What is the 976th prime number?
The 976th prime number is 7691. The next prime is 7699 (a gap of 8) and the one before is 7687.
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 976th one is 7691.
- 2
7691 is prime because no prime up to ā7691 ā 87.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 976th prime is close to 976 Ć ln(976) ā 6718, and here it is 7691.
- 4
7691 has no twin: neither 7689 nor 7693 is prime.
Primes around the 976th
| Position | Prime | Gap from the previous |
|---|---|---|
| 973 | 7673 | 4 |
| 974 | 7681 | 8 |
| 975 | 7687 | 6 |
| 976 | 7691 | 4 |
| 977 | 7699 | 8 |
| 978 | 7703 | 4 |
| 979 | 7717 | 14 |
Questions
What is the 976th prime number?
7691.
Which prime number is 7691?
7691 is the 976th prime number.
What is the sum of the first 976 primes?
3,495,483.