What is the 701st prime number?
The 701st prime number is 5281. The next prime is 5297 (a gap of 16) and the one before is 5279.
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 701st one is 5281.
- 2
5281 is prime because no prime up to ā5281 ā 72.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 701st prime is close to 701 Ć ln(701) ā 4593, and here it is 5281.
- 4
5281 is a twin prime: 5279 and 5281 are both prime.
Primes around the 701st
| Position | Prime | Gap from the previous |
|---|---|---|
| 698 | 5261 | 24 |
| 699 | 5273 | 12 |
| 700 | 5279 | 6 |
| 701 | 5281 | 2 |
| 702 | 5297 | 16 |
| 703 | 5303 | 6 |
| 704 | 5309 | 6 |
Questions
What is the 701st prime number?
5281.
Which prime number is 5281?
5281 is the 701st prime number.
What is the sum of the first 701 primes?
1,712,570.