What is the 4687th prime number?
The 4687th prime number is 45139. The next prime is 45161 (a gap of 22) and the one before is 45137.
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 4687th one is 45139.
- 2
45139 is prime because no prime up to ā45139 ā 212.46 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4687th prime is close to 4687 Ć ln(4687) ā 39617, and here it is 45139.
- 4
45139 is a twin prime: 45137 and 45139 are both prime.
Primes around the 4687th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4684 | 45127 | 6 |
| 4685 | 45131 | 4 |
| 4686 | 45137 | 6 |
| 4687 | 45139 | 2 |
| 4688 | 45161 | 22 |
| 4689 | 45179 | 18 |
| 4690 | 45181 | 2 |
Questions
What is the 4687th prime number?
45139.
Which prime number is 45139?
45139 is the 4687th prime number.
What is the sum of the first 4687 primes?
99,774,468.