What is the 352nd prime number?
The 352nd prime number is 2377. The next prime is 2381 (a gap of 4) and the one before is 2371.
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 352nd one is 2377.
- 2
2377 is prime because no prime up to ā2377 ā 48.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 352nd prime is close to 352 Ć ln(352) ā 2064, and here it is 2377.
- 4
2377 has no twin: neither 2375 nor 2379 is prime.
Primes around the 352nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 349 | 2351 | 4 |
| 350 | 2357 | 6 |
| 351 | 2371 | 14 |
| 352 | 2377 | 6 |
| 353 | 2381 | 4 |
| 354 | 2383 | 2 |
| 355 | 2389 | 6 |
Questions
What is the 352nd prime number?
2377.
Which prime number is 2377?
2377 is the 352nd prime number.
What is the sum of the first 352 primes?
384,415.