What is the 753rd prime number?
The 753rd prime number is 5717. The next prime is 5737 (a gap of 20) and the one before is 5711.
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 753rd one is 5717.
- 2
5717 is prime because no prime up to ā5717 ā 75.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 753rd prime is close to 753 Ć ln(753) ā 4988, and here it is 5717.
- 4
5717 has no twin: neither 5715 nor 5719 is prime.
Primes around the 753rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 750 | 5693 | 4 |
| 751 | 5701 | 8 |
| 752 | 5711 | 10 |
| 753 | 5717 | 6 |
| 754 | 5737 | 20 |
| 755 | 5741 | 4 |
| 756 | 5743 | 2 |
Questions
What is the 753rd prime number?
5717.
Which prime number is 5717?
5717 is the 753rd prime number.
What is the sum of the first 753 primes?
1,999,236.