What is the 8857th prime number?
The 8857th prime number is 91621. The next prime is 91631 (a gap of 10) and the one before is 91591.
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 8857th one is 91621.
- 2
91621 is prime because no prime up to ā91621 ā 302.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8857th prime is close to 8857 Ć ln(8857) ā 80501, and here it is 91621.
- 4
91621 has no twin: neither 91619 nor 91623 is prime.
Primes around the 8857th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8854 | 91577 | 4 |
| 8855 | 91583 | 6 |
| 8856 | 91591 | 8 |
| 8857 | 91621 | 30 |
| 8858 | 91631 | 10 |
| 8859 | 91639 | 8 |
| 8860 | 91673 | 34 |
Questions
What is the 8857th prime number?
91621.
Which prime number is 91621?
91621 is the 8857th prime number.
What is the sum of the first 8857 primes?
384,001,254.