What is the 5980th prime number?
The 5980th prime number is 59141. The next prime is 59149 (a gap of 8) and the one before is 59123.
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 5980th one is 59141.
- 2
59141 is prime because no prime up to ā59141 ā 243.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5980th prime is close to 5980 Ć ln(5980) ā 52003, and here it is 59141.
- 4
59141 has no twin: neither 59139 nor 59143 is prime.
Primes around the 5980th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5977 | 59113 | 6 |
| 5978 | 59119 | 6 |
| 5979 | 59123 | 4 |
| 5980 | 59141 | 18 |
| 5981 | 59149 | 8 |
| 5982 | 59159 | 10 |
| 5983 | 59167 | 8 |
Questions
What is the 5980th prime number?
59141.
Which prime number is 59141?
59141 is the 5980th prime number.
What is the sum of the first 5980 primes?
167,263,737.