What is the 7134th prime number?
The 7134th prime number is 72073. The next prime is 72077 (a gap of 4) and the one before is 72053.
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 7134th one is 72073.
- 2
72073 is prime because no prime up to ā72073 ā 268.46 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7134th prime is close to 7134 Ć ln(7134) ā 63297, and here it is 72073.
- 4
72073 has no twin: neither 72071 nor 72075 is prime.
Primes around the 7134th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7131 | 72043 | 12 |
| 7132 | 72047 | 4 |
| 7133 | 72053 | 6 |
| 7134 | 72073 | 20 |
| 7135 | 72077 | 4 |
| 7136 | 72089 | 12 |
| 7137 | 72091 | 2 |
Questions
What is the 7134th prime number?
72073.
Which prime number is 72073?
72073 is the 7134th prime number.
What is the sum of the first 7134 primes?
243,025,927.