What is the 7190th prime number?
The 7190th prime number is 72701. The next prime is 72707 (a gap of 6) and the one before is 72689.
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 7190th one is 72701.
- 2
72701 is prime because no prime up to ā72701 ā 269.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7190th prime is close to 7190 Ć ln(7190) ā 63850, and here it is 72701.
- 4
72701 has no twin: neither 72699 nor 72703 is prime.
Primes around the 7190th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7187 | 72673 | 2 |
| 7188 | 72679 | 6 |
| 7189 | 72689 | 10 |
| 7190 | 72701 | 12 |
| 7191 | 72707 | 6 |
| 7192 | 72719 | 12 |
| 7193 | 72727 | 8 |
Questions
What is the 7190th prime number?
72701.
Which prime number is 72701?
72701 is the 7190th prime number.
What is the sum of the first 7190 primes?
247,079,661.