What is the 707th prime number?
The 707th prime number is 5347. The next prime is 5351 (a gap of 4) and the one before is 5333.
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 707th one is 5347.
- 2
5347 is prime because no prime up to ā5347 ā 73.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 707th prime is close to 707 Ć ln(707) ā 4639, and here it is 5347.
- 4
5347 has no twin: neither 5345 nor 5349 is prime.
Primes around the 707th
| Position | Prime | Gap from the previous |
|---|---|---|
| 704 | 5309 | 6 |
| 705 | 5323 | 14 |
| 706 | 5333 | 10 |
| 707 | 5347 | 14 |
| 708 | 5351 | 4 |
| 709 | 5381 | 30 |
| 710 | 5387 | 6 |
Questions
What is the 707th prime number?
5347.
Which prime number is 5347?
5347 is the 707th prime number.
What is the sum of the first 707 primes?
1,744,482.