What is the 2710th prime number?
The 2710th prime number is 24413. The next prime is 24419 (a gap of 6) and the one before is 24407.
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 2710th one is 24413.
- 2
24413 is prime because no prime up to ā24413 ā 156.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2710th prime is close to 2710 Ć ln(2710) ā 21422, and here it is 24413.
- 4
24413 has no twin: neither 24411 nor 24415 is prime.
Primes around the 2710th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2707 | 24379 | 6 |
| 2708 | 24391 | 12 |
| 2709 | 24407 | 16 |
| 2710 | 24413 | 6 |
| 2711 | 24419 | 6 |
| 2712 | 24421 | 2 |
| 2713 | 24439 | 18 |
Questions
What is the 2710th prime number?
24413.
Which prime number is 24413?
24413 is the 2710th prime number.
What is the sum of the first 2710 primes?
31,120,449.