What is the 5931st prime number?
The 5931st prime number is 58603. The next prime is 58613 (a gap of 10) and the one before is 58601.
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 5931st one is 58603.
- 2
58603 is prime because no prime up to ā58603 ā 242.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5931st prime is close to 5931 Ć ln(5931) ā 51528, and here it is 58603.
- 4
58603 is a twin prime: 58601 and 58603 are both prime.
Primes around the 5931st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5928 | 58573 | 6 |
| 5929 | 58579 | 6 |
| 5930 | 58601 | 22 |
| 5931 | 58603 | 2 |
| 5932 | 58613 | 10 |
| 5933 | 58631 | 18 |
| 5934 | 58657 | 26 |
Questions
What is the 5931st prime number?
58603.
Which prime number is 58603?
58603 is the 5931st prime number.
What is the sum of the first 5931 primes?
164,377,508.