What is the 5983rd prime number?
The 5983rd prime number is 59167. The next prime is 59183 (a gap of 16) and the one before is 59159.
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 5983rd one is 59167.
- 2
59167 is prime because no prime up to ā59167 ā 243.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5983rd prime is close to 5983 Ć ln(5983) ā 52032, and here it is 59167.
- 4
59167 has no twin: neither 59165 nor 59169 is prime.
Primes around the 5983rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5980 | 59141 | 18 |
| 5981 | 59149 | 8 |
| 5982 | 59159 | 10 |
| 5983 | 59167 | 8 |
| 5984 | 59183 | 16 |
| 5985 | 59197 | 14 |
| 5986 | 59207 | 10 |
Questions
What is the 5983rd prime number?
59167.
Which prime number is 59167?
59167 is the 5983rd prime number.
What is the sum of the first 5983 primes?
167,441,212.