What is the 6073rd prime number?
The 6073rd prime number is 60149. The next prime is 60161 (a gap of 12) and the one before is 60139.
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 6073rd one is 60149.
- 2
60149 is prime because no prime up to ā60149 ā 245.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6073rd prime is close to 6073 Ć ln(6073) ā 52906, and here it is 60149.
- 4
60149 has no twin: neither 60147 nor 60151 is prime.
Primes around the 6073rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6070 | 60127 | 20 |
| 6071 | 60133 | 6 |
| 6072 | 60139 | 6 |
| 6073 | 60149 | 10 |
| 6074 | 60161 | 12 |
| 6075 | 60167 | 6 |
| 6076 | 60169 | 2 |
Questions
What is the 6073rd prime number?
60149.
Which prime number is 60149?
60149 is the 6073rd prime number.
What is the sum of the first 6073 primes?
172,810,074.