What is the 928th prime number?
The 928th prime number is 7253. The next prime is 7283 (a gap of 30) and the one before is 7247.
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 928th one is 7253.
- 2
7253 is prime because no prime up to ā7253 ā 85.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 928th prime is close to 928 Ć ln(928) ā 6341, and here it is 7253.
- 4
7253 has no twin: neither 7251 nor 7255 is prime.
Primes around the 928th
| Position | Prime | Gap from the previous |
|---|---|---|
| 925 | 7237 | 8 |
| 926 | 7243 | 6 |
| 927 | 7247 | 4 |
| 928 | 7253 | 6 |
| 929 | 7283 | 30 |
| 930 | 7297 | 14 |
| 931 | 7307 | 10 |
Questions
What is the 928th prime number?
7253.
Which prime number is 7253?
7253 is the 928th prime number.
What is the sum of the first 928 primes?
3,135,333.