What is the 8397th prime number?
The 8397th prime number is 86353. The next prime is 86357 (a gap of 4) and the one before is 86351.
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 8397th one is 86353.
- 2
86353 is prime because no prime up to ā86353 ā 293.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8397th prime is close to 8397 Ć ln(8397) ā 75872, and here it is 86353.
- 4
86353 is a twin prime: 86351 and 86353 are both prime.
Primes around the 8397th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8394 | 86323 | 12 |
| 8395 | 86341 | 18 |
| 8396 | 86351 | 10 |
| 8397 | 86353 | 2 |
| 8398 | 86357 | 4 |
| 8399 | 86369 | 12 |
| 8400 | 86371 | 2 |
Questions
What is the 8397th prime number?
86353.
Which prime number is 86353?
86353 is the 8397th prime number.
What is the sum of the first 8397 primes?
343,054,492.