What is the 8678th prime number?
The 8678th prime number is 89603. The next prime is 89611 (a gap of 8) and the one before is 89599.
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 8678th one is 89603.
- 2
89603 is prime because no prime up to ā89603 ā 299.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8678th prime is close to 8678 Ć ln(8678) ā 78697, and here it is 89603.
- 4
89603 has no twin: neither 89601 nor 89605 is prime.
Primes around the 8678th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8675 | 89591 | 24 |
| 8676 | 89597 | 6 |
| 8677 | 89599 | 2 |
| 8678 | 89603 | 4 |
| 8679 | 89611 | 8 |
| 8680 | 89627 | 16 |
| 8681 | 89633 | 6 |
Questions
What is the 8678th prime number?
89603.
Which prime number is 89603?
89603 is the 8678th prime number.
What is the sum of the first 8678 primes?
367,784,043.