What is the 5945th prime number?
The 5945th prime number is 58763. The next prime is 58771 (a gap of 8) and the one before is 58757.
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 5945th one is 58763.
- 2
58763 is prime because no prime up to ā58763 ā 242.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5945th prime is close to 5945 Ć ln(5945) ā 51664, and here it is 58763.
- 4
58763 has no twin: neither 58761 nor 58765 is prime.
Primes around the 5945th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5942 | 58733 | 6 |
| 5943 | 58741 | 8 |
| 5944 | 58757 | 16 |
| 5945 | 58763 | 6 |
| 5946 | 58771 | 8 |
| 5947 | 58787 | 16 |
| 5948 | 58789 | 2 |
Questions
What is the 5945th prime number?
58763.
Which prime number is 58763?
58763 is the 5945th prime number.
What is the sum of the first 5945 primes?
165,199,260.