What is the 980th prime number?
The 980th prime number is 7723. The next prime is 7727 (a gap of 4) and the one before is 7717.
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 980th one is 7723.
- 2
7723 is prime because no prime up to ā7723 ā 87.88 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 980th prime is close to 980 Ć ln(980) ā 6750, and here it is 7723.
- 4
7723 has no twin: neither 7721 nor 7725 is prime.
Primes around the 980th
| Position | Prime | Gap from the previous |
|---|---|---|
| 977 | 7699 | 8 |
| 978 | 7703 | 4 |
| 979 | 7717 | 14 |
| 980 | 7723 | 6 |
| 981 | 7727 | 4 |
| 982 | 7741 | 14 |
| 983 | 7753 | 12 |
Questions
What is the 980th prime number?
7723.
Which prime number is 7723?
7723 is the 980th prime number.
What is the sum of the first 980 primes?
3,526,325.