What is the 4685th prime number?
The 4685th prime number is 45131. The next prime is 45137 (a gap of 6) and the one before is 45127.
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 4685th one is 45131.
- 2
45131 is prime because no prime up to ā45131 ā 212.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4685th prime is close to 4685 Ć ln(4685) ā 39598, and here it is 45131.
- 4
45131 has no twin: neither 45129 nor 45133 is prime.
Primes around the 4685th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4682 | 45119 | 36 |
| 4683 | 45121 | 2 |
| 4684 | 45127 | 6 |
| 4685 | 45131 | 4 |
| 4686 | 45137 | 6 |
| 4687 | 45139 | 2 |
| 4688 | 45161 | 22 |
Questions
What is the 4685th prime number?
45131.
Which prime number is 45131?
45131 is the 4685th prime number.
What is the sum of the first 4685 primes?
99,684,192.