I'm making factor tables of near-repdigit-related numbers. Current factoring targets are repunit, near-repdigit which has a different digit on the edge or next to the edge, quasi-repdigit including plateau-and-depression which has different digits on both edge, and near-repdigit-palindrome. このページでは、ニアレプディジット関連の数の素因数分解表を作っています。現在の分解対象はレピュニット、端または端から 2 桁目が他の桁と異なるニアレプディジット、プラトウアンドデプレッションを含む両端が他の桁と異なるクワージレプディジット、およびニアレプディジット回文数です。
Repunit is an abbreviated word for repeated unit and means a natural number that is composed entirely of 1 such as 1, 11, 111, 1111, 11111. Repunit normally means decimal repunit without any special notice even though it can be defined on non-decimal numbers. レピュニットは repeated unit (反復単位数) の略で、1, 11, 111, 1111, 11111 のような 1 だけから成る自然数を意味します。10 進数以外でも定義できますが、特に断りがなければ普通は 10 進数のレピュニットを指します。
A natural number that is composed entirely of the same digit are called a repdigit, an abbreviated word for repeated digit. Repdigit includes repunit. レピュニットを含む、すべての桁の数字が同じ自然数 (ぞろ目) を repeated digit を縮めてレプディジットと呼びます。
Near-repdigit is a natural number in which only one digit of a repdigit was replaced with other digit. ニアレプディジットはレプディジットの数字を 1 個だけ他の数字に置き換えた自然数です。
Plateau-and-depression is a quasi-repdigit that has same different digits on both ends. プラトウアンドデプレッション (台地と盆地) は両端に共通の異なる数字を持つクワージレプディジットです。
Quasi-repdigit is a natural number in which only two digits of a repdigit were replaced with other digits. クワージレプディジットはレプディジットの数字を 2 個だけ他の数字に置き換えた自然数です。
Near-repdigit-palindrome is a near-repdigit and a palindrome. Its length is odd number and only one digit in the middle is different from others. 桁数が奇数で中央の桁の数字だけが異なるニアレプディジットがニアレプディジット回文数です。
Serge Batalov found two plateau-and-depression PRPs. Serge Batalov さんが 2 個のプラトウアンドデプレッションのおそらく素数を見つけました。
| rank 順位 | digits 桁数 | flabel | wlabel | expression 式 | name 名前 | date 日付 |
|---|---|---|---|---|---|---|
| 3 | 207557 | 74447 | 74w7 | 67×10207556+239 | Serge Batalov | January 13, 2023 2023 年 1 月 13 日 |
| 4 | 205511 | 75557 | 75w7 | 68×10205510+139 | Serge Batalov | January 13, 2023 2023 年 1 月 13 日 |
Tyler Busby found a plateau-and-depression PRP. Tyler Busby さんがプラトウアンドデプレッションのおそらく素数を見つけました。
| rank 順位 | digits 桁数 | flabel | wlabel | expression 式 | name 名前 | date 日付 |
|---|---|---|---|---|---|---|
| 7 | 131393 | 72227 | 72w7 | 65×10131392+439 | Tyler Busby | January 11, 2023 2023 年 1 月 11 日 |
Florian Baur proved that (2·107925+61)/9 is prime. Florian Baur さんが (2·107925+61)/9 が素数であることを証明しました。
I am thankful to contributors: 投稿してくださった皆さん、ありがとうございます: 10metreh, Agnew yoyo, Alessandro Freda, Alexander Mkrtychyan, Alfred Reich, Andreas Tete, Andy, Anonymous, Anonymouse, Anton Korobeynikov, apo, axels, Bart Jans, bbd in ep, bbmz, Ben Chaffin, Ben Meekins, Beyond, Bob Backstrom, Bob Price, Bouk de Water, Brad, Bryan Koen, btolksdorf, bundaboy, bur, Carlos Pinho, Cedric Vonck, centylion torun, Chris Monico, Christopher Birkbeck, Crunchers For More Power, Crystal Butler, Crystal Pellet, Cyp, Daniel Jackson, Daniel Morel, Darren Bedwell, David Broadhurst, denjoR, Dennis Bertels, Dmitry, Dmitry Domanov, Domanov Dmitry, Dubslow, Dull Man Real Dull, Dylan Delgado, ebina, Edwin Hall, Egon Olsen, EMK2, ERBrouwer, Eric JEANCOLAS, Erik Branger, Evan Engler, Familie, Florian Baur, Florian Piesker, Fragman, Frank Schickel, Frank Villasenor, frank_0987923, Freyn, Friedhelm Baumeister, funecm, funecm2017, G.L.I.S., Gennady Stolyarov II, GRB IV, Greg, Greg Childers, Grotex, Grubix, Grzegorz Roman Granowski, Ha Seok woo, Haran, Harvey Dubner, He Jiahao, honeycrack7, Hugo Platzer, Ian, Ignacio Santos, Ivan Panchenko, ivelive, jafarism, Jamoko, Jan Ptacek, Jane Sullivan, Jarekcz, Jarod McClintock, Jason Parker-Burlingham, jdommer, Jeff Gilchrist, Jeff17, Jens, Jerzy Gieorgijewski, Jiahao He, jje1701, JMB, Jo Yeong Uk, John Black, Jon Becker, Jose Pascoa, Joshua2, JPascoa, Julien Peter Benney, juno1369, Justin Card, K, Maemondo, Kai Inouye, Kenichiro Yamaguchi, Kenji Ibusuki, kh9, KTakahashi, Lazarusuk, LegionMammal978, Lionel Debroux, Liuqyn, Luca Dentis, Luigi Morelli, Luminescence, M Vang, Makoto Kamada, Makso, Maksym Voznyy, MarcinGorecki, Markus Tervooren, Marlon Trifunovic, Masaki UKAI, Mathew, matsui, Max Dettweiler, Meharts, mia7077, Michael Peterson, Michael Rao, MicroKraken, mikkovi, Mitchell, Mitchell Dickerman, Morel Daniel, Mr. Hankey, Mr. Ice, msc_nbg, Naoki Yamamoto, Nechaev Sergey, nenym, NFS@Home, NFS@Home/Serge Batalov, NFSathome, Nicolai Caraibendko, nisba, Nitro, Norbert Schneider, Norman D Powell, Norman Powell, NyanCat, NyanCatTW1, Ordi, Patrick Keller, Paul Underwood, Pawel Apostol, Phil, Phil Carmody, Philippe Strohl, Pierre Jammes, Pipao, Polybius, processing-home, pschoefer, Raffi Chaglassian, Ray Chandler, RAZIELakaALIN, Rich Dickerson, Rich Smith, RichD, rkillian, Roald, Robert Backstrom, Robert Balfour, Robert Gelhar, RobertS, Rocke Verser, Roman, RSALS, ruffenach timothee, Samuel Chong, Sander Hoogendoorn, SBS, Schildkroete, Scott O, Sean A. Irvine, Sean Wellman, Serge Batalov, Shaopu Lin, shauge, shima@engei, shun, Shusuke Kubota, shyguy7129, Sinkiti Sibata, skneo, Sonic@Planet 3DNow!, Stargate38, steinrar, stelf, Steph Lady, suberi, SuikaPredator, Syj, Taiyo Kodama, Takahiro Nohara, Tapio Rajala, TeamFUN, Ted Burton, Tetsuya Kobayashi, Thomas Womack, Thomas Womack for NFS@home, Tom Li, Tomoya Adachi, toms83, ToolboxNL, tor, transtec-AG, Tyler Cadigan, UA_ReMMeR, vanos0512, Victor de Hollander, VictordeHollander, Vladimir, Warut Roonguthai, Wataru Sakai, Wojciech Florek, Yang Hae Hun, yas mat, Yoichi Hanatani, yoshida, Youcef L, Youcef Lemsafer, yoyo, yoyo@Home, Zeta-Flux, zlodeck, [AF>Amis des Lapins] Nabz37, [AF>France] intello222222, [AF>HFR>RR] julien76100, [AF>Le_Pommier>MacADSL.com]Bertrand, [AF>Le_Pommier>MacBidouille.com]m.o.u.s.t.i.c, [boinc.at] Fireman69, [GPU Force] Robert 7NBI, [P3D] Crashtest, [SG-FC] hl, [SG]marodeur6, [TiDC] Chulma, [XTBA>TSA] IvanleFou and [XTBA>TSA]+IvanleFou.