What is the 8935th prime number?
The 8935th prime number is 92489. The next prime is 92503 (a gap of 14) and the one before is 92479.
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 8935th one is 92489.
- 2
92489 is prime because no prime up to ā92489 ā 304.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8935th prime is close to 8935 Ć ln(8935) ā 81288, and here it is 92489.
- 4
92489 has no twin: neither 92487 nor 92491 is prime.
Primes around the 8935th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8932 | 92461 | 2 |
| 8933 | 92467 | 6 |
| 8934 | 92479 | 12 |
| 8935 | 92489 | 10 |
| 8936 | 92503 | 14 |
| 8937 | 92507 | 4 |
| 8938 | 92551 | 44 |
Questions
What is the 8935th prime number?
92489.
Which prime number is 92489?
92489 is the 8935th prime number.
What is the sum of the first 8935 primes?
391,184,828.