What is the 6943rd prime number?
The 6943rd prime number is 70067. The next prime is 70079 (a gap of 12) and the one before is 70061.
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 6943rd one is 70067.
- 2
70067 is prime because no prime up to ā70067 ā 264.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6943rd prime is close to 6943 Ć ln(6943) ā 61414, and here it is 70067.
- 4
70067 has no twin: neither 70065 nor 70069 is prime.
Primes around the 6943rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6940 | 70039 | 20 |
| 6941 | 70051 | 12 |
| 6942 | 70061 | 10 |
| 6943 | 70067 | 6 |
| 6944 | 70079 | 12 |
| 6945 | 70099 | 20 |
| 6946 | 70111 | 12 |
Questions
What is the 6943rd prime number?
70067.
Which prime number is 70067?
70067 is the 6943rd prime number.
What is the sum of the first 6943 primes?
229,450,668.