What is the 3238th prime number?
The 3238th prime number is 29881. The next prime is 29917 (a gap of 36) and the one before is 29879.
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 3238th one is 29881.
- 2
29881 is prime because no prime up to ā29881 ā 172.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3238th prime is close to 3238 Ć ln(3238) ā 26172, and here it is 29881.
- 4
29881 is a twin prime: 29879 and 29881 are both prime.
Primes around the 3238th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3235 | 29867 | 4 |
| 3236 | 29873 | 6 |
| 3237 | 29879 | 6 |
| 3238 | 29881 | 2 |
| 3239 | 29917 | 36 |
| 3240 | 29921 | 4 |
| 3241 | 29927 | 6 |
Questions
What is the 3238th prime number?
29881.
Which prime number is 29881?
29881 is the 3238th prime number.
What is the sum of the first 3238 primes?
45,466,221.