What is the 985th prime number?
The 985th prime number is 7759. The next prime is 7789 (a gap of 30) and the one before is 7757.
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 985th one is 7759.
- 2
7759 is prime because no prime up to ā7759 ā 88.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 985th prime is close to 985 Ć ln(985) ā 6789, and here it is 7759.
- 4
7759 is a twin prime: 7757 and 7759 are both prime.
Primes around the 985th
| Position | Prime | Gap from the previous |
|---|---|---|
| 982 | 7741 | 14 |
| 983 | 7753 | 12 |
| 984 | 7757 | 4 |
| 985 | 7759 | 2 |
| 986 | 7789 | 30 |
| 987 | 7793 | 4 |
| 988 | 7817 | 24 |
Questions
What is the 985th prime number?
7759.
Which prime number is 7759?
7759 is the 985th prime number.
What is the sum of the first 985 primes?
3,565,062.