What is the 5672nd prime number?
The 5672nd prime number is 55889. The next prime is 55897 (a gap of 8) and the one before is 55871.
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 5672nd one is 55889.
- 2
55889 is prime because no prime up to ā55889 ā 236.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5672nd prime is close to 5672 Ć ln(5672) ā 49025, and here it is 55889.
- 4
55889 has no twin: neither 55887 nor 55891 is prime.
Primes around the 5672nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5669 | 55843 | 6 |
| 5670 | 55849 | 6 |
| 5671 | 55871 | 22 |
| 5672 | 55889 | 18 |
| 5673 | 55897 | 8 |
| 5674 | 55901 | 4 |
| 5675 | 55903 | 2 |
Questions
What is the 5672nd prime number?
55889.
Which prime number is 55889?
55889 is the 5672nd prime number.
What is the sum of the first 5672 primes?
149,552,071.