What is the 979th prime number?
The 979th prime number is 7717. The next prime is 7723 (a gap of 6) and the one before is 7703.
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 979th one is 7717.
- 2
7717 is prime because no prime up to ā7717 ā 87.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 979th prime is close to 979 Ć ln(979) ā 6742, and here it is 7717.
- 4
7717 has no twin: neither 7715 nor 7719 is prime.
Primes around the 979th
| Position | Prime | Gap from the previous |
|---|---|---|
| 976 | 7691 | 4 |
| 977 | 7699 | 8 |
| 978 | 7703 | 4 |
| 979 | 7717 | 14 |
| 980 | 7723 | 6 |
| 981 | 7727 | 4 |
| 982 | 7741 | 14 |
Questions
What is the 979th prime number?
7717.
Which prime number is 7717?
7717 is the 979th prime number.
What is the sum of the first 979 primes?
3,518,602.