What is the 3357th prime number?
The 3357th prime number is 31159. The next prime is 31177 (a gap of 18) and the one before is 31153.
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 3357th one is 31159.
- 2
31159 is prime because no prime up to ā31159 ā 176.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3357th prime is close to 3357 Ć ln(3357) ā 27255, and here it is 31159.
- 4
31159 has no twin: neither 31157 nor 31161 is prime.
Primes around the 3357th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3354 | 31147 | 8 |
| 3355 | 31151 | 4 |
| 3356 | 31153 | 2 |
| 3357 | 31159 | 6 |
| 3358 | 31177 | 18 |
| 3359 | 31181 | 4 |
| 3360 | 31183 | 2 |
Questions
What is the 3357th prime number?
31159.
Which prime number is 31159?
31159 is the 3357th prime number.
What is the sum of the first 3357 primes?
49,101,524.