What is the 3242nd prime number?
The 3242nd prime number is 29947. The next prime is 29959 (a gap of 12) and the one before is 29927.
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 3242nd one is 29947.
- 2
29947 is prime because no prime up to ā29947 ā 173.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3242nd prime is close to 3242 Ć ln(3242) ā 26208, and here it is 29947.
- 4
29947 has no twin: neither 29945 nor 29949 is prime.
Primes around the 3242nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3239 | 29917 | 36 |
| 3240 | 29921 | 4 |
| 3241 | 29927 | 6 |
| 3242 | 29947 | 20 |
| 3243 | 29959 | 12 |
| 3244 | 29983 | 24 |
| 3245 | 29989 | 6 |
Questions
What is the 3242nd prime number?
29947.
Which prime number is 29947?
29947 is the 3242nd prime number.
What is the sum of the first 3242 primes?
45,585,933.