What is the 8681st prime number?
The 8681st prime number is 89633. The next prime is 89653 (a gap of 20) and the one before is 89627.
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 8681st one is 89633.
- 2
89633 is prime because no prime up to ā89633 ā 299.39 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8681st prime is close to 8681 Ć ln(8681) ā 78727, and here it is 89633.
- 4
89633 has no twin: neither 89631 nor 89635 is prime.
Primes around the 8681st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8678 | 89603 | 4 |
| 8679 | 89611 | 8 |
| 8680 | 89627 | 16 |
| 8681 | 89633 | 6 |
| 8682 | 89653 | 20 |
| 8683 | 89657 | 4 |
| 8684 | 89659 | 2 |
Questions
What is the 8681st prime number?
89633.
Which prime number is 89633?
89633 is the 8681st prime number.
What is the sum of the first 8681 primes?
368,052,914.