What is the 930th prime number?
The 930th prime number is 7297. The next prime is 7307 (a gap of 10) and the one before is 7283.
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 930th one is 7297.
- 2
7297 is prime because no prime up to ā7297 ā 85.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 930th prime is close to 930 Ć ln(930) ā 6357, and here it is 7297.
- 4
7297 has no twin: neither 7295 nor 7299 is prime.
Primes around the 930th
| Position | Prime | Gap from the previous |
|---|---|---|
| 927 | 7247 | 4 |
| 928 | 7253 | 6 |
| 929 | 7283 | 30 |
| 930 | 7297 | 14 |
| 931 | 7307 | 10 |
| 932 | 7309 | 2 |
| 933 | 7321 | 12 |
Questions
What is the 930th prime number?
7297.
Which prime number is 7297?
7297 is the 930th prime number.
What is the sum of the first 930 primes?
3,149,913.