What is the 5754th prime number?
The 5754th prime number is 56747. The next prime is 56767 (a gap of 20) and the one before is 56737.
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 5754th one is 56747.
- 2
56747 is prime because no prime up to ā56747 ā 238.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5754th prime is close to 5754 Ć ln(5754) ā 49816, and here it is 56747.
- 4
56747 has no twin: neither 56745 nor 56749 is prime.
Primes around the 5754th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5751 | 56713 | 2 |
| 5752 | 56731 | 18 |
| 5753 | 56737 | 6 |
| 5754 | 56747 | 10 |
| 5755 | 56767 | 20 |
| 5756 | 56773 | 6 |
| 5757 | 56779 | 6 |
Questions
What is the 5754th prime number?
56747.
Which prime number is 56747?
56747 is the 5754th prime number.
What is the sum of the first 5754 primes?
154,171,047.