What is the 8380th prime number?
The 8380th prime number is 86197. The next prime is 86201 (a gap of 4) and the one before is 86183.
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 8380th one is 86197.
- 2
86197 is prime because no prime up to ā86197 ā 293.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8380th prime is close to 8380 Ć ln(8380) ā 75702, and here it is 86197.
- 4
86197 has no twin: neither 86195 nor 86199 is prime.
Primes around the 8380th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8377 | 86171 | 10 |
| 8378 | 86179 | 8 |
| 8379 | 86183 | 4 |
| 8380 | 86197 | 14 |
| 8381 | 86201 | 4 |
| 8382 | 86209 | 8 |
| 8383 | 86239 | 30 |
Questions
What is the 8380th prime number?
86197.
Which prime number is 86197?
86197 is the 8380th prime number.
What is the sum of the first 8380 primes?
341,587,715.