What is the 3422nd prime number?
The 3422nd prime number is 31849. The next prime is 31859 (a gap of 10) and the one before is 31847.
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 3422nd one is 31849.
- 2
31849 is prime because no prime up to ā31849 ā 178.46 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3422nd prime is close to 3422 Ć ln(3422) ā 27848, and here it is 31849.
- 4
31849 is a twin prime: 31847 and 31849 are both prime.
Primes around the 3422nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3419 | 31799 | 6 |
| 3420 | 31817 | 18 |
| 3421 | 31847 | 30 |
| 3422 | 31849 | 2 |
| 3423 | 31859 | 10 |
| 3424 | 31873 | 14 |
| 3425 | 31883 | 10 |
Questions
What is the 3422nd prime number?
31849.
Which prime number is 31849?
31849 is the 3422nd prime number.
What is the sum of the first 3422 primes?
51,148,307.