What is the 5982nd prime number?
The 5982nd prime number is 59159. The next prime is 59167 (a gap of 8) and the one before is 59149.
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 5982nd one is 59159.
- 2
59159 is prime because no prime up to ā59159 ā 243.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5982nd prime is close to 5982 Ć ln(5982) ā 52023, and here it is 59159.
- 4
59159 has no twin: neither 59157 nor 59161 is prime.
Primes around the 5982nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5979 | 59123 | 4 |
| 5980 | 59141 | 18 |
| 5981 | 59149 | 8 |
| 5982 | 59159 | 10 |
| 5983 | 59167 | 8 |
| 5984 | 59183 | 16 |
| 5985 | 59197 | 14 |
Questions
What is the 5982nd prime number?
59159.
Which prime number is 59159?
59159 is the 5982nd prime number.
What is the sum of the first 5982 primes?
167,382,045.