What is the 3424th prime number?
The 3424th prime number is 31873. The next prime is 31883 (a gap of 10) and the one before is 31859.
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 3424th one is 31873.
- 2
31873 is prime because no prime up to ā31873 ā 178.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3424th prime is close to 3424 Ć ln(3424) ā 27866, and here it is 31873.
- 4
31873 has no twin: neither 31871 nor 31875 is prime.
Primes around the 3424th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3421 | 31847 | 30 |
| 3422 | 31849 | 2 |
| 3423 | 31859 | 10 |
| 3424 | 31873 | 14 |
| 3425 | 31883 | 10 |
| 3426 | 31891 | 8 |
| 3427 | 31907 | 16 |
Questions
What is the 3424th prime number?
31873.
Which prime number is 31873?
31873 is the 3424th prime number.
What is the sum of the first 3424 primes?
51,212,039.