What is the 8680th prime number?
The 8680th prime number is 89627. The next prime is 89633 (a gap of 6) and the one before is 89611.
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 8680th one is 89627.
- 2
89627 is prime because no prime up to ā89627 ā 299.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8680th prime is close to 8680 Ć ln(8680) ā 78717, and here it is 89627.
- 4
89627 has no twin: neither 89625 nor 89629 is prime.
Primes around the 8680th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8677 | 89599 | 2 |
| 8678 | 89603 | 4 |
| 8679 | 89611 | 8 |
| 8680 | 89627 | 16 |
| 8681 | 89633 | 6 |
| 8682 | 89653 | 20 |
| 8683 | 89657 | 4 |
Questions
What is the 8680th prime number?
89627.
Which prime number is 89627?
89627 is the 8680th prime number.
What is the sum of the first 8680 primes?
367,963,281.