What is the 700th prime number?
The 700th prime number is 5279. The next prime is 5281 (a gap of 2) and the one before is 5273.
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 700th one is 5279.
- 2
5279 is prime because no prime up to ā5279 ā 72.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 700th prime is close to 700 Ć ln(700) ā 4586, and here it is 5279.
- 4
5279 is a twin prime: 5279 and 5281 are both prime.
Primes around the 700th
| Position | Prime | Gap from the previous |
|---|---|---|
| 697 | 5237 | 4 |
| 698 | 5261 | 24 |
| 699 | 5273 | 12 |
| 700 | 5279 | 6 |
| 701 | 5281 | 2 |
| 702 | 5297 | 16 |
| 703 | 5303 | 6 |
Questions
What is the 700th prime number?
5279.
Which prime number is 5279?
5279 is the 700th prime number.
What is the sum of the first 700 primes?
1,707,289.