What is the 3259th prime number?
The 3259th prime number is 30133. The next prime is 30137 (a gap of 4) and the one before is 30119.
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 3259th one is 30133.
- 2
30133 is prime because no prime up to ā30133 ā 173.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3259th prime is close to 3259 Ć ln(3259) ā 26363, and here it is 30133.
- 4
30133 has no twin: neither 30131 nor 30135 is prime.
Primes around the 3259th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3256 | 30109 | 6 |
| 3257 | 30113 | 4 |
| 3258 | 30119 | 6 |
| 3259 | 30133 | 14 |
| 3260 | 30137 | 4 |
| 3261 | 30139 | 2 |
| 3262 | 30161 | 22 |
Questions
What is the 3259th prime number?
30133.
Which prime number is 30133?
30133 is the 3259th prime number.
What is the sum of the first 3259 primes?
46,096,948.