What is the 942nd prime number?
The 942nd prime number is 7433. The next prime is 7451 (a gap of 18) and the one before is 7417.
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 942nd one is 7433.
- 2
7433 is prime because no prime up to ā7433 ā 86.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 942nd prime is close to 942 Ć ln(942) ā 6451, and here it is 7433.
- 4
7433 has no twin: neither 7431 nor 7435 is prime.
Primes around the 942nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 939 | 7393 | 24 |
| 940 | 7411 | 18 |
| 941 | 7417 | 6 |
| 942 | 7433 | 16 |
| 943 | 7451 | 18 |
| 944 | 7457 | 6 |
| 945 | 7459 | 2 |
Questions
What is the 942nd prime number?
7433.
Which prime number is 7433?
7433 is the 942nd prime number.
What is the sum of the first 942 primes?
3,238,237.