What is the 9283rd prime number?
The 9283rd prime number is 96377. The next prime is 96401 (a gap of 24) and the one before is 96353.
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 9283rd one is 96377.
- 2
96377 is prime because no prime up to ā96377 ā 310.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9283rd prime is close to 9283 Ć ln(9283) ā 84809, and here it is 96377.
- 4
96377 has no twin: neither 96375 nor 96379 is prime.
Primes around the 9283rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9280 | 96331 | 2 |
| 9281 | 96337 | 6 |
| 9282 | 96353 | 16 |
| 9283 | 96377 | 24 |
| 9284 | 96401 | 24 |
| 9285 | 96419 | 18 |
| 9286 | 96431 | 12 |
Questions
What is the 9283rd prime number?
96377.
Which prime number is 96377?
96377 is the 9283rd prime number.
What is the sum of the first 9283 primes?
424,046,294.