What is the 8591st prime number?
The 8591st prime number is 88681. The next prime is 88721 (a gap of 40) and the one before is 88667.
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 8591st one is 88681.
- 2
88681 is prime because no prime up to ā88681 ā 297.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8591st prime is close to 8591 Ć ln(8591) ā 77821, and here it is 88681.
- 4
88681 has no twin: neither 88679 nor 88683 is prime.
Primes around the 8591st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8588 | 88661 | 4 |
| 8589 | 88663 | 2 |
| 8590 | 88667 | 4 |
| 8591 | 88681 | 14 |
| 8592 | 88721 | 40 |
| 8593 | 88729 | 8 |
| 8594 | 88741 | 12 |
Questions
What is the 8591st prime number?
88681.
Which prime number is 88681?
88681 is the 8591st prime number.
What is the sum of the first 8591 primes?
360,027,354.