NEW YORK >> By the Nielsen company’s count, 7.8 million people watched Amazon Prime’s coverage of last Thursday’s NFL game between New Orleans and Arizona. But Amazon says no, there were actually 8.9 million people watching.

So which is it?

You’ll have to judge for yourself. After each of its Thursday night games this season, Amazon has publicly contradicted Nielsen in this manner, one of the boldest challenges ever to a company that for generations has monopolized the count of people watching programs on television.

Neither company is saying the other is wrong, but neither is backing down, either. The result is confusion, most notably for advertisers.

Nielsen, as it has for years, follows the viewing habits in a panel of homes across the country and, from that limited sample, derives an estimate of how many people watch a particular program. That number is currency in the media industry, meaning it is used to determine advertising rates.

Amazon, in the first year of an 11-year contract to stream Thursday night games, says it has an actual count of every one of its subscribers who streams it — not an estimate. The games are also televised in the local markets of the participating teams, about 9% of its total viewership each week, and Amazon uses Nielsen’s estimate for that portion of the total.

“We wouldn’t put out our number if we weren’t comfortable that it was accurate,” said Jay Marine, vice president of Amazon Prime Video and head of its sports department.

Through six weeks, Nielsen says the Thursday night games have averaged 10.3 million viewers. Amazon says the average is 12.1 million. Amazon’s estimate has been bigger than Nielsen’s each week.

“I don’t at all believe that Amazon’s numbers are not right,” said Connie Kim, Nielsen spokeswoman. “And I don’t believe that our numbers are not right.”

Since different methodologies are being used, it’s no surprise that there are differences in the estimate, she said.

“It’s going to take a little time,” Kim said. “As it evolves it should be one number. But we’re not quite there yet.”

For now, ad prices for the Thursday games are set using Nielsen’s numbers. But Amazon clearly has an incentive to let clients know that it believes more people are actually watching.

“You have to remember that this is new — new for Nielsen and it’s the first time there’s been actual data for an event like this,” Marine said.

The dispute has clear implications for the future. Streamers haven’t had much incentive for measurements of daily viewing to be publicized, in part because people don’t watch their shows the same way as broadcast television, and they haven’t needed numbers verified from a third-party source for advertisers.

But with Netflix about to introduce advertising, that can all change very rapidly. And if other companies develop technology that can measure viewing more precisely, the precedent has now been set for publicly disputing Nielsen’s numbers.

In prime time last week, NBC was the top-rated network, averaging 5.1 million viewers. CBS had 4.7 million, Fox had 4 million, ABC had 3 million, Univision had 1.4 million, Ion Television had 950,000 and Telemundo had 880,000.

TBS was the most-watched cable network, averaging 2.85 million viewers in prime time. ESPN had 2.68 million, Fox News Channel had 2.26 million, MSNBC had 1.09 million and TNT had 1.05 million.

ABC’s “World News Tonight” won the evening news ratings race, averaging 7.7 million viewers, NBC’s “Nightly News” had 6.5 million and the “CBS Evening News” had 4.7 million.

Here are the 20 most popular shows on prime-time television for the week of Oct. 17-23, their networks and viewerships:

1. NFL Football: Pittsburgh and Miami, NBC, 15.53 million.

2. “NFL Pregame” (Sunday), NBC, 13.09 million.

3. NFL Football: Seattle at L.A. Chargers, Fox, 12.81 million.

4. “The OT,” Fox, 9.88 milllion.

5. “Football Night in America,” NBC, 9.53 million.

6. “60 Minutes,” CBS, 7.97 million.

7. “FBI,” CBS, 7.11 million.

8. “Chicago Fire,” NBC, 7.05 million.

9. “NCIS,” CBS, 6.91 million.

10. “The Equalizer,” CBS, 6.9 million.

11. “Chicago Med,” NBC, 6.88 million.

12. “Young Sheldon,” CBS, 6.8 million.

13. “The Voice” (Monday), NBC, 6.23 million.

14. “The Voice” (Tuesday), NBC, 6.13 million.

15. “FBI: International,” CBS, 6.09 million.

16. “Ghosts,” CBS, 6.08 million.

17. “Blue Bloods,” CBS, 5.91 million.

18. Baseball: NLCS, San Diego at Philadelphia, Fox, 5.74 million.

19. “Chicago PD,” NBC, 5.58 million.

20. “The Neighborhood,” CBS, 5.51 million.