What is the 7185th prime number?
The 7185th prime number is 72661. The next prime is 72671 (a gap of 10) and the one before is 72649.
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 7185th one is 72661.
- 2
72661 is prime because no prime up to ā72661 ā 269.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7185th prime is close to 7185 Ć ln(7185) ā 63801, and here it is 72661.
- 4
72661 has no twin: neither 72659 nor 72663 is prime.
Primes around the 7185th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7182 | 72643 | 20 |
| 7183 | 72647 | 4 |
| 7184 | 72649 | 2 |
| 7185 | 72661 | 12 |
| 7186 | 72671 | 10 |
| 7187 | 72673 | 2 |
| 7188 | 72679 | 6 |
Questions
What is the 7185th prime number?
72661.
Which prime number is 72661?
72661 is the 7185th prime number.
What is the sum of the first 7185 primes?
246,716,248.