What is the 5680th prime number?
The 5680th prime number is 55949. The next prime is 55967 (a gap of 18) and the one before is 55933.
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 5680th one is 55949.
- 2
55949 is prime because no prime up to ā55949 ā 236.54 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5680th prime is close to 5680 Ć ln(5680) ā 49102, and here it is 55949.
- 4
55949 has no twin: neither 55947 nor 55951 is prime.
Primes around the 5680th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5677 | 55927 | 6 |
| 5678 | 55931 | 4 |
| 5679 | 55933 | 2 |
| 5680 | 55949 | 16 |
| 5681 | 55967 | 18 |
| 5682 | 55987 | 20 |
| 5683 | 55997 | 10 |
Questions
What is the 5680th prime number?
55949.
Which prime number is 55949?
55949 is the 5680th prime number.
What is the sum of the first 5680 primes?
149,999,433.