What is the 1758th prime number?
The 1758th prime number is 15053. The next prime is 15061 (a gap of 8) and the one before is 15031.
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 1758th one is 15053.
- 2
15053 is prime because no prime up to ā15053 ā 122.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1758th prime is close to 1758 Ć ln(1758) ā 13136, and here it is 15053.
- 4
15053 has no twin: neither 15051 nor 15055 is prime.
Primes around the 1758th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1755 | 15013 | 30 |
| 1756 | 15017 | 4 |
| 1757 | 15031 | 14 |
| 1758 | 15053 | 22 |
| 1759 | 15061 | 8 |
| 1760 | 15073 | 12 |
| 1761 | 15077 | 4 |
Questions
What is the 1758th prime number?
15053.
Which prime number is 15053?
15053 is the 1758th prime number.
What is the sum of the first 1758 primes?
12,356,083.