What is the 8371st prime number?
The 8371st prime number is 86113. The next prime is 86117 (a gap of 4) and the one before is 86111.
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 8371st one is 86113.
- 2
86113 is prime because no prime up to ā86113 ā 293.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8371st prime is close to 8371 Ć ln(8371) ā 75611, and here it is 86113.
- 4
86113 is a twin prime: 86111 and 86113 are both prime.
Primes around the 8371st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8368 | 86077 | 8 |
| 8369 | 86083 | 6 |
| 8370 | 86111 | 28 |
| 8371 | 86113 | 2 |
| 8372 | 86117 | 4 |
| 8373 | 86131 | 14 |
| 8374 | 86137 | 6 |
Questions
What is the 8371st prime number?
86113.
Which prime number is 86113?
86113 is the 8371st prime number.
What is the sum of the first 8371 primes?
340,812,296.