What is the 986th prime number?
The 986th prime number is 7789. The next prime is 7793 (a gap of 4) and the one before is 7759.
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 986th one is 7789.
- 2
7789 is prime because no prime up to ā7789 ā 88.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 986th prime is close to 986 Ć ln(986) ā 6797, and here it is 7789.
- 4
7789 has no twin: neither 7787 nor 7791 is prime.
Primes around the 986th
| Position | Prime | Gap from the previous |
|---|---|---|
| 983 | 7753 | 12 |
| 984 | 7757 | 4 |
| 985 | 7759 | 2 |
| 986 | 7789 | 30 |
| 987 | 7793 | 4 |
| 988 | 7817 | 24 |
| 989 | 7823 | 6 |
Questions
What is the 986th prime number?
7789.
Which prime number is 7789?
7789 is the 986th prime number.
What is the sum of the first 986 primes?
3,572,851.