What is the 5736th prime number?
The 5736th prime number is 56543. The next prime is 56569 (a gap of 26) and the one before is 56533.
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 5736th one is 56543.
- 2
56543 is prime because no prime up to ā56543 ā 237.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5736th prime is close to 5736 Ć ln(5736) ā 49642, and here it is 56543.
- 4
56543 has no twin: neither 56541 nor 56545 is prime.
Primes around the 5736th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5733 | 56527 | 8 |
| 5734 | 56531 | 4 |
| 5735 | 56533 | 2 |
| 5736 | 56543 | 10 |
| 5737 | 56569 | 26 |
| 5738 | 56591 | 22 |
| 5739 | 56597 | 6 |
Questions
What is the 5736th prime number?
56543.
Which prime number is 56543?
56543 is the 5736th prime number.
What is the sum of the first 5736 primes?
153,151,117.