What is the 7135th prime number?
The 7135th prime number is 72077. The next prime is 72089 (a gap of 12) and the one before is 72073.
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 7135th one is 72077.
- 2
72077 is prime because no prime up to ā72077 ā 268.47 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7135th prime is close to 7135 Ć ln(7135) ā 63307, and here it is 72077.
- 4
72077 has no twin: neither 72075 nor 72079 is prime.
Primes around the 7135th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7132 | 72047 | 4 |
| 7133 | 72053 | 6 |
| 7134 | 72073 | 20 |
| 7135 | 72077 | 4 |
| 7136 | 72089 | 12 |
| 7137 | 72091 | 2 |
| 7138 | 72101 | 10 |
Questions
What is the 7135th prime number?
72077.
Which prime number is 72077?
72077 is the 7135th prime number.
What is the sum of the first 7135 primes?
243,098,004.