What is the 4695th prime number?
The 4695th prime number is 45259. The next prime is 45263 (a gap of 4) and the one before is 45247.
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 4695th one is 45259.
- 2
45259 is prime because no prime up to ā45259 ā 212.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4695th prime is close to 4695 Ć ln(4695) ā 39693, and here it is 45259.
- 4
45259 has no twin: neither 45257 nor 45261 is prime.
Primes around the 4695th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4692 | 45197 | 6 |
| 4693 | 45233 | 36 |
| 4694 | 45247 | 14 |
| 4695 | 45259 | 12 |
| 4696 | 45263 | 4 |
| 4697 | 45281 | 18 |
| 4698 | 45289 | 8 |
Questions
What is the 4695th prime number?
45259.
Which prime number is 45259?
45259 is the 4695th prime number.
What is the sum of the first 4695 primes?
100,136,116.