What is the 5753rd prime number?
The 5753rd prime number is 56737. The next prime is 56747 (a gap of 10) and the one before is 56731.
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 5753rd one is 56737.
- 2
56737 is prime because no prime up to ā56737 ā 238.20 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5753rd prime is close to 5753 Ć ln(5753) ā 49806, and here it is 56737.
- 4
56737 has no twin: neither 56735 nor 56739 is prime.
Primes around the 5753rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5750 | 56711 | 10 |
| 5751 | 56713 | 2 |
| 5752 | 56731 | 18 |
| 5753 | 56737 | 6 |
| 5754 | 56747 | 10 |
| 5755 | 56767 | 20 |
| 5756 | 56773 | 6 |
Questions
What is the 5753rd prime number?
56737.
Which prime number is 56737?
56737 is the 5753rd prime number.
What is the sum of the first 5753 primes?
154,114,300.