What is the 3260th prime number?
The 3260th prime number is 30137. The next prime is 30139 (a gap of 2) and the one before is 30133.
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 3260th one is 30137.
- 2
30137 is prime because no prime up to ā30137 ā 173.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3260th prime is close to 3260 Ć ln(3260) ā 26372, and here it is 30137.
- 4
30137 is a twin prime: 30137 and 30139 are both prime.
Primes around the 3260th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3257 | 30113 | 4 |
| 3258 | 30119 | 6 |
| 3259 | 30133 | 14 |
| 3260 | 30137 | 4 |
| 3261 | 30139 | 2 |
| 3262 | 30161 | 22 |
| 3263 | 30169 | 8 |
Questions
What is the 3260th prime number?
30137.
Which prime number is 30137?
30137 is the 3260th prime number.
What is the sum of the first 3260 primes?
46,127,085.