What is the 8361st prime number?
The 8361st prime number is 85991. The next prime is 85999 (a gap of 8) and the one before is 85933.
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 8361st one is 85991.
- 2
85991 is prime because no prime up to ā85991 ā 293.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8361st prime is close to 8361 Ć ln(8361) ā 75511, and here it is 85991.
- 4
85991 has no twin: neither 85989 nor 85993 is prime.
Primes around the 8361st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8358 | 85909 | 6 |
| 8359 | 85931 | 22 |
| 8360 | 85933 | 2 |
| 8361 | 85991 | 58 |
| 8362 | 85999 | 8 |
| 8363 | 86011 | 12 |
| 8364 | 86017 | 6 |
Questions
What is the 8361st prime number?
85991.
Which prime number is 85991?
85991 is the 8361st prime number.
What is the sum of the first 8361 primes?
339,951,760.