What is the 5981st prime number?
The 5981st prime number is 59149. The next prime is 59159 (a gap of 10) and the one before is 59141.
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 5981st one is 59149.
- 2
59149 is prime because no prime up to ā59149 ā 243.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5981st prime is close to 5981 Ć ln(5981) ā 52013, and here it is 59149.
- 4
59149 has no twin: neither 59147 nor 59151 is prime.
Primes around the 5981st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5978 | 59119 | 6 |
| 5979 | 59123 | 4 |
| 5980 | 59141 | 18 |
| 5981 | 59149 | 8 |
| 5982 | 59159 | 10 |
| 5983 | 59167 | 8 |
| 5984 | 59183 | 16 |
Questions
What is the 5981st prime number?
59149.
Which prime number is 59149?
59149 is the 5981st prime number.
What is the sum of the first 5981 primes?
167,322,886.