What is the 5944th prime number?
The 5944th prime number is 58757. The next prime is 58763 (a gap of 6) and the one before is 58741.
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 5944th one is 58757.
- 2
58757 is prime because no prime up to ā58757 ā 242.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5944th prime is close to 5944 Ć ln(5944) ā 51654, and here it is 58757.
- 4
58757 has no twin: neither 58755 nor 58759 is prime.
Primes around the 5944th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5941 | 58727 | 16 |
| 5942 | 58733 | 6 |
| 5943 | 58741 | 8 |
| 5944 | 58757 | 16 |
| 5945 | 58763 | 6 |
| 5946 | 58771 | 8 |
| 5947 | 58787 | 16 |
Questions
What is the 5944th prime number?
58757.
Which prime number is 58757?
58757 is the 5944th prime number.
What is the sum of the first 5944 primes?
165,140,497.