What is the 5756th prime number?
The 5756th prime number is 56773. The next prime is 56779 (a gap of 6) and the one before is 56767.
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 5756th one is 56773.
- 2
56773 is prime because no prime up to ā56773 ā 238.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5756th prime is close to 5756 Ć ln(5756) ā 49835, and here it is 56773.
- 4
56773 has no twin: neither 56771 nor 56775 is prime.
Primes around the 5756th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5753 | 56737 | 6 |
| 5754 | 56747 | 10 |
| 5755 | 56767 | 20 |
| 5756 | 56773 | 6 |
| 5757 | 56779 | 6 |
| 5758 | 56783 | 4 |
| 5759 | 56807 | 24 |
Questions
What is the 5756th prime number?
56773.
Which prime number is 56773?
56773 is the 5756th prime number.
What is the sum of the first 5756 primes?
154,284,587.