What is the 5673rd prime number?
The 5673rd prime number is 55897. The next prime is 55901 (a gap of 4) and the one before is 55889.
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 5673rd one is 55897.
- 2
55897 is prime because no prime up to ā55897 ā 236.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5673rd prime is close to 5673 Ć ln(5673) ā 49034, and here it is 55897.
- 4
55897 has no twin: neither 55895 nor 55899 is prime.
Primes around the 5673rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5670 | 55849 | 6 |
| 5671 | 55871 | 22 |
| 5672 | 55889 | 18 |
| 5673 | 55897 | 8 |
| 5674 | 55901 | 4 |
| 5675 | 55903 | 2 |
| 5676 | 55921 | 18 |
Questions
What is the 5673rd prime number?
55897.
Which prime number is 55897?
55897 is the 5673rd prime number.
What is the sum of the first 5673 primes?
149,607,968.