What is the 3261st prime number?
The 3261st prime number is 30139. The next prime is 30161 (a gap of 22) and the one before is 30137.
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 3261st one is 30139.
- 2
30139 is prime because no prime up to ā30139 ā 173.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3261st prime is close to 3261 Ć ln(3261) ā 26381, and here it is 30139.
- 4
30139 is a twin prime: 30137 and 30139 are both prime.
Primes around the 3261st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3258 | 30119 | 6 |
| 3259 | 30133 | 14 |
| 3260 | 30137 | 4 |
| 3261 | 30139 | 2 |
| 3262 | 30161 | 22 |
| 3263 | 30169 | 8 |
| 3264 | 30181 | 12 |
Questions
What is the 3261st prime number?
30139.
Which prime number is 30139?
30139 is the 3261st prime number.
What is the sum of the first 3261 primes?
46,157,224.