What is the 927th prime number?
The 927th prime number is 7247. The next prime is 7253 (a gap of 6) and the one before is 7243.
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, ⦠The 927th one is 7247.
- 2
7247 is prime because no prime up to ā7247 ā 85.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 927th prime is close to 927 Ć ln(927) ā 6333, and here it is 7247.
- 4
7247 has no twin: neither 7245 nor 7249 is prime.
Primes around the 927th
| Position | Prime | Gap from the previous |
|---|---|---|
| 924 | 7229 | 10 |
| 925 | 7237 | 8 |
| 926 | 7243 | 6 |
| 927 | 7247 | 4 |
| 928 | 7253 | 6 |
| 929 | 7283 | 30 |
| 930 | 7297 | 14 |
Questions
What is the 927th prime number?
7247.
Which prime number is 7247?
7247 is the 927th prime number.
What is the sum of the first 927 primes?
3,128,080.