What is the 424th prime number?
The 424th prime number is 2939. The next prime is 2953 (a gap of 14) and the one before is 2927.
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 424th one is 2939.
- 2
2939 is prime because no prime up to ā2939 ā 54.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 424th prime is close to 424 Ć ln(424) ā 2565, and here it is 2939.
- 4
2939 has no twin: neither 2937 nor 2941 is prime.
Primes around the 424th
| Position | Prime | Gap from the previous |
|---|---|---|
| 421 | 2909 | 6 |
| 422 | 2917 | 8 |
| 423 | 2927 | 10 |
| 424 | 2939 | 12 |
| 425 | 2953 | 14 |
| 426 | 2957 | 4 |
| 427 | 2963 | 6 |
Questions
What is the 424th prime number?
2939.
Which prime number is 2939?
2939 is the 424th prime number.
What is the sum of the first 424 primes?
576,011.