What is the 981st prime number?
The 981st prime number is 7727. The next prime is 7741 (a gap of 14) and the one before is 7723.
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 981st one is 7727.
- 2
7727 is prime because no prime up to ā7727 ā 87.90 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 981st prime is close to 981 Ć ln(981) ā 6758, and here it is 7727.
- 4
7727 has no twin: neither 7725 nor 7729 is prime.
Primes around the 981st
| Position | Prime | Gap from the previous |
|---|---|---|
| 978 | 7703 | 4 |
| 979 | 7717 | 14 |
| 980 | 7723 | 6 |
| 981 | 7727 | 4 |
| 982 | 7741 | 14 |
| 983 | 7753 | 12 |
| 984 | 7757 | 4 |
Questions
What is the 981st prime number?
7727.
Which prime number is 7727?
7727 is the 981st prime number.
What is the sum of the first 981 primes?
3,534,052.