What is the 8446th prime number?
The 8446th prime number is 86951. The next prime is 86959 (a gap of 8) and the one before is 86939.
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 8446th one is 86951.
- 2
86951 is prime because no prime up to ā86951 ā 294.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8446th prime is close to 8446 Ć ln(8446) ā 76364, and here it is 86951.
- 4
86951 has no twin: neither 86949 nor 86953 is prime.
Primes around the 8446th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8443 | 86927 | 4 |
| 8444 | 86929 | 2 |
| 8445 | 86939 | 10 |
| 8446 | 86951 | 12 |
| 8447 | 86959 | 8 |
| 8448 | 86969 | 10 |
| 8449 | 86981 | 12 |
Questions
What is the 8446th prime number?
86951.
Which prime number is 86951?
86951 is the 8446th prime number.
What is the sum of the first 8446 primes?
347,299,787.