What is the 3376th prime number?
The 3376th prime number is 31321. The next prime is 31327 (a gap of 6) and the one before is 31319.
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 3376th one is 31321.
- 2
31321 is prime because no prime up to ā31321 ā 176.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3376th prime is close to 3376 Ć ln(3376) ā 27428, and here it is 31321.
- 4
31321 is a twin prime: 31319 and 31321 are both prime.
Primes around the 3376th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3373 | 31277 | 6 |
| 3374 | 31307 | 30 |
| 3375 | 31319 | 12 |
| 3376 | 31321 | 2 |
| 3377 | 31327 | 6 |
| 3378 | 31333 | 6 |
| 3379 | 31337 | 4 |
Questions
What is the 3376th prime number?
31321.
Which prime number is 31321?
31321 is the 3376th prime number.
What is the sum of the first 3376 primes?
49,695,127.