What is the 372nd prime number?
The 372nd prime number is 2543. The next prime is 2549 (a gap of 6) and the one before is 2539.
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 372nd one is 2543.
- 2
2543 is prime because no prime up to ā2543 ā 50.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 372nd prime is close to 372 Ć ln(372) ā 2202, and here it is 2543.
- 4
2543 has no twin: neither 2541 nor 2545 is prime.
Primes around the 372nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 369 | 2521 | 18 |
| 370 | 2531 | 10 |
| 371 | 2539 | 8 |
| 372 | 2543 | 4 |
| 373 | 2549 | 6 |
| 374 | 2551 | 2 |
| 375 | 2557 | 6 |
Questions
What is the 372nd prime number?
2543.
Which prime number is 2543?
2543 is the 372nd prime number.
What is the sum of the first 372 primes?
433,449.