What is the 3421st prime number?
The 3421st prime number is 31847. The next prime is 31849 (a gap of 2) and the one before is 31817.
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 3421st one is 31847.
- 2
31847 is prime because no prime up to ā31847 ā 178.46 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3421st prime is close to 3421 Ć ln(3421) ā 27839, and here it is 31847.
- 4
31847 is a twin prime: 31847 and 31849 are both prime.
Primes around the 3421st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3418 | 31793 | 22 |
| 3419 | 31799 | 6 |
| 3420 | 31817 | 18 |
| 3421 | 31847 | 30 |
| 3422 | 31849 | 2 |
| 3423 | 31859 | 10 |
| 3424 | 31873 | 14 |
Questions
What is the 3421st prime number?
31847.
Which prime number is 31847?
31847 is the 3421st prime number.
What is the sum of the first 3421 primes?
51,116,458.