What is the 8856th prime number?
The 8856th prime number is 91591. The next prime is 91621 (a gap of 30) and the one before is 91583.
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 8856th one is 91591.
- 2
91591 is prime because no prime up to ā91591 ā 302.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8856th prime is close to 8856 Ć ln(8856) ā 80491, and here it is 91591.
- 4
91591 has no twin: neither 91589 nor 91593 is prime.
Primes around the 8856th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8853 | 91573 | 2 |
| 8854 | 91577 | 4 |
| 8855 | 91583 | 6 |
| 8856 | 91591 | 8 |
| 8857 | 91621 | 30 |
| 8858 | 91631 | 10 |
| 8859 | 91639 | 8 |
Questions
What is the 8856th prime number?
91591.
Which prime number is 91591?
91591 is the 8856th prime number.
What is the sum of the first 8856 primes?
383,909,633.