What is the 5670th prime number?
The 5670th prime number is 55849. The next prime is 55871 (a gap of 22) and the one before is 55843.
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 5670th one is 55849.
- 2
55849 is prime because no prime up to ā55849 ā 236.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5670th prime is close to 5670 Ć ln(5670) ā 49005, and here it is 55849.
- 4
55849 has no twin: neither 55847 nor 55851 is prime.
Primes around the 5670th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5667 | 55829 | 6 |
| 5668 | 55837 | 8 |
| 5669 | 55843 | 6 |
| 5670 | 55849 | 6 |
| 5671 | 55871 | 22 |
| 5672 | 55889 | 18 |
| 5673 | 55897 | 8 |
Questions
What is the 5670th prime number?
55849.
Which prime number is 55849?
55849 is the 5670th prime number.
What is the sum of the first 5670 primes?
149,440,311.