What is the 8448th prime number?
The 8448th prime number is 86969. The next prime is 86981 (a gap of 12) and the one before is 86959.
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 8448th one is 86969.
- 2
86969 is prime because no prime up to ā86969 ā 294.91 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8448th prime is close to 8448 Ć ln(8448) ā 76384, and here it is 86969.
- 4
86969 has no twin: neither 86967 nor 86971 is prime.
Primes around the 8448th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8445 | 86939 | 10 |
| 8446 | 86951 | 12 |
| 8447 | 86959 | 8 |
| 8448 | 86969 | 10 |
| 8449 | 86981 | 12 |
| 8450 | 86993 | 12 |
| 8451 | 87011 | 18 |
Questions
What is the 8448th prime number?
86969.
Which prime number is 86969?
86969 is the 8448th prime number.
What is the sum of the first 8448 primes?
347,473,715.