What is the 988th prime number?
The 988th prime number is 7817. The next prime is 7823 (a gap of 6) and the one before is 7793.
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 988th one is 7817.
- 2
7817 is prime because no prime up to ā7817 ā 88.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 988th prime is close to 988 Ć ln(988) ā 6813, and here it is 7817.
- 4
7817 has no twin: neither 7815 nor 7819 is prime.
Primes around the 988th
| Position | Prime | Gap from the previous |
|---|---|---|
| 985 | 7759 | 2 |
| 986 | 7789 | 30 |
| 987 | 7793 | 4 |
| 988 | 7817 | 24 |
| 989 | 7823 | 6 |
| 990 | 7829 | 6 |
| 991 | 7841 | 12 |
Questions
What is the 988th prime number?
7817.
Which prime number is 7817?
7817 is the 988th prime number.
What is the sum of the first 988 primes?
3,588,461.