What is the 929th prime number?
The 929th prime number is 7283. The next prime is 7297 (a gap of 14) and the one before is 7253.
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 929th one is 7283.
- 2
7283 is prime because no prime up to ā7283 ā 85.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 929th prime is close to 929 Ć ln(929) ā 6349, and here it is 7283.
- 4
7283 has no twin: neither 7281 nor 7285 is prime.
Primes around the 929th
| Position | Prime | Gap from the previous |
|---|---|---|
| 926 | 7243 | 6 |
| 927 | 7247 | 4 |
| 928 | 7253 | 6 |
| 929 | 7283 | 30 |
| 930 | 7297 | 14 |
| 931 | 7307 | 10 |
| 932 | 7309 | 2 |
Questions
What is the 929th prime number?
7283.
Which prime number is 7283?
7283 is the 929th prime number.
What is the sum of the first 929 primes?
3,142,616.