What is the 374th prime number?
The 374th prime number is 2551. The next prime is 2557 (a gap of 6) and the one before is 2549.
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 374th one is 2551.
- 2
2551 is prime because no prime up to ā2551 ā 50.51 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 374th prime is close to 374 Ć ln(374) ā 2216, and here it is 2551.
- 4
2551 is a twin prime: 2549 and 2551 are both prime.
Primes around the 374th
| Position | Prime | Gap from the previous |
|---|---|---|
| 371 | 2539 | 8 |
| 372 | 2543 | 4 |
| 373 | 2549 | 6 |
| 374 | 2551 | 2 |
| 375 | 2557 | 6 |
| 376 | 2579 | 22 |
| 377 | 2591 | 12 |
Questions
What is the 374th prime number?
2551.
Which prime number is 2551?
2551 is the 374th prime number.
What is the sum of the first 374 primes?
438,549.