What is the 375th prime number?
The 375th prime number is 2557. The next prime is 2579 (a gap of 22) and the one before is 2551.
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 375th one is 2557.
- 2
2557 is prime because no prime up to ā2557 ā 50.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 375th prime is close to 375 Ć ln(375) ā 2223, and here it is 2557.
- 4
2557 has no twin: neither 2555 nor 2559 is prime.
Primes around the 375th
| Position | Prime | Gap from the previous |
|---|---|---|
| 372 | 2543 | 4 |
| 373 | 2549 | 6 |
| 374 | 2551 | 2 |
| 375 | 2557 | 6 |
| 376 | 2579 | 22 |
| 377 | 2591 | 12 |
| 378 | 2593 | 2 |
Questions
What is the 375th prime number?
2557.
Which prime number is 2557?
2557 is the 375th prime number.
What is the sum of the first 375 primes?
441,106.