What is the 8855th prime number?
The 8855th prime number is 91583. The next prime is 91591 (a gap of 8) and the one before is 91577.
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 8855th one is 91583.
- 2
91583 is prime because no prime up to ā91583 ā 302.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8855th prime is close to 8855 Ć ln(8855) ā 80481, and here it is 91583.
- 4
91583 has no twin: neither 91581 nor 91585 is prime.
Primes around the 8855th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8852 | 91571 | 30 |
| 8853 | 91573 | 2 |
| 8854 | 91577 | 4 |
| 8855 | 91583 | 6 |
| 8856 | 91591 | 8 |
| 8857 | 91621 | 30 |
| 8858 | 91631 | 10 |
Questions
What is the 8855th prime number?
91583.
Which prime number is 91583?
91583 is the 8855th prime number.
What is the sum of the first 8855 primes?
383,818,042.