What is the 975th prime number?
The 975th prime number is 7687. The next prime is 7691 (a gap of 4) and the one before is 7681.
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 975th one is 7687.
- 2
7687 is prime because no prime up to ā7687 ā 87.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 975th prime is close to 975 Ć ln(975) ā 6710, and here it is 7687.
- 4
7687 has no twin: neither 7685 nor 7689 is prime.
Primes around the 975th
| Position | Prime | Gap from the previous |
|---|---|---|
| 972 | 7669 | 20 |
| 973 | 7673 | 4 |
| 974 | 7681 | 8 |
| 975 | 7687 | 6 |
| 976 | 7691 | 4 |
| 977 | 7699 | 8 |
| 978 | 7703 | 4 |
Questions
What is the 975th prime number?
7687.
Which prime number is 7687?
7687 is the 975th prime number.
What is the sum of the first 975 primes?
3,487,792.