What is the 6923rd prime number?
The 6923rd prime number is 69833. The next prime is 69847 (a gap of 14) and the one before is 69829.
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 6923rd one is 69833.
- 2
69833 is prime because no prime up to ā69833 ā 264.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6923rd prime is close to 6923 Ć ln(6923) ā 61217, and here it is 69833.
- 4
69833 has no twin: neither 69831 nor 69835 is prime.
Primes around the 6923rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6920 | 69821 | 12 |
| 6921 | 69827 | 6 |
| 6922 | 69829 | 2 |
| 6923 | 69833 | 4 |
| 6924 | 69847 | 14 |
| 6925 | 69857 | 10 |
| 6926 | 69859 | 2 |
Questions
What is the 6923rd prime number?
69833.
Which prime number is 69833?
69833 is the 6923rd prime number.
What is the sum of the first 6923 primes?
228,051,420.