What is the 977th prime number?
The 977th prime number is 7699. The next prime is 7703 (a gap of 4) and the one before is 7691.
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 977th one is 7699.
- 2
7699 is prime because no prime up to ā7699 ā 87.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 977th prime is close to 977 Ć ln(977) ā 6726, and here it is 7699.
- 4
7699 has no twin: neither 7697 nor 7701 is prime.
Primes around the 977th
| Position | Prime | Gap from the previous |
|---|---|---|
| 974 | 7681 | 8 |
| 975 | 7687 | 6 |
| 976 | 7691 | 4 |
| 977 | 7699 | 8 |
| 978 | 7703 | 4 |
| 979 | 7717 | 14 |
| 980 | 7723 | 6 |
Questions
What is the 977th prime number?
7699.
Which prime number is 7699?
7699 is the 977th prime number.
What is the sum of the first 977 primes?
3,503,182.