What is the 8850th prime number?
The 8850th prime number is 91529. The next prime is 91541 (a gap of 12) and the one before is 91513.
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 8850th one is 91529.
- 2
91529 is prime because no prime up to ā91529 ā 302.54 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8850th prime is close to 8850 Ć ln(8850) ā 80430, and here it is 91529.
- 4
91529 has no twin: neither 91527 nor 91531 is prime.
Primes around the 8850th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8847 | 91493 | 30 |
| 8848 | 91499 | 6 |
| 8849 | 91513 | 14 |
| 8850 | 91529 | 16 |
| 8851 | 91541 | 12 |
| 8852 | 91571 | 30 |
| 8853 | 91573 | 2 |
Questions
What is the 8850th prime number?
91529.
Which prime number is 91529?
91529 is the 8850th prime number.
What is the sum of the first 8850 primes?
383,360,197.