What is the 5681st prime number?
The 5681st prime number is 55967. The next prime is 55987 (a gap of 20) and the one before is 55949.
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 5681st one is 55967.
- 2
55967 is prime because no prime up to ā55967 ā 236.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5681st prime is close to 5681 Ć ln(5681) ā 49112, and here it is 55967.
- 4
55967 has no twin: neither 55965 nor 55969 is prime.
Primes around the 5681st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5678 | 55931 | 4 |
| 5679 | 55933 | 2 |
| 5680 | 55949 | 16 |
| 5681 | 55967 | 18 |
| 5682 | 55987 | 20 |
| 5683 | 55997 | 10 |
| 5684 | 56003 | 6 |
Questions
What is the 5681st prime number?
55967.
Which prime number is 55967?
55967 is the 5681st prime number.
What is the sum of the first 5681 primes?
150,055,400.