What is the 8858th prime number?
The 8858th prime number is 91631. The next prime is 91639 (a gap of 8) and the one before is 91621.
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 8858th one is 91631.
- 2
91631 is prime because no prime up to ā91631 ā 302.71 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8858th prime is close to 8858 Ć ln(8858) ā 80511, and here it is 91631.
- 4
91631 has no twin: neither 91629 nor 91633 is prime.
Primes around the 8858th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8855 | 91583 | 6 |
| 8856 | 91591 | 8 |
| 8857 | 91621 | 30 |
| 8858 | 91631 | 10 |
| 8859 | 91639 | 8 |
| 8860 | 91673 | 34 |
| 8861 | 91691 | 18 |
Questions
What is the 8858th prime number?
91631.
Which prime number is 91631?
91631 is the 8858th prime number.
What is the sum of the first 8858 primes?
384,092,885.