What is the 8748th prime number?
The 8748th prime number is 90359. The next prime is 90371 (a gap of 12) and the one before is 90353.
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 8748th one is 90359.
- 2
90359 is prime because no prime up to ā90359 ā 300.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8748th prime is close to 8748 Ć ln(8748) ā 79402, and here it is 90359.
- 4
90359 has no twin: neither 90357 nor 90361 is prime.
Primes around the 8748th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8745 | 90289 | 8 |
| 8746 | 90313 | 24 |
| 8747 | 90353 | 40 |
| 8748 | 90359 | 6 |
| 8749 | 90371 | 12 |
| 8750 | 90373 | 2 |
| 8751 | 90379 | 6 |
Questions
What is the 8748th prime number?
90359.
Which prime number is 90359?
90359 is the 8748th prime number.
What is the sum of the first 8748 primes?
374,082,711.