null,"username":"leonwolf","user_alias":"","profile_url":"https://leonwolf.livejournal.com/profile/","alias":0}],"thread":2525404,"level":1,"dname":"leonwolf","commenter_badge":null,"shown":1,"collapsed":0,"is_rte2022":0,"actions":[{"allowed":1,"href":"https://knop.livejournal.com/107484.html?replyto=2525404","name":"reply","title":"Reply","footer":1},{"allowed":1,"href":"https://knop.livejournal.com/107484.html?thread=2525404#t2525404","name":"permalink","title":"link"},{"allowed":1,"href":"https://knop.livejournal.com/107484.html?thread=2525404#t2525404","name":"collapse","title":"Collapse"},{"allowed":1,"href":"https://knop.livejournal.com/107484.html?thread=2525404#t2525404","name":"expand","title":"Expand"}],"p_tracked":0,"commenter_journal_base":"https://leonwolf.livejournal.com/","lj_statprefix":"https://l-stat.livejournal.net","dtalkid":2525404,"etime_ts":null,"thread_url":"https://knop.livejournal.com/107484.html?thread=2525404#t2525404","above":null,"upictitle":"Леонид Волков: ЛВ10","article":"Верно ли указаны соответствия для 4 и 6? Действительно ли соответствие для 4 и для 9 одно и то же?
Если бы было соответствие 4 == 11, 6 == 101, то подходил бы, очевидно, ответ 14 == 10001 (просто разложение на простые множители). Иначе приходится считать, что тот факт, что соответствия для всех простых чисел имеют вид \"несколько ноликов, единичка\" - случаен :) ","noid":null,"poster":"knop","stime":"15 years ago","below":null,"ctime":"February 7 2009, 10:12:29 UTC","deleted_poster":null,"massactions":0,"is_hatespeech":0,"deleted":0,"etime":null,"ctime_ts":1234001549,"subclass":null,"suspended":null,"margin":0,"leafclass":null,"is_best":0,"tracked":0},{"userpic":"https://l-userpic.livejournal.com/91534811/10007695","uname":"nuladno","loaded":1,"content":null,"format_ver":0,"is_frank_comment":0,"statprefix":"https://l-stat.livejournal.net","deepLevel":0,"talkid":9885,"controls":[{"allowed":1,"href":"https://www.livejournal.com/tools/content_flag.bml?talkid=2530780&journal=knop","name":"contentflag","title":"Report"}],"siteroot":"https://www.livejournal.com","ipaddr":null,"parent":0,"commenter_is_poster":0,"subject":"","is_like_comment":0,"is_promo":0,"username":[{"journal_url":"https://nuladno.livejournal.com/","striked":null,"journaltype":"P","userhead_url":"https://l-stat.livejournal.net/img/userinfo_v8.svg?v=17080&v=802.1","color":null,"noctxpopup":0,"badge":null,"is_paid":0,"side_alias":0,"journal":"nuladno","inline_css":0,"attrs":null,"is_identity":0,"bold":1,"show_userhead":1,"identity_code":null,"username":"nuladno","user_alias":"","profile_url":"https://nuladno.livejournal.com/profile/","alias":0}],"thread":2530780,"level":1,"dname":"nuladno","commenter_badge":null,"shown":1,"collapsed":0,"is_rte2022":0,"actions":[{"allowed":1,"href":"https://knop.livejournal.com/107484.html?replyto=2530780","name":"reply","title":"Reply","footer":1},{"allowed":1,"href":"https://knop.livejournal.com/107484.html?thread=2530780#t2530780","name":"permalink","title":"link"},{"allowed":1,"href":"https://knop.livejournal.com/107484.html?thread=2530780#t2530780","name":"collapse","title":"Collapse"},{"allowed":1,"href":"https://knop.livejournal.com/107484.html?thread=2530780#t2530780","name":"expand","title":"Expand"}],"p_tracked":0,"commenter_journal_base":"https://nuladno.livejournal.com/","lj_statprefix":"https://l-stat.livejournal.net","dtalkid":2530780,"etime_ts":null,"thread_url":"https://knop.livejournal.com/107484.html?thread=2530780#t2530780","above":null,"upictitle":"nuladno: pic#91534811","article":"tam netu opechatki? I 4, i 9 = 011? Ili vse-tki 4 = 11, a 9 = 011?
V smysle, esli ono tak, kak ya napisala, to eto razl-e na mn-li, i 14=2*7 = 10001","noid":null,"poster":"knop","stime":"15 years ago","below":null,"ctime":"February 7 2009, 11:46:35 UTC","deleted_poster":null,"massactions":0,"is_hatespeech":0,"deleted":0,"etime":null,"ctime_ts":1234007195,"subclass":null,"suspended":null,"margin":0,"leafclass":null,"is_best":0,"tracked":0},{"userpic":"https://l-userpic.livejournal.com/60774497/12252086","uname":"ted_dy","loaded":1,"content":null,"format_ver":0,"is_frank_comment":0,"statprefix":"https://l-stat.livejournal.net","deepLevel":0,"talkid":9886,"controls":[{"allowed":1,"href":"https://www.livejournal.com/tools/content_flag.bml?talkid=2531036&journal=knop","name":"contentflag","title":"Report"}],"siteroot":"https://www.livejournal.com","ipaddr":null,"parent":0,"commenter_is_poster":0,"subject":"","is_like_comment":0,"is_promo":0,"username":[{"journal_url":"https://ted-dy.livejournal.com/","striked":null,"journaltype":"P","userhead_url":"https://l-stat.livejournal.net/img/userinfo_v8.svg?v=17080&v=802.1","color":null,"noctxpopup":0,"badge":null,"is_paid":0,"side_alias":0,"journal":"ted_dy","inline_css":0,"attrs":null,"is_identity":0,"bold":1,"show_userhead":1,"identity_code":null,"username":"ted_dy","user_alias":"","profile_url":"https://ted-dy.livejournal.com/profile/","alias":0}],"thread":2531036,"level":1,"dname":"ted_dy","commenter_badge":null,"shown":1,"collapsed":0,"is_rte2022":0,"actions":[{"allowed":1,"href":"https://knop.livejournal.com/107484.html?replyto=2531036","name":"reply","title":"Reply","footer":1},{"allowed":1,"href":"https://knop.livejournal.com/107484.html?thread=2531036#t2531036","name":"permalink","title":"link"},{"allowed":1,"href":"https://knop.livejournal.com/107484.html?thread=2531036#t2531036","name":"collapse","title":"Collapse"},{"allowed":1,"href":"https://knop.livejournal.com/107484.html?thread=2531036#t2531036","name":"expand","title":"Expand"}],"p_tracked":0,"commenter_journal_base":"https://ted-dy.livejournal.com/","lj_statprefix":"https://l-stat.livejournal.net","dtalkid":2531036,"etime_ts":null,"thread_url":"https://knop.livejournal.com/107484.html?thread=2531036#t2531036","above":null,"upictitle":"Бахарев Фёдор: ёжик","article":"не взаимнооднозначно да? 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Простые числа и разложение на простые сомножители.","noid":null,"poster":"knop","stime":"15 years ago","below":null,"ctime":"February 7 2009, 11:59:41 UTC","deleted_poster":null,"massactions":0,"is_hatespeech":0,"deleted":0,"etime":null,"ctime_ts":1234007981,"subclass":null,"suspended":null,"margin":0,"leafclass":null,"is_best":0,"tracked":0},{"userpic":"https://l-userpic.livejournal.com/60294264/10880985","uname":"efimpp","loaded":1,"content":null,"format_ver":0,"is_frank_comment":0,"statprefix":"https://l-stat.livejournal.net","deepLevel":0,"talkid":9888,"controls":[{"allowed":1,"href":"https://www.livejournal.com/tools/content_flag.bml?talkid=2531548&journal=knop","name":"contentflag","title":"Report"}],"siteroot":"https://www.livejournal.com","ipaddr":null,"parent":0,"commenter_is_poster":0,"subject":"","is_like_comment":0,"is_promo":0,"username":[{"journal_url":"https://efimpp.livejournal.com/","striked":null,"journaltype":"P","userhead_url":"https://l-stat.livejournal.net/img/userinfo_v8.svg?v=17080&v=802.1","color":null,"noctxpopup":0,"badge":null,"is_paid":0,"side_alias":0,"journal":"efimpp","inline_css":0,"attrs":null,"is_identity":0,"bold":1,"show_userhead":1,"identity_code":null,"username":"efimpp","user_alias":"","profile_url":"https://efimpp.livejournal.com/profile/","alias":0}],"thread":2531548,"level":1,"dname":"efimpp","commenter_badge":null,"shown":1,"collapsed":0,"is_rte2022":0,"actions":[{"allowed":1,"href":"https://knop.livejournal.com/107484.html?replyto=2531548","name":"reply","title":"Reply","footer":1},{"allowed":1,"href":"https://knop.livejournal.com/107484.html?thread=2531548#t2531548","name":"permalink","title":"link"},{"allowed":1,"href":"https://knop.livejournal.com/107484.html?thread=2531548#t2531548","name":"collapse","title":"Collapse"},{"allowed":1,"href":"https://knop.livejournal.com/107484.html?thread=2531548#t2531548","name":"expand","title":"Expand"}],"p_tracked":0,"commenter_journal_base":"https://efimpp.livejournal.com/","lj_statprefix":"https://l-stat.livejournal.net","dtalkid":2531548,"etime_ts":null,"thread_url":"https://knop.livejournal.com/107484.html?thread=2531548#t2531548","above":null,"upictitle":"efimpp: 1","article":"а = и == это одно и то же? 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meme2","article":"14 = 10001
Но, не могу сказать, что совсем понял логику :)
Очевидно, что простые числа в этой последовательности представляются так: на конце единица, а число нулей перед - порядковый номер простого числа минус один.
Далее, похоже, что все остальные числа получаются конкатенацией простых чисел из произведения которых они состоят в порядке возрастания этих простых чисел. Но тут не все гладко.
Скажем 10 = 2*5 = \"1\" + \"001\" = 1001; 12 = 2*2*3 = \"1\"+\"1\"+\"01\" = 1101
Но есть три исключения: 4 представлена как 011 вместо 11, 6 - 0101 вместо 101, а 9 вообще 011 вместо 0101. Если бы не 9, то лишние нули вначале у 4 и 6 еще можно было бы попробовать как-нибудь объяснить :)
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Второе, правильное: 14 = 10001.
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