What is the 3240th prime number?
The 3240th prime number is 29921. The next prime is 29927 (a gap of 6) and the one before is 29917.
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 3240th one is 29921.
- 2
29921 is prime because no prime up to ā29921 ā 172.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3240th prime is close to 3240 Ć ln(3240) ā 26190, and here it is 29921.
- 4
29921 has no twin: neither 29919 nor 29923 is prime.
Primes around the 3240th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3237 | 29879 | 6 |
| 3238 | 29881 | 2 |
| 3239 | 29917 | 36 |
| 3240 | 29921 | 4 |
| 3241 | 29927 | 6 |
| 3242 | 29947 | 20 |
| 3243 | 29959 | 12 |
Questions
What is the 3240th prime number?
29921.
Which prime number is 29921?
29921 is the 3240th prime number.
What is the sum of the first 3240 primes?
45,526,059.