What is the 8379th prime number?
The 8379th prime number is 86183. The next prime is 86197 (a gap of 14) and the one before is 86179.
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 8379th one is 86183.
- 2
86183 is prime because no prime up to ā86183 ā 293.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8379th prime is close to 8379 Ć ln(8379) ā 75692, and here it is 86183.
- 4
86183 has no twin: neither 86181 nor 86185 is prime.
Primes around the 8379th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8376 | 86161 | 18 |
| 8377 | 86171 | 10 |
| 8378 | 86179 | 8 |
| 8379 | 86183 | 4 |
| 8380 | 86197 | 14 |
| 8381 | 86201 | 4 |
| 8382 | 86209 | 8 |
Questions
What is the 8379th prime number?
86183.
Which prime number is 86183?
86183 is the 8379th prime number.
What is the sum of the first 8379 primes?
341,501,518.