What is the 974th prime number?
The 974th prime number is 7681. The next prime is 7687 (a gap of 6) and the one before is 7673.
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 974th one is 7681.
- 2
7681 is prime because no prime up to ā7681 ā 87.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 974th prime is close to 974 Ć ln(974) ā 6702, and here it is 7681.
- 4
7681 has no twin: neither 7679 nor 7683 is prime.
Primes around the 974th
| Position | Prime | Gap from the previous |
|---|---|---|
| 971 | 7649 | 6 |
| 972 | 7669 | 20 |
| 973 | 7673 | 4 |
| 974 | 7681 | 8 |
| 975 | 7687 | 6 |
| 976 | 7691 | 4 |
| 977 | 7699 | 8 |
Questions
What is the 974th prime number?
7681.
Which prime number is 7681?
7681 is the 974th prime number.
What is the sum of the first 974 primes?
3,480,105.