What is the 987th prime number?
The 987th prime number is 7793. The next prime is 7817 (a gap of 24) and the one before is 7789.
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 987th one is 7793.
- 2
7793 is prime because no prime up to ā7793 ā 88.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 987th prime is close to 987 Ć ln(987) ā 6805, and here it is 7793.
- 4
7793 has no twin: neither 7791 nor 7795 is prime.
Primes around the 987th
| Position | Prime | Gap from the previous |
|---|---|---|
| 984 | 7757 | 4 |
| 985 | 7759 | 2 |
| 986 | 7789 | 30 |
| 987 | 7793 | 4 |
| 988 | 7817 | 24 |
| 989 | 7823 | 6 |
| 990 | 7829 | 6 |
Questions
What is the 987th prime number?
7793.
Which prime number is 7793?
7793 is the 987th prime number.
What is the sum of the first 987 primes?
3,580,644.