What is the 945th prime number?
The 945th prime number is 7459. The next prime is 7477 (a gap of 18) and the one before is 7457.
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 945th one is 7459.
- 2
7459 is prime because no prime up to ā7459 ā 86.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 945th prime is close to 945 Ć ln(945) ā 6474, and here it is 7459.
- 4
7459 is a twin prime: 7457 and 7459 are both prime.
Primes around the 945th
| Position | Prime | Gap from the previous |
|---|---|---|
| 942 | 7433 | 16 |
| 943 | 7451 | 18 |
| 944 | 7457 | 6 |
| 945 | 7459 | 2 |
| 946 | 7477 | 18 |
| 947 | 7481 | 4 |
| 948 | 7487 | 6 |
Questions
What is the 945th prime number?
7459.
Which prime number is 7459?
7459 is the 945th prime number.
What is the sum of the first 945 primes?
3,260,604.