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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 |
| Michael Ai | Williams A | Amherst A | 22 | 10 |
| Chris Chang | USC A | UC Irvine | 22 | 10 |
| Taran Knutson | Michigan A | Louisville A | 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 |
| Madeline Strauss | Tufts A | Dartmouth A | 38 | -5 |
| Oliver West | Cambridge B | Cambridge A | 38 | 10 |
| 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 |
| Andrew Nucci | UCLA B | UCSD B | 59 | 10 |
| Dawson Teu | Waterloo A | Toronto B | 59 | 10 |
| Bharath Ram | Georgia Tech A | Vanderbilt A | 59 | 10 |
| David Xilbille | Georgia Tech C | Alabama A | 59 | 10 |
| Danny Cutbill | RIT A | Binghamton A | 59 | 10 |
| Michael Zheng | UCLA F | UCLA A | 59 | 10 |
| Joseph Wang | UCLA E | Claremont C | 59 | 10 |
| Jiping Fang | Illinois Blue | WashU Grizzlers | 59 | 10 |
| David Black | Illinois Champaign | Iowa A | 59 | -5 |
| Derek Li | Cornell A | RIT B | 60 | 10 |
| Pen Hughes | Edinburgh C | Edinburgh B | 61 | 10 |
| Eames Weeks | Brown A | Vermont B | 62 | 10 |
| Gabe Rosen-Turits | NYU B | Lehigh A | 62 | 10 |
| Logan Van Pelt | Washington Coho | Boise State | 64 | -5 |
| Akif Ismail | Williams C | Brandeis Beethoven | 65 | 10 |
| Ellen Ge | Toronto A | Toronto D | 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 |
| Brendan Bridle | Queen's A | Toronto I | 72 | 10 |
| Max Kurzman | UNC D | VCU A | 72 | 10 |
| Rohit Chintala | Maryland B | Maryland C | 72 | 10 |
| Ben Mowery | Vermont A | Brandeis Bach | 72 | 10 |
| Samarth Prajapati | Georgia Tech E | Tennessee Tech | 72 | 10 |
| Caleb Slusher | South Carolina A | Chipola College | 72 | 10 |
| Nameer Qadir | Toronto C | McMaster A | 72 | 10 |
| Peter Zeng | Ohio State A | Michigan C | 72 | 10 |
| Anne Fjeld | Alberta A | Washington Pink | 72 | 10 |
| Alex Forman | Cornell D | Binghamton B | 72 | 10 |
| Daniel Rosado | UCLA D | UCLA 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 |
| Charlotte Nicholas | Durham B | York | 72 | 10 |
| Rory Moloney | Cambridge E | LSE | 72 | 10 |
| Shivam Saxena | Georgia Tech F | Auburn A | 73 | 10 |
| John Shelley | Clemson B | Sewanne | 73 | -5 |
| 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 |
| Nayaaz Hashim | Oxford | Bristol | 73 | 10 |
| Arthur Zhang | Purdue C | WashU Grolars | 73 | 10 |
| Eric Morshed | Johns Hopkins | Penn | 74 | 10 |
| Kevin Liu | Texas | Arizona State A | 74 | 10 |
| Luke Simon | Alberta B | Washington Chinook | 74 | 10 |
| March Delfin | UCSD A | Claremont B | 74 | 10 |
| Matthew Wozniak | Michigan B | CWRU A | 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 |
| Yvonne Pan | Amherst B | Southern Connecticut State University A | 74 | 10 |
| Joyann Hua | British Columbia B | Washington State | 74 | 10 |
| Jolie Yeh | Warwick | Cambridge C | 74 | 10 |
| Gregory Stone | ESF | Binghamton C | 74 | 10 |
| Gabriel Nell | Cornell B | Cornell C | 74 | 10 |
| James Headon | Edinburgh A | Edinburgh D | 74 | 10 |
| Michael Shipman | Cambridge D | Birmingham | 74 | 10 |
| James Stadler | Imperial B | Imperial A | 74 | 10 |
| William Berger | Dartmouth C | MIT B | 75 | 10 |
| Liam Henderson | McMaster B | Toronto G | 76 | 10 |
| Justine Hopkins | Liberty C | Liberty B | 76 | 10 |
| Yiwei Jiang | NYU C | George Mason C | 76 | 10 |
| Jonathan Schnipper | Brandeis Mozart | Brown B | 76 | 10 |
| George Matsumura | Washington Chum | Washington Steelhead | 76 | 10 |
| Aleksa Misic | Waterloo B | Guelph A | 76 | 10 |
| Braydon Morefield | George Mason B | Vassar A | 76 | 10 |
| Alex Hestermann | Washington Sockeye | British Columbia A | 76 | 10 |
| Sam Alahi | Illinois Orange | Rose-Hulman A | 76 | 10 |
| Alex Irvine | Sheffield A | Sheffield B | 76 | 10 |
| Rafa Travis | Durham C | Durham A | 78 | 10 |
| Alex Dzurick | William Woods University A | Chicago B | 78 | 10 |
| Wesley Stine | Clemson A | Tennessee A | 79 | 10 |
| Aryan Malhotra | Rutgers C | Rowan | 79 | 10 |
| Coy Mier | Auburn B | Georgia A | 83 | 10 |
| Stella Brown | Washington Masu | Washington Atlantic | 84 | 10 |
| William Erwin | William & Mary B | Liberty A | 92 | 10 |
| Eric Yang | Purdue A | Purdue B | 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 |
| Kenner Bailey | Boston University A | Tufts B | 98 | 10 |
| Sewanth Paudel | Ohio State C | Pittsburgh | 98 | 10 |
| James Carrick-Lawson | Southampton | Cardiff | 98 | 10 |
| Austin Embry | Auburn C | Mississippi State A | 111 | 10 |
| Mason Lambert | JMU A | Duke A | 113 | 10 |
| Yashaswi Jaishy | Iowa B | Indiana B | 113 | 10 |
| Ben Kantsiper | JMU B | Tusculum A | 116 | 10 |
| Nelson Adams-Riley | Sewanne | Clemson B | 116 | 10 |
| Bonham Buchannon | Louisville D | CWRU C | 116 | 10 |
| Elliott Gomes | Dartmouth A | Tufts A | 116 | 10 |
| Helen Neves | Boise State | Washington Coho | 116 | 10 |
| Grace Early | Iowa A | Illinois Champaign | 116 | 10 |