What is the 3377th prime number?
The 3377th prime number is 31327. The next prime is 31333 (a gap of 6) and the one before is 31321.
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 3377th one is 31327.
- 2
31327 is prime because no prime up to ā31327 ā 176.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3377th prime is close to 3377 Ć ln(3377) ā 27437, and here it is 31327.
- 4
31327 has no twin: neither 31325 nor 31329 is prime.
Primes around the 3377th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3374 | 31307 | 30 |
| 3375 | 31319 | 12 |
| 3376 | 31321 | 2 |
| 3377 | 31327 | 6 |
| 3378 | 31333 | 6 |
| 3379 | 31337 | 4 |
| 3380 | 31357 | 20 |
Questions
What is the 3377th prime number?
31327.
Which prime number is 31327?
31327 is the 3377th prime number.
What is the sum of the first 3377 primes?
49,726,454.