What is the 751st prime number?
The 751st prime number is 5701. The next prime is 5711 (a gap of 10) and the one before is 5693.
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 751st one is 5701.
- 2
5701 is prime because no prime up to ā5701 ā 75.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 751st prime is close to 751 Ć ln(751) ā 4973, and here it is 5701.
- 4
5701 has no twin: neither 5699 nor 5703 is prime.
Primes around the 751st
| Position | Prime | Gap from the previous |
|---|---|---|
| 748 | 5683 | 14 |
| 749 | 5689 | 6 |
| 750 | 5693 | 4 |
| 751 | 5701 | 8 |
| 752 | 5711 | 10 |
| 753 | 5717 | 6 |
| 754 | 5737 | 20 |
Questions
What is the 751st prime number?
5701.
Which prime number is 5701?
5701 is the 751st prime number.
What is the sum of the first 751 primes?
1,987,808.