What is the 5987th prime number?
The 5987th prime number is 59209. The next prime is 59219 (a gap of 10) and the one before is 59207.
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 5987th one is 59209.
- 2
59209 is prime because no prime up to ā59209 ā 243.33 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5987th prime is close to 5987 Ć ln(5987) ā 52071, and here it is 59209.
- 4
59209 is a twin prime: 59207 and 59209 are both prime.
Primes around the 5987th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5984 | 59183 | 16 |
| 5985 | 59197 | 14 |
| 5986 | 59207 | 10 |
| 5987 | 59209 | 2 |
| 5988 | 59219 | 10 |
| 5989 | 59221 | 2 |
| 5990 | 59233 | 12 |
Questions
What is the 5987th prime number?
59209.
Which prime number is 59209?
59209 is the 5987th prime number.
What is the sum of the first 5987 primes?
167,678,008.