What is the 948th prime number?
The 948th prime number is 7487. The next prime is 7489 (a gap of 2) and the one before is 7481.
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 948th one is 7487.
- 2
7487 is prime because no prime up to ā7487 ā 86.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 948th prime is close to 948 Ć ln(948) ā 6498, and here it is 7487.
- 4
7487 is a twin prime: 7487 and 7489 are both prime.
Primes around the 948th
| Position | Prime | Gap from the previous |
|---|---|---|
| 945 | 7459 | 2 |
| 946 | 7477 | 18 |
| 947 | 7481 | 4 |
| 948 | 7487 | 6 |
| 949 | 7489 | 2 |
| 950 | 7499 | 10 |
| 951 | 7507 | 8 |
Questions
What is the 948th prime number?
7487.
Which prime number is 7487?
7487 is the 948th prime number.
What is the sum of the first 948 primes?
3,283,049.