What is the 7136th prime number?
The 7136th prime number is 72089. The next prime is 72091 (a gap of 2) and the one before is 72077.
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 7136th one is 72089.
- 2
72089 is prime because no prime up to ā72089 ā 268.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7136th prime is close to 7136 Ć ln(7136) ā 63317, and here it is 72089.
- 4
72089 is a twin prime: 72089 and 72091 are both prime.
Primes around the 7136th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7133 | 72053 | 6 |
| 7134 | 72073 | 20 |
| 7135 | 72077 | 4 |
| 7136 | 72089 | 12 |
| 7137 | 72091 | 2 |
| 7138 | 72101 | 10 |
| 7139 | 72103 | 2 |
Questions
What is the 7136th prime number?
72089.
Which prime number is 72089?
72089 is the 7136th prime number.
What is the sum of the first 7136 primes?
243,170,093.