What is the 7140th prime number?
The 7140th prime number is 72109. The next prime is 72139 (a gap of 30) and the one before is 72103.
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 7140th one is 72109.
- 2
72109 is prime because no prime up to ā72109 ā 268.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7140th prime is close to 7140 Ć ln(7140) ā 63357, and here it is 72109.
- 4
72109 has no twin: neither 72107 nor 72111 is prime.
Primes around the 7140th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7137 | 72091 | 2 |
| 7138 | 72101 | 10 |
| 7139 | 72103 | 2 |
| 7140 | 72109 | 6 |
| 7141 | 72139 | 30 |
| 7142 | 72161 | 22 |
| 7143 | 72167 | 6 |
Questions
What is the 7140th prime number?
72109.
Which prime number is 72109?
72109 is the 7140th prime number.
What is the sum of the first 7140 primes?
243,458,497.