What is the 6933rd prime number?
The 6933rd prime number is 69959. The next prime is 69991 (a gap of 32) and the one before is 69941.
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 6933rd one is 69959.
- 2
69959 is prime because no prime up to ā69959 ā 264.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6933rd prime is close to 6933 Ć ln(6933) ā 61316, and here it is 69959.
- 4
69959 has no twin: neither 69957 nor 69961 is prime.
Primes around the 6933rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6930 | 69929 | 18 |
| 6931 | 69931 | 2 |
| 6932 | 69941 | 10 |
| 6933 | 69959 | 18 |
| 6934 | 69991 | 32 |
| 6935 | 69997 | 6 |
| 6936 | 70001 | 4 |
Questions
What is the 6933rd prime number?
69959.
Which prime number is 69959?
69959 is the 6933rd prime number.
What is the sum of the first 6933 primes?
228,750,430.