What is the 947th prime number?
The 947th prime number is 7481. The next prime is 7487 (a gap of 6) and the one before is 7477.
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 947th one is 7481.
- 2
7481 is prime because no prime up to ā7481 ā 86.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 947th prime is close to 947 Ć ln(947) ā 6490, and here it is 7481.
- 4
7481 has no twin: neither 7479 nor 7483 is prime.
Primes around the 947th
| Position | Prime | Gap from the previous |
|---|---|---|
| 944 | 7457 | 6 |
| 945 | 7459 | 2 |
| 946 | 7477 | 18 |
| 947 | 7481 | 4 |
| 948 | 7487 | 6 |
| 949 | 7489 | 2 |
| 950 | 7499 | 10 |
Questions
What is the 947th prime number?
7481.
Which prime number is 7481?
7481 is the 947th prime number.
What is the sum of the first 947 primes?
3,275,562.