What is the 989th prime number?
The 989th prime number is 7823. The next prime is 7829 (a gap of 6) and the one before is 7817.
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 989th one is 7823.
- 2
7823 is prime because no prime up to ā7823 ā 88.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 989th prime is close to 989 Ć ln(989) ā 6821, and here it is 7823.
- 4
7823 has no twin: neither 7821 nor 7825 is prime.
Primes around the 989th
| Position | Prime | Gap from the previous |
|---|---|---|
| 986 | 7789 | 30 |
| 987 | 7793 | 4 |
| 988 | 7817 | 24 |
| 989 | 7823 | 6 |
| 990 | 7829 | 6 |
| 991 | 7841 | 12 |
| 992 | 7853 | 12 |
Questions
What is the 989th prime number?
7823.
Which prime number is 7823?
7823 is the 989th prime number.
What is the sum of the first 989 primes?
3,596,284.