What is the 373rd prime number?
The 373rd prime number is 2549. The next prime is 2551 (a gap of 2) and the one before is 2543.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 373rd one is 2549.
- 2
2549 is prime because no prime up to ā2549 ā 50.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 373rd prime is close to 373 Ć ln(373) ā 2209, and here it is 2549.
- 4
2549 is a twin prime: 2549 and 2551 are both prime.
Primes around the 373rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 370 | 2531 | 10 |
| 371 | 2539 | 8 |
| 372 | 2543 | 4 |
| 373 | 2549 | 6 |
| 374 | 2551 | 2 |
| 375 | 2557 | 6 |
| 376 | 2579 | 22 |
Questions
What is the 373rd prime number?
2549.
Which prime number is 2549?
2549 is the 373rd prime number.
What is the sum of the first 373 primes?
435,998.