What is the 1760th prime number?
The 1760th prime number is 15073. The next prime is 15077 (a gap of 4) and the one before is 15061.
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 1760th one is 15073.
- 2
15073 is prime because no prime up to ā15073 ā 122.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1760th prime is close to 1760 Ć ln(1760) ā 13153, and here it is 15073.
- 4
15073 has no twin: neither 15071 nor 15075 is prime.
Primes around the 1760th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1757 | 15031 | 14 |
| 1758 | 15053 | 22 |
| 1759 | 15061 | 8 |
| 1760 | 15073 | 12 |
| 1761 | 15077 | 4 |
| 1762 | 15083 | 6 |
| 1763 | 15091 | 8 |
Questions
What is the 1760th prime number?
15073.
Which prime number is 15073?
15073 is the 1760th prime number.
What is the sum of the first 1760 primes?
12,386,217.