What is the 704th prime number?
The 704th prime number is 5309. The next prime is 5323 (a gap of 14) and the one before is 5303.
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 704th one is 5309.
- 2
5309 is prime because no prime up to ā5309 ā 72.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 704th prime is close to 704 Ć ln(704) ā 4616, and here it is 5309.
- 4
5309 has no twin: neither 5307 nor 5311 is prime.
Primes around the 704th
| Position | Prime | Gap from the previous |
|---|---|---|
| 701 | 5281 | 2 |
| 702 | 5297 | 16 |
| 703 | 5303 | 6 |
| 704 | 5309 | 6 |
| 705 | 5323 | 14 |
| 706 | 5333 | 10 |
| 707 | 5347 | 14 |
Questions
What is the 704th prime number?
5309.
Which prime number is 5309?
5309 is the 704th prime number.
What is the sum of the first 704 primes?
1,728,479.