What is the 944th prime number?
The 944th prime number is 7457. The next prime is 7459 (a gap of 2) and the one before is 7451.
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 944th one is 7457.
- 2
7457 is prime because no prime up to ā7457 ā 86.35 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 944th prime is close to 944 Ć ln(944) ā 6467, and here it is 7457.
- 4
7457 is a twin prime: 7457 and 7459 are both prime.
Primes around the 944th
| Position | Prime | Gap from the previous |
|---|---|---|
| 941 | 7417 | 6 |
| 942 | 7433 | 16 |
| 943 | 7451 | 18 |
| 944 | 7457 | 6 |
| 945 | 7459 | 2 |
| 946 | 7477 | 18 |
| 947 | 7481 | 4 |
Questions
What is the 944th prime number?
7457.
Which prime number is 7457?
7457 is the 944th prime number.
What is the sum of the first 944 primes?
3,253,145.