What is the 8859th prime number?
The 8859th prime number is 91639. The next prime is 91673 (a gap of 34) and the one before is 91631.
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 8859th one is 91639.
- 2
91639 is prime because no prime up to ā91639 ā 302.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8859th prime is close to 8859 Ć ln(8859) ā 80521, and here it is 91639.
- 4
91639 has no twin: neither 91637 nor 91641 is prime.
Primes around the 8859th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8856 | 91591 | 8 |
| 8857 | 91621 | 30 |
| 8858 | 91631 | 10 |
| 8859 | 91639 | 8 |
| 8860 | 91673 | 34 |
| 8861 | 91691 | 18 |
| 8862 | 91703 | 12 |
Questions
What is the 8859th prime number?
91639.
Which prime number is 91639?
91639 is the 8859th prime number.
What is the sum of the first 8859 primes?
384,184,524.