What is the 8447th prime number?
The 8447th prime number is 86959. The next prime is 86969 (a gap of 10) and the one before is 86951.
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 8447th one is 86959.
- 2
86959 is prime because no prime up to ā86959 ā 294.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8447th prime is close to 8447 Ć ln(8447) ā 76374, and here it is 86959.
- 4
86959 has no twin: neither 86957 nor 86961 is prime.
Primes around the 8447th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8444 | 86929 | 2 |
| 8445 | 86939 | 10 |
| 8446 | 86951 | 12 |
| 8447 | 86959 | 8 |
| 8448 | 86969 | 10 |
| 8449 | 86981 | 12 |
| 8450 | 86993 | 12 |
Questions
What is the 8447th prime number?
86959.
Which prime number is 86959?
86959 is the 8447th prime number.
What is the sum of the first 8447 primes?
347,386,746.