What is the 5979th prime number?
The 5979th prime number is 59123. The next prime is 59141 (a gap of 18) and the one before is 59119.
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 5979th one is 59123.
- 2
59123 is prime because no prime up to ā59123 ā 243.15 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5979th prime is close to 5979 Ć ln(5979) ā 51993, and here it is 59123.
- 4
59123 has no twin: neither 59121 nor 59125 is prime.
Primes around the 5979th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5976 | 59107 | 14 |
| 5977 | 59113 | 6 |
| 5978 | 59119 | 6 |
| 5979 | 59123 | 4 |
| 5980 | 59141 | 18 |
| 5981 | 59149 | 8 |
| 5982 | 59159 | 10 |
Questions
What is the 5979th prime number?
59123.
Which prime number is 59123?
59123 is the 5979th prime number.
What is the sum of the first 5979 primes?
167,204,596.