What is the 8445th prime number?
The 8445th prime number is 86939. The next prime is 86951 (a gap of 12) and the one before is 86929.
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 8445th one is 86939.
- 2
86939 is prime because no prime up to ā86939 ā 294.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8445th prime is close to 8445 Ć ln(8445) ā 76354, and here it is 86939.
- 4
86939 has no twin: neither 86937 nor 86941 is prime.
Primes around the 8445th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8442 | 86923 | 54 |
| 8443 | 86927 | 4 |
| 8444 | 86929 | 2 |
| 8445 | 86939 | 10 |
| 8446 | 86951 | 12 |
| 8447 | 86959 | 8 |
| 8448 | 86969 | 10 |
Questions
What is the 8445th prime number?
86939.
Which prime number is 86939?
86939 is the 8445th prime number.
What is the sum of the first 8445 primes?
347,212,836.