What is the 7133rd prime number?
The 7133rd prime number is 72053. The next prime is 72073 (a gap of 20) and the one before is 72047.
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 7133rd one is 72053.
- 2
72053 is prime because no prime up to ā72053 ā 268.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7133rd prime is close to 7133 Ć ln(7133) ā 63287, and here it is 72053.
- 4
72053 has no twin: neither 72051 nor 72055 is prime.
Primes around the 7133rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7130 | 72031 | 12 |
| 7131 | 72043 | 12 |
| 7132 | 72047 | 4 |
| 7133 | 72053 | 6 |
| 7134 | 72073 | 20 |
| 7135 | 72077 | 4 |
| 7136 | 72089 | 12 |
Questions
What is the 7133rd prime number?
72053.
Which prime number is 72053?
72053 is the 7133rd prime number.
What is the sum of the first 7133 primes?
242,953,854.