What is the 3374th prime number?
The 3374th prime number is 31307. The next prime is 31319 (a gap of 12) and the one before is 31277.
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 3374th one is 31307.
- 2
31307 is prime because no prime up to ā31307 ā 176.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3374th prime is close to 3374 Ć ln(3374) ā 27410, and here it is 31307.
- 4
31307 has no twin: neither 31305 nor 31309 is prime.
Primes around the 3374th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3371 | 31267 | 8 |
| 3372 | 31271 | 4 |
| 3373 | 31277 | 6 |
| 3374 | 31307 | 30 |
| 3375 | 31319 | 12 |
| 3376 | 31321 | 2 |
| 3377 | 31327 | 6 |
Questions
What is the 3374th prime number?
31307.
Which prime number is 31307?
31307 is the 3374th prime number.
What is the sum of the first 3374 primes?
49,632,487.