What is the 5978th prime number?
The 5978th prime number is 59119. The next prime is 59123 (a gap of 4) and the one before is 59113.
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 5978th one is 59119.
- 2
59119 is prime because no prime up to ā59119 ā 243.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5978th prime is close to 5978 Ć ln(5978) ā 51984, and here it is 59119.
- 4
59119 has no twin: neither 59117 nor 59121 is prime.
Primes around the 5978th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5975 | 59093 | 10 |
| 5976 | 59107 | 14 |
| 5977 | 59113 | 6 |
| 5978 | 59119 | 6 |
| 5979 | 59123 | 4 |
| 5980 | 59141 | 18 |
| 5981 | 59149 | 8 |
Questions
What is the 5978th prime number?
59119.
Which prime number is 59119?
59119 is the 5978th prime number.
What is the sum of the first 5978 primes?
167,145,473.