What is the 1715th prime number?
The 1715th prime number is 14639. The next prime is 14653 (a gap of 14) and the one before is 14633.
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 1715th one is 14639.
- 2
14639 is prime because no prime up to ā14639 ā 120.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1715th prime is close to 1715 Ć ln(1715) ā 12772, and here it is 14639.
- 4
14639 has no twin: neither 14637 nor 14641 is prime.
Primes around the 1715th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1712 | 14627 | 6 |
| 1713 | 14629 | 2 |
| 1714 | 14633 | 4 |
| 1715 | 14639 | 6 |
| 1716 | 14653 | 14 |
| 1717 | 14657 | 4 |
| 1718 | 14669 | 12 |
Questions
What is the 1715th prime number?
14639.
Which prime number is 14639?
14639 is the 1715th prime number.
What is the sum of the first 1715 primes?
11,718,216.