What is the 1762nd prime number?
The 1762nd prime number is 15083. The next prime is 15091 (a gap of 8) and the one before is 15077.
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 1762nd one is 15083.
- 2
15083 is prime because no prime up to ā15083 ā 122.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1762nd prime is close to 1762 Ć ln(1762) ā 13170, and here it is 15083.
- 4
15083 has no twin: neither 15081 nor 15085 is prime.
Primes around the 1762nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1759 | 15061 | 8 |
| 1760 | 15073 | 12 |
| 1761 | 15077 | 4 |
| 1762 | 15083 | 6 |
| 1763 | 15091 | 8 |
| 1764 | 15101 | 10 |
| 1765 | 15107 | 6 |
Questions
What is the 1762nd prime number?
15083.
Which prime number is 15083?
15083 is the 1762nd prime number.
What is the sum of the first 1762 primes?
12,416,377.