What is the 990th prime number?
The 990th prime number is 7829. The next prime is 7841 (a gap of 12) and the one before is 7823.
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 990th one is 7829.
- 2
7829 is prime because no prime up to ā7829 ā 88.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 990th prime is close to 990 Ć ln(990) ā 6829, and here it is 7829.
- 4
7829 has no twin: neither 7827 nor 7831 is prime.
Primes around the 990th
| Position | Prime | Gap from the previous |
|---|---|---|
| 987 | 7793 | 4 |
| 988 | 7817 | 24 |
| 989 | 7823 | 6 |
| 990 | 7829 | 6 |
| 991 | 7841 | 12 |
| 992 | 7853 | 12 |
| 993 | 7867 | 14 |
Questions
What is the 990th prime number?
7829.
Which prime number is 7829?
7829 is the 990th prime number.
What is the sum of the first 990 primes?
3,604,113.