What is the 5671st prime number?
The 5671st prime number is 55871. The next prime is 55889 (a gap of 18) and the one before is 55849.
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 5671st one is 55871.
- 2
55871 is prime because no prime up to ā55871 ā 236.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5671st prime is close to 5671 Ć ln(5671) ā 49015, and here it is 55871.
- 4
55871 has no twin: neither 55869 nor 55873 is prime.
Primes around the 5671st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5668 | 55837 | 8 |
| 5669 | 55843 | 6 |
| 5670 | 55849 | 6 |
| 5671 | 55871 | 22 |
| 5672 | 55889 | 18 |
| 5673 | 55897 | 8 |
| 5674 | 55901 | 4 |
Questions
What is the 5671st prime number?
55871.
Which prime number is 55871?
55871 is the 5671st prime number.
What is the sum of the first 5671 primes?
149,496,182.