What is the 8747th prime number?
The 8747th prime number is 90353. The next prime is 90359 (a gap of 6) and the one before is 90313.
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 8747th one is 90353.
- 2
90353 is prime because no prime up to ā90353 ā 300.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8747th prime is close to 8747 Ć ln(8747) ā 79392, and here it is 90353.
- 4
90353 has no twin: neither 90351 nor 90355 is prime.
Primes around the 8747th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8744 | 90281 | 10 |
| 8745 | 90289 | 8 |
| 8746 | 90313 | 24 |
| 8747 | 90353 | 40 |
| 8748 | 90359 | 6 |
| 8749 | 90371 | 12 |
| 8750 | 90373 | 2 |
Questions
What is the 8747th prime number?
90353.
Which prime number is 90353?
90353 is the 8747th prime number.
What is the sum of the first 8747 primes?
373,992,352.