What is the 8372nd prime number?
The 8372nd prime number is 86117. The next prime is 86131 (a gap of 14) and the one before is 86113.
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 8372nd one is 86117.
- 2
86117 is prime because no prime up to ā86117 ā 293.46 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8372nd prime is close to 8372 Ć ln(8372) ā 75621, and here it is 86117.
- 4
86117 has no twin: neither 86115 nor 86119 is prime.
Primes around the 8372nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8369 | 86083 | 6 |
| 8370 | 86111 | 28 |
| 8371 | 86113 | 2 |
| 8372 | 86117 | 4 |
| 8373 | 86131 | 14 |
| 8374 | 86137 | 6 |
| 8375 | 86143 | 6 |
Questions
What is the 8372nd prime number?
86117.
Which prime number is 86117?
86117 is the 8372nd prime number.
What is the sum of the first 8372 primes?
340,898,413.