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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 |
| Chris Chang | USC A | UC Irvine | 22 | 10 |
| Taran Knutson | Michigan A | Louisville A | 22 | 10 |
| Michael Ai | Williams A | Amherst 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 |
| Michael Zheng | UCLA F | UCLA A | 59 | 10 |
| Joseph Wang | UCLA E | Claremont C | 59 | 10 |
| Andrew Nucci | UCLA B | UCSD B | 59 | 10 |
| Dawson Teu | Waterloo A | Toronto B | 59 | 10 |
| Henry Ding | Princeton | Lehigh B | 59 | 10 |
| David Black | Illinois Champaign | Iowa A | 59 | -5 |
| Jiping Fang | Illinois Blue | WashU Grizzlers | 59 | 10 |
| David Xilbille | Georgia Tech C | Alabama A | 59 | 10 |
| Bharath Ram | Georgia Tech A | Vanderbilt A | 59 | 10 |
| Danny Cutbill | RIT A | Binghamton 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 |
| 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 |
| Peter Zeng | Ohio State A | Michigan C | 72 | 10 |
| Max Kurzman | UNC D | VCU A | 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 |
| Ben Mowery | Vermont A | Brandeis Bach | 72 | 10 |
| Anne Fjeld | Alberta A | Washington Pink | 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 |
| Rory Moloney | Cambridge E | LSE | 72 | 10 |
| Alex Forman | Cornell D | Binghamton B | 72 | 10 |
| Gary Wang | Michigan D | Kentucky | 73 | 10 |
| Pace Klein | CWRU B | Michigan State A | 73 | 10 |
| Brody Johnson | Louisville B | Ohio State B | 73 | 10 |
| Alex Wong | Rutgers D | Stony Brook | 73 | 10 |
| Arthur Zhang | Purdue C | WashU Grolars | 73 | 10 |
| Shivam Saxena | Georgia Tech F | Auburn A | 73 | 10 |
| John Shelley | Clemson B | Sewanne | 73 | -5 |
| Nayaaz Hashim | Oxford | Bristol | 73 | 10 |
| March Delfin | UCSD A | Claremont B | 74 | 10 |
| Matthew Wozniak | Michigan B | CWRU A | 74 | 10 |
| Josue Lopez | WVU A | Louisville C | 74 | 10 |
| Ryan Liu | Ohio State D | Michigan State D | 74 | 10 |
| Kevin Liu | Maryland A | George Mason A | 74 | 10 |
| Eric Morshed | Johns Hopkins | Penn | 74 | 10 |
| Yvonne Pan | Amherst B | Southern Connecticut State University A | 74 | 10 |
| Joyann Hua | British Columbia B | Washington State | 74 | 10 |
| Luke Simon | Alberta B | Washington Chinook | 74 | 10 |
| Kevin Liu | Texas | Arizona State A | 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 |
| Jolie Yeh | Warwick | Cambridge C | 74 | 10 |
| Gabriel Nell | Cornell B | Cornell C | 74 | 10 |
| Gregory Stone | ESF | Binghamton C | 74 | 10 |
| William Berger | Dartmouth C | MIT B | 75 | 10 |
| Aleksa Misic | Waterloo B | Guelph A | 76 | 10 |
| Liam Henderson | McMaster B | Toronto G | 76 | 10 |
| Justine Hopkins | Liberty C | Liberty B | 76 | 10 |
| Braydon Morefield | George Mason B | Vassar A | 76 | 10 |
| Yiwei Jiang | NYU C | George Mason C | 76 | 10 |
| Sam Alahi | Illinois Orange | Rose-Hulman A | 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 |
| 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 |
| 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 |
| Sewanth Paudel | Ohio State C | Pittsburgh | 98 | 10 |
| Kenner Bailey | Boston University A | Tufts B | 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 |
| Bonham Buchannon | Louisville D | CWRU C | 116 | 10 |
| Ben Kantsiper | JMU B | Tusculum A | 116 | 10 |
| Grace Early | Iowa A | Illinois Champaign | 116 | 10 |
| Elliott Gomes | Dartmouth A | Tufts A | 116 | 10 |
| Helen Neves | Boise State | Washington Coho | 116 | 10 |
| Nelson Adams-Riley | Sewanne | Clemson B | 116 | 10 |