What is the 5682nd prime number?
The 5682nd prime number is 55987. The next prime is 55997 (a gap of 10) and the one before is 55967.
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 5682nd one is 55987.
- 2
55987 is prime because no prime up to ā55987 ā 236.62 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5682nd prime is close to 5682 Ć ln(5682) ā 49121, and here it is 55987.
- 4
55987 has no twin: neither 55985 nor 55989 is prime.
Primes around the 5682nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5679 | 55933 | 2 |
| 5680 | 55949 | 16 |
| 5681 | 55967 | 18 |
| 5682 | 55987 | 20 |
| 5683 | 55997 | 10 |
| 5684 | 56003 | 6 |
| 5685 | 56009 | 6 |
Questions
What is the 5682nd prime number?
55987.
Which prime number is 55987?
55987 is the 5682nd prime number.
What is the sum of the first 5682 primes?
150,111,387.