What is the 982nd prime number?
The 982nd prime number is 7741. The next prime is 7753 (a gap of 12) and the one before is 7727.
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 982nd one is 7741.
- 2
7741 is prime because no prime up to ā7741 ā 87.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 982nd prime is close to 982 Ć ln(982) ā 6766, and here it is 7741.
- 4
7741 has no twin: neither 7739 nor 7743 is prime.
Primes around the 982nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 979 | 7717 | 14 |
| 980 | 7723 | 6 |
| 981 | 7727 | 4 |
| 982 | 7741 | 14 |
| 983 | 7753 | 12 |
| 984 | 7757 | 4 |
| 985 | 7759 | 2 |
Questions
What is the 982nd prime number?
7741.
Which prime number is 7741?
7741 is the 982nd prime number.
What is the sum of the first 982 primes?
3,541,793.