What is the 3236th prime number?
The 3236th prime number is 29873. The next prime is 29879 (a gap of 6) and the one before is 29867.
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 3236th one is 29873.
- 2
29873 is prime because no prime up to ā29873 ā 172.84 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3236th prime is close to 3236 Ć ln(3236) ā 26154, and here it is 29873.
- 4
29873 has no twin: neither 29871 nor 29875 is prime.
Primes around the 3236th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3233 | 29851 | 14 |
| 3234 | 29863 | 12 |
| 3235 | 29867 | 4 |
| 3236 | 29873 | 6 |
| 3237 | 29879 | 6 |
| 3238 | 29881 | 2 |
| 3239 | 29917 | 36 |
Questions
What is the 3236th prime number?
29873.
Which prime number is 29873?
29873 is the 3236th prime number.
What is the sum of the first 3236 primes?
45,406,461.