What is the 1759th prime number?
The 1759th prime number is 15061. The next prime is 15073 (a gap of 12) and the one before is 15053.
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 1759th one is 15061.
- 2
15061 is prime because no prime up to ā15061 ā 122.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1759th prime is close to 1759 Ć ln(1759) ā 13144, and here it is 15061.
- 4
15061 has no twin: neither 15059 nor 15063 is prime.
Primes around the 1759th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1756 | 15017 | 4 |
| 1757 | 15031 | 14 |
| 1758 | 15053 | 22 |
| 1759 | 15061 | 8 |
| 1760 | 15073 | 12 |
| 1761 | 15077 | 4 |
| 1762 | 15083 | 6 |
Questions
What is the 1759th prime number?
15061.
Which prime number is 15061?
15061 is the 1759th prime number.
What is the sum of the first 1759 primes?
12,371,144.