What is the 8444th prime number?
The 8444th prime number is 86929. The next prime is 86939 (a gap of 10) and the one before is 86927.
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 8444th one is 86929.
- 2
86929 is prime because no prime up to ā86929 ā 294.84 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8444th prime is close to 8444 Ć ln(8444) ā 76344, and here it is 86929.
- 4
86929 is a twin prime: 86927 and 86929 are both prime.
Primes around the 8444th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8441 | 86869 | 8 |
| 8442 | 86923 | 54 |
| 8443 | 86927 | 4 |
| 8444 | 86929 | 2 |
| 8445 | 86939 | 10 |
| 8446 | 86951 | 12 |
| 8447 | 86959 | 8 |
Questions
What is the 8444th prime number?
86929.
Which prime number is 86929?
86929 is the 8444th prime number.
What is the sum of the first 8444 primes?
347,125,897.