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An ideal of a ring can be described by this adjective if and only if its associated quotient ring is an integral domain. If the characteristic of a field is non-zero, it is a number described by this adjective. An integer is raised to the power of a number described by this adjective in the statement of Fermat’s Little Theorem. Two integers whose highest common factor is one are said to be “co-,” or “relatively,” this adjective. The Fundamental Theorem of Arithmetic states that each integer greater than one can be factored uniquely into numbers described by this adjective. For 10 points, give this adjective used to describe numbers whose only factors are themselves and one. ■END■
| Upstate NY | Main | Y | 5 | 100% | 0% | 0% | 67.80 |
| Eastern Canada (2) | Main | Y | 9 | 100% | 0% | 0% | 66.00 |
| Great Lakes | Main | Y | 12 | 92% | 0% | 17% | 76.82 |
| Lower Mid-Atlantic | Main | Y | 6 | 100% | 0% | 0% | 94.00 |
| Upper Mid-Atlantic | Main | Y | 12 | 100% | 0% | 0% | 67.75 |
| Midwest | Main | Y | 9 | 100% | 0% | 33% | 83.44 |
| Northeast | Main | Y | 12 | 100% | 0% | 8% | 67.00 |
| Pacific | Main | Y | 9 | 100% | 0% | 11% | 75.56 |
| Southeast | Main | Y | 12 | 100% | 0% | 17% | 79.58 |
| Southern California | Main | Y | 7 | 100% | 0% | 14% | 55.14 |
| UK (South) | UK | Y | 8 | 100% | 0% | 0% | 71.50 |
| UK (North) | UK | Y | 5 | 100% | 0% | 20% | 72.20 |
| Player | Team | Opponent | Buzz Position | Value |
|---|---|---|---|---|
| Tal Bowen | Durham A | Durham C | 16 | -5 |
| Oliver Thompson | CWRU D | Michigan State B | 18 | -5 |
| Rishi Mathur | Claremont B | UCSD A | 21 | -5 |
| Taran Knutson | Michigan A | Louisville A | 22 | 10 |
| Michael Ai | Williams A | Amherst A | 22 | 10 |
| Chris Chang | USC A | UC Irvine | 22 | 10 |
| Beckett Pursey | Purdue B | Purdue A | 25 | -5 |
| Daniel Abrams | Rutgers B | Columbia A | 28 | 10 |
| Skand Parvatikar | Arizona State B | British Columbia C | 34 | 10 |
| Sidarth Erat | MIT A | Dartmouth B | 35 | 10 |
| Nate Brown | CWRU C | Louisville D | 38 | -5 |
| Oliver West | Cambridge B | Cambridge A | 38 | 10 |
| Madeline Strauss | Tufts A | Dartmouth A | 38 | -5 |
| Annika Larson | Claremont A | UC Santa Barbara | 41 | 10 |
| Eli Zimmerman | Tufts C | Boston College B | 42 | 10 |
| Platon Gorokhov | Toronto E | Waterloo C | 45 | 10 |
| Eric Lipsutz | Chicago B | William Woods University A | 50 | -5 |
| Daniel Chen | Emory A | Georgia Tech B | 52 | -5 |
| Imtiaz Kidwai | Toronto F | Brock A | 58 | 10 |
| Henry Ding | Princeton | Lehigh B | 59 | 10 |
| Jiping Fang | Illinois Blue | WashU Grizzlers | 59 | 10 |
| David Black | Illinois Champaign | Iowa A | 59 | -5 |
| Danny Cutbill | RIT A | Binghamton A | 59 | 10 |
| Michael Zheng | UCLA F | UCLA A | 59 | 10 |
| Joseph Wang | UCLA E | Claremont C | 59 | 10 |
| Dawson Teu | Waterloo A | Toronto B | 59 | 10 |
| Andrew Nucci | UCLA B | UCSD B | 59 | 10 |
| Bharath Ram | Georgia Tech A | Vanderbilt A | 59 | 10 |
| David Xilbille | Georgia Tech C | Alabama A | 59 | 10 |
| Derek Li | Cornell A | RIT B | 60 | 10 |
| Pen Hughes | Edinburgh C | Edinburgh B | 61 | 10 |
| Gabe Rosen-Turits | NYU B | Lehigh A | 62 | 10 |
| Eames Weeks | Brown A | Vermont B | 62 | 10 |
| Logan Van Pelt | Washington Coho | Boise State | 64 | -5 |
| Ellen Ge | Toronto A | Toronto D | 65 | 10 |
| Akif Ismail | Williams C | Brandeis Beethoven | 65 | 10 |
| Salil Jain | Williams B | Boston College A | 67 | 10 |
| James Zhao | Vanderbilt C | Vanderbilt B | 67 | 10 |
| Jason Lee | Rutgers A | NYU A | 68 | 10 |
| Harry Oxley | Imperial C | Imperial D | 69 | 10 |
| Sicheng Jiang | Toronto H | McMaster C | 71 | 10 |
| Daniel Huang | Georgia Tech D | Clemson C | 71 | 10 |
| Peter Zeng | Ohio State A | Michigan C | 72 | 10 |
| Rohit Chintala | Maryland B | Maryland C | 72 | 10 |
| Cooper Morris | Columbia B | Vassar B | 72 | 10 |
| Ba Loc Dinh | Illinois Urbana | Illinois Canada | 72 | 10 |
| Saswat Sasha Tripathi | Chicago A | Indiana A | 72 | 10 |
| Rory Moloney | Cambridge E | LSE | 72 | 10 |
| Alex Forman | Cornell D | Binghamton B | 72 | 10 |
| Daniel Rosado | UCLA D | UCLA C | 72 | 10 |
| Nameer Qadir | Toronto C | McMaster A | 72 | 10 |
| Brendan Bridle | Queen's A | Toronto I | 72 | 10 |
| Ben Mowery | Vermont A | Brandeis Bach | 72 | 10 |
| Anne Fjeld | Alberta A | Washington Pink | 72 | 10 |
| Max Kurzman | UNC D | VCU A | 72 | 10 |
| Samarth Prajapati | Georgia Tech E | Tennessee Tech | 72 | 10 |
| Caleb Slusher | South Carolina A | Chipola College | 72 | 10 |
| Charlotte Nicholas | Durham B | York | 72 | 10 |
| Pace Klein | CWRU B | Michigan State A | 73 | 10 |
| Brody Johnson | Louisville B | Ohio State B | 73 | 10 |
| Gary Wang | Michigan D | Kentucky | 73 | 10 |
| Alex Wong | Rutgers D | Stony Brook | 73 | 10 |
| Arthur Zhang | Purdue C | WashU Grolars | 73 | 10 |
| Nayaaz Hashim | Oxford | Bristol | 73 | 10 |
| Shivam Saxena | Georgia Tech F | Auburn A | 73 | 10 |
| John Shelley | Clemson B | Sewanne | 73 | -5 |
| March Delfin | UCSD A | Claremont B | 74 | 10 |
| Matthew Wozniak | Michigan B | CWRU A | 74 | 10 |
| Eric Morshed | Johns Hopkins | Penn | 74 | 10 |
| Michael Shipman | Cambridge D | Birmingham | 74 | 10 |
| James Stadler | Imperial B | Imperial A | 74 | 10 |
| Jolie Yeh | Warwick | Cambridge C | 74 | 10 |
| Gregory Stone | ESF | Binghamton C | 74 | 10 |
| Gabriel Nell | Cornell B | Cornell C | 74 | 10 |
| Yvonne Pan | Amherst B | Southern Connecticut State University A | 74 | 10 |
| Joyann Hua | British Columbia B | Washington State | 74 | 10 |
| Kevin Liu | Texas | Arizona State A | 74 | 10 |
| Luke Simon | Alberta B | Washington Chinook | 74 | 10 |
| Ryan Liu | Ohio State D | Michigan State D | 74 | 10 |
| Josue Lopez | WVU A | Louisville C | 74 | 10 |
| Kevin Liu | Maryland A | George Mason A | 74 | 10 |
| James Headon | Edinburgh A | Edinburgh D | 74 | 10 |
| William Berger | Dartmouth C | MIT B | 75 | 10 |
| Yiwei Jiang | NYU C | George Mason C | 76 | 10 |
| Sam Alahi | Illinois Orange | Rose-Hulman A | 76 | 10 |
| Aleksa Misic | Waterloo B | Guelph A | 76 | 10 |
| Liam Henderson | McMaster B | Toronto G | 76 | 10 |
| Jonathan Schnipper | Brandeis Mozart | Brown B | 76 | 10 |
| Alex Hestermann | Washington Sockeye | British Columbia A | 76 | 10 |
| George Matsumura | Washington Chum | Washington Steelhead | 76 | 10 |
| Justine Hopkins | Liberty C | Liberty B | 76 | 10 |
| Braydon Morefield | George Mason B | Vassar A | 76 | 10 |
| Alex Irvine | Sheffield A | Sheffield B | 76 | 10 |
| Alex Dzurick | William Woods University A | Chicago B | 78 | 10 |
| Rafa Travis | Durham C | Durham A | 78 | 10 |
| Aryan Malhotra | Rutgers C | Rowan | 79 | 10 |
| Wesley Stine | Clemson A | Tennessee A | 79 | 10 |
| Coy Mier | Auburn B | Georgia A | 83 | 10 |
| Stella Brown | Washington Masu | Washington Atlantic | 84 | 10 |
| Eric Yang | Purdue A | Purdue B | 92 | 10 |
| William Erwin | William & Mary B | Liberty A | 92 | 10 |
| Louis Harney | Georgia Tech B | Emory A | 93 | 10 |
| Antonio LaNave | Virginia Tech C | UNC B | 95 | 10 |
| Pratham Bhanushali | WVU B | Michigan State C | 96 | 10 |
| James Carrick-Lawson | Southampton | Cardiff | 98 | 10 |
| Kenner Bailey | Boston University A | Tufts B | 98 | 10 |
| Sewanth Paudel | Ohio State C | Pittsburgh | 98 | 10 |
| Austin Embry | Auburn C | Mississippi State A | 111 | 10 |
| Yashaswi Jaishy | Iowa B | Indiana B | 113 | 10 |
| Mason Lambert | JMU A | Duke A | 113 | 10 |
| Bonham Buchannon | Louisville D | CWRU C | 116 | 10 |
| Grace Early | Iowa A | Illinois Champaign | 116 | 10 |
| Elliott Gomes | Dartmouth A | Tufts A | 116 | 10 |
| Ben Kantsiper | JMU B | Tusculum A | 116 | 10 |
| Helen Neves | Boise State | Washington Coho | 116 | 10 |
| Nelson Adams-Riley | Sewanne | Clemson B | 116 | 10 |