What is the 8848th prime number?
The 8848th prime number is 91499. The next prime is 91513 (a gap of 14) and the one before is 91493.
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 8848th one is 91499.
- 2
91499 is prime because no prime up to ā91499 ā 302.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8848th prime is close to 8848 Ć ln(8848) ā 80410, and here it is 91499.
- 4
91499 has no twin: neither 91497 nor 91501 is prime.
Primes around the 8848th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8845 | 91459 | 2 |
| 8846 | 91463 | 4 |
| 8847 | 91493 | 30 |
| 8848 | 91499 | 6 |
| 8849 | 91513 | 14 |
| 8850 | 91529 | 16 |
| 8851 | 91541 | 12 |
Questions
What is the 8848th prime number?
91499.
Which prime number is 91499?
91499 is the 8848th prime number.
What is the sum of the first 8848 primes?
383,177,155.