What is the 5679th prime number?
The 5679th prime number is 55933. The next prime is 55949 (a gap of 16) and the one before is 55931.
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 5679th one is 55933.
- 2
55933 is prime because no prime up to ā55933 ā 236.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5679th prime is close to 5679 Ć ln(5679) ā 49092, and here it is 55933.
- 4
55933 is a twin prime: 55931 and 55933 are both prime.
Primes around the 5679th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5676 | 55921 | 18 |
| 5677 | 55927 | 6 |
| 5678 | 55931 | 4 |
| 5679 | 55933 | 2 |
| 5680 | 55949 | 16 |
| 5681 | 55967 | 18 |
| 5682 | 55987 | 20 |
Questions
What is the 5679th prime number?
55933.
Which prime number is 55933?
55933 is the 5679th prime number.
What is the sum of the first 5679 primes?
149,943,484.