What is the 940th prime number?
The 940th prime number is 7411. The next prime is 7417 (a gap of 6) and the one before is 7393.
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 940th one is 7411.
- 2
7411 is prime because no prime up to ā7411 ā 86.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 940th prime is close to 940 Ć ln(940) ā 6435, and here it is 7411.
- 4
7411 has no twin: neither 7409 nor 7413 is prime.
Primes around the 940th
| Position | Prime | Gap from the previous |
|---|---|---|
| 937 | 7351 | 2 |
| 938 | 7369 | 18 |
| 939 | 7393 | 24 |
| 940 | 7411 | 18 |
| 941 | 7417 | 6 |
| 942 | 7433 | 16 |
| 943 | 7451 | 18 |
Questions
What is the 940th prime number?
7411.
Which prime number is 7411?
7411 is the 940th prime number.
What is the sum of the first 940 primes?
3,223,387.