What is the 3237th prime number?
The 3237th prime number is 29879. The next prime is 29881 (a gap of 2) and the one before is 29873.
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 3237th one is 29879.
- 2
29879 is prime because no prime up to ā29879 ā 172.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3237th prime is close to 3237 Ć ln(3237) ā 26163, and here it is 29879.
- 4
29879 is a twin prime: 29879 and 29881 are both prime.
Primes around the 3237th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3234 | 29863 | 12 |
| 3235 | 29867 | 4 |
| 3236 | 29873 | 6 |
| 3237 | 29879 | 6 |
| 3238 | 29881 | 2 |
| 3239 | 29917 | 36 |
| 3240 | 29921 | 4 |
Questions
What is the 3237th prime number?
29879.
Which prime number is 29879?
29879 is the 3237th prime number.
What is the sum of the first 3237 primes?
45,436,340.