What is the 3350th prime number?
The 3350th prime number is 31091. The next prime is 31121 (a gap of 30) and the one before is 31081.
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 3350th one is 31091.
- 2
31091 is prime because no prime up to ā31091 ā 176.33 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3350th prime is close to 3350 Ć ln(3350) ā 27191, and here it is 31091.
- 4
31091 has no twin: neither 31089 nor 31093 is prime.
Primes around the 3350th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3347 | 31069 | 6 |
| 3348 | 31079 | 10 |
| 3349 | 31081 | 2 |
| 3350 | 31091 | 10 |
| 3351 | 31121 | 30 |
| 3352 | 31123 | 2 |
| 3353 | 31139 | 16 |
Questions
What is the 3350th prime number?
31091.
Which prime number is 31091?
31091 is the 3350th prime number.
What is the sum of the first 3350 primes?
48,883,531.