What is the 5973rd prime number?
The 5973rd prime number is 59077. The next prime is 59083 (a gap of 6) and the one before is 59069.
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 5973rd one is 59077.
- 2
59077 is prime because no prime up to ā59077 ā 243.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5973rd prime is close to 5973 Ć ln(5973) ā 51935, and here it is 59077.
- 4
59077 has no twin: neither 59075 nor 59079 is prime.
Primes around the 5973rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5970 | 59053 | 2 |
| 5971 | 59063 | 10 |
| 5972 | 59069 | 6 |
| 5973 | 59077 | 8 |
| 5974 | 59083 | 6 |
| 5975 | 59093 | 10 |
| 5976 | 59107 | 14 |
Questions
What is the 5973rd prime number?
59077.
Which prime number is 59077?
59077 is the 5973rd prime number.
What is the sum of the first 5973 primes?
166,849,958.