What is the 8851st prime number?
The 8851st prime number is 91541. The next prime is 91571 (a gap of 30) and the one before is 91529.
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 8851st one is 91541.
- 2
91541 is prime because no prime up to ā91541 ā 302.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8851st prime is close to 8851 Ć ln(8851) ā 80440, and here it is 91541.
- 4
91541 has no twin: neither 91539 nor 91543 is prime.
Primes around the 8851st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8848 | 91499 | 6 |
| 8849 | 91513 | 14 |
| 8850 | 91529 | 16 |
| 8851 | 91541 | 12 |
| 8852 | 91571 | 30 |
| 8853 | 91573 | 2 |
| 8854 | 91577 | 4 |
Questions
What is the 8851st prime number?
91541.
Which prime number is 91541?
91541 is the 8851st prime number.
What is the sum of the first 8851 primes?
383,451,738.