What is the 422nd prime number?
The 422nd prime number is 2917. The next prime is 2927 (a gap of 10) and the one before is 2909.
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 422nd one is 2917.
- 2
2917 is prime because no prime up to ā2917 ā 54.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 422nd prime is close to 422 Ć ln(422) ā 2551, and here it is 2917.
- 4
2917 has no twin: neither 2915 nor 2919 is prime.
Primes around the 422nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 419 | 2897 | 10 |
| 420 | 2903 | 6 |
| 421 | 2909 | 6 |
| 422 | 2917 | 8 |
| 423 | 2927 | 10 |
| 424 | 2939 | 12 |
| 425 | 2953 | 14 |
Questions
What is the 422nd prime number?
2917.
Which prime number is 2917?
2917 is the 422nd prime number.
What is the sum of the first 422 primes?
570,145.