What is the 3235th prime number?
The 3235th prime number is 29867. The next prime is 29873 (a gap of 6) and the one before is 29863.
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 3235th one is 29867.
- 2
29867 is prime because no prime up to ā29867 ā 172.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3235th prime is close to 3235 Ć ln(3235) ā 26145, and here it is 29867.
- 4
29867 has no twin: neither 29865 nor 29869 is prime.
Primes around the 3235th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3232 | 29837 | 4 |
| 3233 | 29851 | 14 |
| 3234 | 29863 | 12 |
| 3235 | 29867 | 4 |
| 3236 | 29873 | 6 |
| 3237 | 29879 | 6 |
| 3238 | 29881 | 2 |
Questions
What is the 3235th prime number?
29867.
Which prime number is 29867?
29867 is the 3235th prime number.
What is the sum of the first 3235 primes?
45,376,588.