What is the 3243rd prime number?
The 3243rd prime number is 29959. The next prime is 29983 (a gap of 24) and the one before is 29947.
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 3243rd one is 29959.
- 2
29959 is prime because no prime up to ā29959 ā 173.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3243rd prime is close to 3243 Ć ln(3243) ā 26217, and here it is 29959.
- 4
29959 has no twin: neither 29957 nor 29961 is prime.
Primes around the 3243rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3240 | 29921 | 4 |
| 3241 | 29927 | 6 |
| 3242 | 29947 | 20 |
| 3243 | 29959 | 12 |
| 3244 | 29983 | 24 |
| 3245 | 29989 | 6 |
| 3246 | 30011 | 22 |
Questions
What is the 3243rd prime number?
29959.
Which prime number is 29959?
29959 is the 3243rd prime number.
What is the sum of the first 3243 primes?
45,615,892.