What is the 5984th prime number?
The 5984th prime number is 59183. The next prime is 59197 (a gap of 14) and the one before is 59167.
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 5984th one is 59183.
- 2
59183 is prime because no prime up to ā59183 ā 243.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5984th prime is close to 5984 Ć ln(5984) ā 52042, and here it is 59183.
- 4
59183 has no twin: neither 59181 nor 59185 is prime.
Primes around the 5984th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5981 | 59149 | 8 |
| 5982 | 59159 | 10 |
| 5983 | 59167 | 8 |
| 5984 | 59183 | 16 |
| 5985 | 59197 | 14 |
| 5986 | 59207 | 10 |
| 5987 | 59209 | 2 |
Questions
What is the 5984th prime number?
59183.
Which prime number is 59183?
59183 is the 5984th prime number.
What is the sum of the first 5984 primes?
167,500,395.