What is the 943rd prime number?
The 943rd prime number is 7451. The next prime is 7457 (a gap of 6) and the one before is 7433.
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 943rd one is 7451.
- 2
7451 is prime because no prime up to ā7451 ā 86.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 943rd prime is close to 943 Ć ln(943) ā 6459, and here it is 7451.
- 4
7451 has no twin: neither 7449 nor 7453 is prime.
Primes around the 943rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 940 | 7411 | 18 |
| 941 | 7417 | 6 |
| 942 | 7433 | 16 |
| 943 | 7451 | 18 |
| 944 | 7457 | 6 |
| 945 | 7459 | 2 |
| 946 | 7477 | 18 |
Questions
What is the 943rd prime number?
7451.
Which prime number is 7451?
7451 is the 943rd prime number.
What is the sum of the first 943 primes?
3,245,688.