What is the 5678th prime number?
The 5678th prime number is 55931. The next prime is 55933 (a gap of 2) and the one before is 55927.
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 5678th one is 55931.
- 2
55931 is prime because no prime up to ā55931 ā 236.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5678th prime is close to 5678 Ć ln(5678) ā 49083, and here it is 55931.
- 4
55931 is a twin prime: 55931 and 55933 are both prime.
Primes around the 5678th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5675 | 55903 | 2 |
| 5676 | 55921 | 18 |
| 5677 | 55927 | 6 |
| 5678 | 55931 | 4 |
| 5679 | 55933 | 2 |
| 5680 | 55949 | 16 |
| 5681 | 55967 | 18 |
Questions
What is the 5678th prime number?
55931.
Which prime number is 55931?
55931 is the 5678th prime number.
What is the sum of the first 5678 primes?
149,887,551.