What is the 3352nd prime number?
The 3352nd prime number is 31123. The next prime is 31139 (a gap of 16) and the one before is 31121.
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 3352nd one is 31123.
- 2
31123 is prime because no prime up to ā31123 ā 176.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3352nd prime is close to 3352 Ć ln(3352) ā 27209, and here it is 31123.
- 4
31123 is a twin prime: 31121 and 31123 are both prime.
Primes around the 3352nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3349 | 31081 | 2 |
| 3350 | 31091 | 10 |
| 3351 | 31121 | 30 |
| 3352 | 31123 | 2 |
| 3353 | 31139 | 16 |
| 3354 | 31147 | 8 |
| 3355 | 31151 | 4 |
Questions
What is the 3352nd prime number?
31123.
Which prime number is 31123?
31123 is the 3352nd prime number.
What is the sum of the first 3352 primes?
48,945,775.