What is the 3258th prime number?
The 3258th prime number is 30119. The next prime is 30133 (a gap of 14) and the one before is 30113.
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 3258th one is 30119.
- 2
30119 is prime because no prime up to ā30119 ā 173.55 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3258th prime is close to 3258 Ć ln(3258) ā 26354, and here it is 30119.
- 4
30119 has no twin: neither 30117 nor 30121 is prime.
Primes around the 3258th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3255 | 30103 | 6 |
| 3256 | 30109 | 6 |
| 3257 | 30113 | 4 |
| 3258 | 30119 | 6 |
| 3259 | 30133 | 14 |
| 3260 | 30137 | 4 |
| 3261 | 30139 | 2 |
Questions
What is the 3258th prime number?
30119.
Which prime number is 30119?
30119 is the 3258th prime number.
What is the sum of the first 3258 primes?
46,066,815.