What is the 5757th prime number?
The 5757th prime number is 56779. The next prime is 56783 (a gap of 4) and the one before is 56773.
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 5757th one is 56779.
- 2
56779 is prime because no prime up to ā56779 ā 238.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5757th prime is close to 5757 Ć ln(5757) ā 49845, and here it is 56779.
- 4
56779 has no twin: neither 56777 nor 56781 is prime.
Primes around the 5757th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5754 | 56747 | 10 |
| 5755 | 56767 | 20 |
| 5756 | 56773 | 6 |
| 5757 | 56779 | 6 |
| 5758 | 56783 | 4 |
| 5759 | 56807 | 24 |
| 5760 | 56809 | 2 |
Questions
What is the 5757th prime number?
56779.
Which prime number is 56779?
56779 is the 5757th prime number.
What is the sum of the first 5757 primes?
154,341,366.