What is the 5674th prime number?
The 5674th prime number is 55901. The next prime is 55903 (a gap of 2) and the one before is 55897.
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 5674th one is 55901.
- 2
55901 is prime because no prime up to ā55901 ā 236.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5674th prime is close to 5674 Ć ln(5674) ā 49044, and here it is 55901.
- 4
55901 is a twin prime: 55901 and 55903 are both prime.
Primes around the 5674th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5671 | 55871 | 22 |
| 5672 | 55889 | 18 |
| 5673 | 55897 | 8 |
| 5674 | 55901 | 4 |
| 5675 | 55903 | 2 |
| 5676 | 55921 | 18 |
| 5677 | 55927 | 6 |
Questions
What is the 5674th prime number?
55901.
Which prime number is 55901?
55901 is the 5674th prime number.
What is the sum of the first 5674 primes?
149,663,869.