What is the 8442nd prime number?
The 8442nd prime number is 86923. The next prime is 86927 (a gap of 4) and the one before is 86869.
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 8442nd one is 86923.
- 2
86923 is prime because no prime up to ā86923 ā 294.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8442nd prime is close to 8442 Ć ln(8442) ā 76324, and here it is 86923.
- 4
86923 has no twin: neither 86921 nor 86925 is prime.
Primes around the 8442nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8439 | 86857 | 6 |
| 8440 | 86861 | 4 |
| 8441 | 86869 | 8 |
| 8442 | 86923 | 54 |
| 8443 | 86927 | 4 |
| 8444 | 86929 | 2 |
| 8445 | 86939 | 10 |
Questions
What is the 8442nd prime number?
86923.
Which prime number is 86923?
86923 is the 8442nd prime number.
What is the sum of the first 8442 primes?
346,952,041.