What is the 984th prime number?
The 984th prime number is 7757. The next prime is 7759 (a gap of 2) and the one before is 7753.
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 984th one is 7757.
- 2
7757 is prime because no prime up to ā7757 ā 88.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 984th prime is close to 984 Ć ln(984) ā 6781, and here it is 7757.
- 4
7757 is a twin prime: 7757 and 7759 are both prime.
Primes around the 984th
| Position | Prime | Gap from the previous |
|---|---|---|
| 981 | 7727 | 4 |
| 982 | 7741 | 14 |
| 983 | 7753 | 12 |
| 984 | 7757 | 4 |
| 985 | 7759 | 2 |
| 986 | 7789 | 30 |
| 987 | 7793 | 4 |
Questions
What is the 984th prime number?
7757.
Which prime number is 7757?
7757 is the 984th prime number.
What is the sum of the first 984 primes?
3,557,303.