What is the 6940th prime number?
The 6940th prime number is 70039. The next prime is 70051 (a gap of 12) and the one before is 70019.
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 6940th one is 70039.
- 2
70039 is prime because no prime up to ā70039 ā 264.65 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6940th prime is close to 6940 Ć ln(6940) ā 61385, and here it is 70039.
- 4
70039 has no twin: neither 70037 nor 70041 is prime.
Primes around the 6940th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6937 | 70003 | 2 |
| 6938 | 70009 | 6 |
| 6939 | 70019 | 10 |
| 6940 | 70039 | 20 |
| 6941 | 70051 | 12 |
| 6942 | 70061 | 10 |
| 6943 | 70067 | 6 |
Questions
What is the 6940th prime number?
70039.
Which prime number is 70039?
70039 is the 6940th prime number.
What is the sum of the first 6940 primes?
229,240,489.