What is the 708th prime number?
The 708th prime number is 5351. The next prime is 5381 (a gap of 30) and the one before is 5347.
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 708th one is 5351.
- 2
5351 is prime because no prime up to ā5351 ā 73.15 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 708th prime is close to 708 Ć ln(708) ā 4646, and here it is 5351.
- 4
5351 has no twin: neither 5349 nor 5353 is prime.
Primes around the 708th
| Position | Prime | Gap from the previous |
|---|---|---|
| 705 | 5323 | 14 |
| 706 | 5333 | 10 |
| 707 | 5347 | 14 |
| 708 | 5351 | 4 |
| 709 | 5381 | 30 |
| 710 | 5387 | 6 |
| 711 | 5393 | 6 |
Questions
What is the 708th prime number?
5351.
Which prime number is 5351?
5351 is the 708th prime number.
What is the sum of the first 708 primes?
1,749,833.