What is the 7085th prime number?
The 7085th prime number is 71537. The next prime is 71549 (a gap of 12) and the one before is 71527.
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 7085th one is 71537.
- 2
71537 is prime because no prime up to ā71537 ā 267.46 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7085th prime is close to 7085 Ć ln(7085) ā 62814, and here it is 71537.
- 4
71537 has no twin: neither 71535 nor 71539 is prime.
Primes around the 7085th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7082 | 71483 | 4 |
| 7083 | 71503 | 20 |
| 7084 | 71527 | 24 |
| 7085 | 71537 | 10 |
| 7086 | 71549 | 12 |
| 7087 | 71551 | 2 |
| 7088 | 71563 | 12 |
Questions
What is the 7085th prime number?
71537.
Which prime number is 71537?
71537 is the 7085th prime number.
What is the sum of the first 7085 primes?
239,506,532.