What is the 7137th prime number?
The 7137th prime number is 72091. The next prime is 72101 (a gap of 10) and the one before is 72089.
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 7137th one is 72091.
- 2
72091 is prime because no prime up to ā72091 ā 268.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7137th prime is close to 7137 Ć ln(7137) ā 63327, and here it is 72091.
- 4
72091 is a twin prime: 72089 and 72091 are both prime.
Primes around the 7137th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7134 | 72073 | 20 |
| 7135 | 72077 | 4 |
| 7136 | 72089 | 12 |
| 7137 | 72091 | 2 |
| 7138 | 72101 | 10 |
| 7139 | 72103 | 2 |
| 7140 | 72109 | 6 |
Questions
What is the 7137th prime number?
72091.
Which prime number is 72091?
72091 is the 7137th prime number.
What is the sum of the first 7137 primes?
243,242,184.