What is the 946th prime number?
The 946th prime number is 7477. The next prime is 7481 (a gap of 4) and the one before is 7459.
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 946th one is 7477.
- 2
7477 is prime because no prime up to ā7477 ā 86.47 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 946th prime is close to 946 Ć ln(946) ā 6482, and here it is 7477.
- 4
7477 has no twin: neither 7475 nor 7479 is prime.
Primes around the 946th
| Position | Prime | Gap from the previous |
|---|---|---|
| 943 | 7451 | 18 |
| 944 | 7457 | 6 |
| 945 | 7459 | 2 |
| 946 | 7477 | 18 |
| 947 | 7481 | 4 |
| 948 | 7487 | 6 |
| 949 | 7489 | 2 |
Questions
What is the 946th prime number?
7477.
Which prime number is 7477?
7477 is the 946th prime number.
What is the sum of the first 946 primes?
3,268,081.