What is the 999th prime number?
The 999th prime number is 7907. The next prime is 7919 (a gap of 12) and the one before is 7901.
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 999th one is 7907.
- 2
7907 is prime because no prime up to ā7907 ā 88.92 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 999th prime is close to 999 Ć ln(999) ā 6900, and here it is 7907.
- 4
7907 has no twin: neither 7905 nor 7909 is prime.
Primes around the 999th
| Position | Prime | Gap from the previous |
|---|---|---|
| 996 | 7879 | 2 |
| 997 | 7883 | 4 |
| 998 | 7901 | 18 |
| 999 | 7907 | 6 |
| 1000 | 7919 | 12 |
| 1001 | 7927 | 8 |
| 1002 | 7933 | 6 |
Questions
What is the 999th prime number?
7907.
Which prime number is 7907?
7907 is the 999th prime number.
What is the sum of the first 999 primes?
3,674,994.