What is the 706th prime number?
The 706th prime number is 5333. The next prime is 5347 (a gap of 14) and the one before is 5323.
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 706th one is 5333.
- 2
5333 is prime because no prime up to ā5333 ā 73.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 706th prime is close to 706 Ć ln(706) ā 4631, and here it is 5333.
- 4
5333 has no twin: neither 5331 nor 5335 is prime.
Primes around the 706th
| Position | Prime | Gap from the previous |
|---|---|---|
| 703 | 5303 | 6 |
| 704 | 5309 | 6 |
| 705 | 5323 | 14 |
| 706 | 5333 | 10 |
| 707 | 5347 | 14 |
| 708 | 5351 | 4 |
| 709 | 5381 | 30 |
Questions
What is the 706th prime number?
5333.
Which prime number is 5333?
5333 is the 706th prime number.
What is the sum of the first 706 primes?
1,739,135.