What is the 924th prime number?
The 924th prime number is 7229. The next prime is 7237 (a gap of 8) and the one before is 7219.
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 924th one is 7229.
- 2
7229 is prime because no prime up to ā7229 ā 85.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 924th prime is close to 924 Ć ln(924) ā 6310, and here it is 7229.
- 4
7229 has no twin: neither 7227 nor 7231 is prime.
Primes around the 924th
| Position | Prime | Gap from the previous |
|---|---|---|
| 921 | 7211 | 4 |
| 922 | 7213 | 2 |
| 923 | 7219 | 6 |
| 924 | 7229 | 10 |
| 925 | 7237 | 8 |
| 926 | 7243 | 6 |
| 927 | 7247 | 4 |
Questions
What is the 924th prime number?
7229.
Which prime number is 7229?
7229 is the 924th prime number.
What is the sum of the first 924 primes?
3,106,353.